Friday, December 12, 2003
Getting the Inertia Tensor Right!
Jay Estes, a friend of mine has done a great job making the explanation of how to use the inertia tensor in your equations of motion. The key is to remember that inertias are often calculated and reported in the structural frame. However, you often compute dynamics in a body frame. The X38 example below show the typical situation that needs to be accounted for in the setting up of a dynamic simulation of a airplane or spacecraft. Here is an excerpt from his discussion.
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Jay Estes, a friend of mine has done a great job making the explanation of how to use the inertia tensor in your equations of motion. The key is to remember that inertias are often calculated and reported in the structural frame. However, you often compute dynamics in a body frame. The X38 example below show the typical situation that needs to be accounted for in the setting up of a dynamic simulation of a airplane or spacecraft. Here is an excerpt from his discussion.
Maybe a Better Vector Formulation of EOM
As is often the case, using matrix math simplifies the notation for engineering problems. Here I have solved from the angular accelerations from the moment equation in closed form. This equation can now be implemented directly in a program like Matlab and solved using ode45. ode45 is the ordinary differential equation routine provided in Matlab.
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As is often the case, using matrix math simplifies the notation for engineering problems. Here I have solved from the angular accelerations from the moment equation in closed form. This equation can now be implemented directly in a program like Matlab and solved using ode45. ode45 is the ordinary differential equation routine provided in Matlab.
