{"id":16851,"date":"2024-08-02T11:01:05","date_gmt":"2024-08-02T15:01:05","guid":{"rendered":"https:\/\/blogs.mathworks.com\/simulink\/?p=16851"},"modified":"2024-08-02T11:01:05","modified_gmt":"2024-08-02T15:01:05","slug":"pole-vault-2024-olympics-update","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/simulink\/2024\/08\/02\/pole-vault-2024-olympics-update\/","title":{"rendered":"Pole Vault &#8211; 2024 Olympics update"},"content":{"rendered":"<div class = rtcContent><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><a href = \"https:\/\/matlab.mathworks.com\/open\/github\/v1?repo=simulink\/blog&amp;project=2024_08_07_pole_vault\/2024_08_07_pole_vault.prj\"><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_1.png\" width = \"136\" height = \"21\" alt = \"\" style = \"vertical-align: baseline; width: 136px; height: 21px;\"><\/img><\/a><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>In 2016, we published <\/span><a href = \"https:\/\/blogs.mathworks.com\/simulink\/2016\/08\/19\/olympic-2016-pole-vault\"><span>this blog post<\/span><\/a><span> simulating a <\/span><a href = \"https:\/\/en.wikipedia.org\/wiki\/Pole_vault_at_the_Olympics\"><span>pole vault jump<\/span><\/a><span>. I decided to revisit this topic and demonstrate how I would simulate this using the latest features in Simulink.<\/span><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Pole Vault Model<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here is an illustration of what a pole vault jump looks like:<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_2.png\" width = \"684\" height = \"362\" alt = \"\" style = \"vertical-align: baseline; width: 684px; height: 362px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span style=' font-style: italic;'>Credit: <\/span><a href = \"https:\/\/rethinkingathletics.blogspot.com\/2014\/09\/pole-vault-sprinkle-of-physics.html\"><span style=' font-style: italic;'>Rethinking Athletics: Pole vault: a sprinkle of physics<\/span><\/a><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>To simulate this event, we can divide the jump in three phases:<\/span><\/div><ul  style = 'margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif; font-size: 14px; '><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span style=' font-weight: bold;'>Approach:<\/span><span> <\/span><span>During this phase the athlete tries to maximize his speed along the runway to achieve maximum kinetic energy<\/span><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span style=' font-weight: bold;'>Take off and swing up: <\/span><span>The athlete positions the pole into the \u201cbox\u201d to convert the kinetic energy into stored potential energy in the pole and swing up.<\/span><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span style=' font-weight: bold;'>Fly away:<\/span><span> <\/span><span>The vaulter releases the pole and falls back on the mat under the influence of gravity<\/span><\/li><\/ul><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>In 2016, the way to model that was using a series of 3 <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/ifactionsubsystem.html\"><span>If Action Subsystems<\/span><\/a><span>. When switching from one phase to the next, we would transfer the states from one Subsystem to the next using the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/integrator.html\"><span>Integrator<\/span><\/a><span> block state port and <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/goto.html\"><span>GoTo<\/span><\/a><span> and <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/from.html\"><span>From<\/span><\/a><span> blocks.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_3.png\" width = \"970\" height = \"387\" alt = \"\" style = \"vertical-align: baseline; width: 970px; height: 387px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>This semantic had multiple imitations. Let's see my preferred way to implement the same equations in MATLAB R2024a.<\/span><\/div><h2  style = 'margin: 3px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Simulink States inside Stateflow<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here is what my new model looks like.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >mdl = <\/span><span style=\"color: #a709f5;\">\"poleVaultSim\"<\/span><span >;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >open_system(mdl);<\/span><\/span><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_4.png\" width = \"297\" height = \"190\" alt = \"\" style = \"vertical-align: baseline; width: 297px; height: 190px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Yes, this is correct, only one <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/stateflow\/index.html\"><span>Stateflow Chart<\/span><\/a><span>. Don't be fooled, the Simulink blocks are inside!<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The Stateflow chart is made of 4 <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/stateflow\/simulink-based-states.html\"><span>Simulink States<\/span><\/a><span> and 2 <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/stateflow\/simulink-functions.html\"><span>Simulink functions<\/span><\/a><span>.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_5.png\" width = \"819\" height = \"335\" alt = \"\" style = \"vertical-align: baseline; width: 819px; height: 335px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>During the Run Up phase, I integrate the motion of the athlete running at a constant speed. Compared to the 2016 implementation, I am able to use the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/secondorderintegrator.html\"><span>Second Order Integrator<\/span><\/a><span> instead of two <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/integrator.html\"><span>Integrator<\/span><\/a><span> blocks, because the Second Order Integrator does not have a state port option.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_6.png\" width = \"357\" height = \"245\" alt = \"\" style = \"vertical-align: baseline; width: 357px; height: 245px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>During the Take Off, the motion of the athlete is computed in polar coordinate. This makes it simpler to solve the equations for the bending of the pole.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_7.png\" width = \"813\" height = \"351\" alt = \"\" style = \"vertical-align: baseline; width: 813px; height: 351px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The important part to notice is what happens in the Simulink Functions. Using <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/statereader.html\"><span>State Reader<\/span><\/a><span> blocks, I can access the states of the Integrator blocks in the previous phase and compute the initial states of the next phase. I can then use <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/statewriter.html\"><span>State Writer<\/span><\/a><span> blocks to initialize the Integrator blocks in the next phase.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_8.png\" width = \"668\" height = \"423\" alt = \"\" style = \"vertical-align: baseline; width: 668px; height: 423px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>When simulating the model, we can follow the evolution of the simulation through the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/stateflow\/ug\/animate-stateflow-charts.html\"><span>Stateflow animation<\/span><\/a><span> and the newly revamped XY Graph block, which is just a pre-configured instance of the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/releases\/R2024a\/simulink\/slref\/record.html\"><span>Record block<\/span><\/a><span>.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_9.gif\" width = \"810\" height = \"844\" alt = \"PoleVault.gif\" style = \"vertical-align: baseline; width: 810px; height: 844px;\"><\/img><\/div><h2  style = 'margin: 3px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Design Study<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Let's see the impact on the jump of two variables: <\/span><\/div><ul  style = 'margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif; font-size: 14px; '><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span>The stiffness of the pole<\/span><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span>The initial angle of the pole for the take-off phase<\/span><\/li><\/ul><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>For that, I create two multisim variables and combine them using <\/span><span style=' font-family: monospace;'>simulink.multisim.Exhaustive<\/span><span>.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >mdl = <\/span><span style=\"color: #a709f5;\">\"poleVaultSim\"<\/span><span >;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >k_var = simulink.multisim.Variable(<\/span><span style=\"color: #a709f5;\">\"k\"<\/span><span >, linspace(0.1,10,5));<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >theta0_var = simulink.multisim.Variable(<\/span><span style=\"color: #a709f5;\">\"theta0\"<\/span><span >, linspace(10,50,5));<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >MyCombination = simulink.multisim.Exhaustive([k_var,  theta0_var]);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >d = simulink.multisim.DesignStudy(mdl,MyCombination);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >d.PostSimFcn =  @(simOut, simIn) myPostSim(simOut,simIn); <\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >out = parsim(d,<\/span><span style=\"color: #a709f5;\">'ShowProgress'<\/span><span >,<\/span><span style=\"color: #a709f5;\">'off'<\/span><span >,<\/span><span style=\"color: #a709f5;\">'UseFastRestart'<\/span><span >,<\/span><span style=\"color: #a709f5;\">'on'<\/span><span >);<\/span><\/span><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>I also create a post-sim function where I do two things:<\/span><\/div><ul  style = 'margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif; font-size: 14px; '><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span>I store the input variables in the SimulationOutput object<\/span><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><span>I process the logged data to compute the maximum height and distance of the jump<\/span><\/li><\/ul><div class = 'preformatted-matlab' style = 'margin: 10px 3px 10px 55px; padding: 10px 10px 10px 5px; '><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span style=\"color: #0e00ff;\">function <\/span><span >simOut = myPostSim(simOut,simIn)<\/span><\/span><\/div><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span style=\"color: #008013;\">% Transfer input variables to SimulationOutput object<\/span><\/span><\/div><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span style=\"color: #0e00ff;\">for <\/span><span >i = 1:length(simIn.Variables)<\/span><\/span><\/div><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span >&nbsp;&nbsp;&nbsp;&nbsp;simOut.(simIn.Variables(i).Name) = simIn.Variables(i).Value;<\/span><\/span><\/div><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span style=\"color: #0e00ff;\">end<\/span><\/span><\/div><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span style=\"color: #008013;\">% Compute key performance indicators<\/span><\/span><\/div><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span >simOut.maxHeight = max(simOut.logsout.get(<\/span><span style=\"color: #a709f5;\">'y'<\/span><span >).Values.Data);<\/span><\/span><\/div><div  style = 'border-left: 0px none rgb(33, 33, 33); border-right: 0px none rgb(33, 33, 33); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px; line-height: 15.6px; min-height: 16px; white-space: pre; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 12px; '><span style=\"white-space: pre\"><span >simOut.distance = abs(simOut.logsout.get(<\/span><span style=\"color: #a709f5;\">'x'<\/span><span >).Values.Data(end));<\/span><\/span><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Once the simulations complete, we can visualize results in multiple ways. Let's try a few things.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Let's begin by plotting all x-y timeseries:<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >figure;hold <\/span><span style=\"color: #a709f5;\">on<\/span><span >;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span style=\"color: #0e00ff;\">for <\/span><span >i = 1:length(out)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >&nbsp;&nbsp;&nbsp;&nbsp;plot(out(i).logsout.get(<\/span><span style=\"color: #a709f5;\">'x'<\/span><span >).Values.Data,out(i).logsout.get(<\/span><span style=\"color: #a709f5;\">'y'<\/span><span >).Values.Data)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >&nbsp;&nbsp;&nbsp;&nbsp;legendText{i} = [<\/span><span style=\"color: #a709f5;\">'k = ' <\/span><span >num2str(out(i).k) <\/span><span style=\"color: #a709f5;\">', theta0 = ' <\/span><span >num2str(out(i).theta0)];<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span style=\"color: #0e00ff;\">end<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >legend(legendText,<\/span><span style=\"color: #a709f5;\">'Location'<\/span><span >,<\/span><span style=\"color: #a709f5;\">'northeastoutside'<\/span><span >);<\/span><\/span><\/div><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(220, 220, 220) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper disableDefaultGestureHandling embeddedOutputsFigure\" uid=\"16C13F8A\" prevent-scroll=\"true\" data-testid=\"output_0\" tabindex=\"-1\" ><div class=\"figureElement eoOutputContent\" role=\"article\" aria-roledescription=\"Use Browse Mode to explore \" aria-description=\"figure output \"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_10.png\" style=\"width: 560px;\"><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer navigationFocusLayer doNotExport\" aria-hidden=\"false\" tabindex=\"-1\" role=\"application\" aria-label=\"figure output \"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Maybe a matrix of scatter plots would help visualize this data?<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >u = [[out.k]' [out.theta0]'];<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >y = [[out.maxHeight]' [out.distance]'];<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >figure;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >plotmatrix(u,y);<\/span><\/span><\/div><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(220, 220, 220) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper disableDefaultGestureHandling embeddedOutputsFigure\" uid=\"A274D19A\" prevent-scroll=\"true\" data-testid=\"output_1\" tabindex=\"-1\" ><div class=\"figureElement eoOutputContent\" role=\"article\" aria-roledescription=\"Use Browse Mode to explore \" aria-description=\"figure output \"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_11.png\" style=\"width: 560px;\"><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer navigationFocusLayer doNotExport\" aria-hidden=\"false\" tabindex=\"-1\" role=\"application\" aria-label=\"figure output \"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>or a 3d bar plot?<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 15px 10px 0; display: inline-block\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >height = reshape([out.maxHeight],5,5);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >figure<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >bar3(height);<\/span><\/span><\/div><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(220, 220, 220) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper disableDefaultGestureHandling embeddedOutputsFigure\" uid=\"A516D96A\" prevent-scroll=\"true\" data-testid=\"output_2\" tabindex=\"-1\" ><div class=\"figureElement eoOutputContent\" role=\"article\" aria-roledescription=\"Use Browse Mode to explore \" aria-description=\"figure output \"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_12.png\" style=\"width: 560px;\"><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\" aria-hidden=\"true\"><\/div><div class=\"outputLayer navigationFocusLayer doNotExport\" aria-hidden=\"false\" tabindex=\"-1\" role=\"application\" aria-label=\"figure output \"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>In the end, this seems pretty clear that the lower stiffness and initial angle result in the higher jump.<\/span><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Now it's your turn<\/span><\/h2><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Don't miss the actual pole vault competition at the Paris Olympic:<\/span><\/div><ul  style = 'margin: 10px 0px 20px; padding-left: 0px; font-family: Helvetica, Arial, sans-serif; font-size: 14px; '><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><a href = \"https:\/\/olympics.com\/en\/paris-2024\/schedule\/athletics\/men-s-pole-vault?day=undefined\"><span>Men's pole vault schedule<\/span><\/a><\/li><li  style = 'margin-left: 56px; line-height: 21px; min-height: 0px; text-align: left; white-space: pre-wrap; '><a href = \"https:\/\/olympics.com\/en\/paris-2024\/schedule\/athletics\/women-s-pole-vault?day=undefined\"><span>Women's pole vault schedule<\/span><\/a><\/li><\/ul><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>How would you simulate the pole vault competition? Let us know in the comments below.<\/span><\/div>\r\n<br>\r\n<\/div><script type=\"text\/javascript\">\r\n{ let css = '.eoOutputWrapper { width: calc(90vw - 10px) !important; }';\r\nlet head = document.head || document.getElementsByTagName('head')[0];\r\nlet style = document.createElement('style');\r\nhead.appendChild(style);\r\nstyle.type = 'text\/css';\r\nif (style.styleSheet) {\r\n    style.styleSheet.cssText = css;\r\n} else {\r\n    style.appendChild(document.createTextNode(css));\r\n}\r\n\r\n\r\n}<\/script>","protected":false},"excerpt":{"rendered":"<div class=\"overview-image\"><img src=\"https:\/\/blogs.mathworks.com\/simulink\/files\/poleVault.mlx-08-02-24_5.png\" class=\"img-responsive attachment-post-thumbnail size-post-thumbnail wp-post-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" \/><\/div><p>In 2016, we published this blog post simulating a pole vault jump. I decided to revisit this topic and demonstrate how I would simulate this using the latest features in Simulink.Pole Vault ModelHere... <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/simulink\/2024\/08\/02\/pole-vault-2024-olympics-update\/\">read more >><\/a><\/p>","protected":false},"author":41,"featured_media":16833,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[71,30,56],"tags":[479],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts\/16851"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/users\/41"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/comments?post=16851"}],"version-history":[{"count":1,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts\/16851\/revisions"}],"predecessor-version":[{"id":16854,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/posts\/16851\/revisions\/16854"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/media\/16833"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/media?parent=16851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/categories?post=16851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/simulink\/wp-json\/wp\/v2\/tags?post=16851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}