{"id":3805,"date":"2014-06-10T10:29:03","date_gmt":"2014-06-10T15:29:03","guid":{"rendered":"https:\/\/blogs.mathworks.com\/seth\/?p=3805"},"modified":"2014-06-16T12:37:28","modified_gmt":"2014-06-16T17:37:28","slug":"banking-on-the-hyperloop","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/simulink\/2014\/06\/10\/banking-on-the-hyperloop\/","title":{"rendered":"Banking on the Hyperloop"},"content":{"rendered":"\r\n

This week, Matt Brauer<\/a> is back to improve his three-dimensional analysis<\/a> of the hyperloop transportation concept<\/a> to include banking of the vehicle within the tube.<\/p>\r\n\r\n\r\n

No, this hasn\u2019t become a financial blog<\/strong><\/p>\r\n\r\n

As a quick disclaimer; this post does not cover the financial challenges of introducing a new form of transportation. Instead, we\u2019re focusing on modeling the dynamic effects of a banked turn<\/a>. As commenters on previous posts have pointed out, the g-forces felt by passengers of the Hyperloop would be reduced by the effects of the vehicle banking within the tube.<\/p>\r\n\r\n

I\u2019d like to share how I modeled banking and what effect it had on previously shared results<\/a>.<\/p>\r\n\r\n

Planar Dynamics<\/strong><\/p>\r\n\r\n

I started with the assumption that there is always sufficient force from the air suspension to keep the craft floating above the tube floor. I split the air suspension forces into an uplift force directed toward the center of the tube and a stabilization force influencing the craft\u2019s rotation.<\/p>\r\n\r\n

\"Hyperloop<\/p>\r\n\r\n

To this system, I can add centripetal forces calculated from the curved path of the tube to obtain a good idea of the accelerations experienced by the passengers.<\/p>\r\n\r\n

SimMechanics Implementation<\/strong><\/p>\r\n\r\n

One simple way to model this system is using a Revolute Joint<\/a> in SimMechanics<\/a>.<\/p>\r\n\r\n

In the figure below, you can see a schematic representation of how the Revolute Joint is used. this includes:<\/p>\r\n\r\n