linearizing a 2nd order ODE in matlab

2021 5 29
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更新时间：2021 5 29
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I have this equation that needs to linearization
0.0099157 theta double dot + 0.0000781 beta double dot =0.54684 sin (theta)
is there a build in finction on matlab that can be pluged in the values or is there another way to solve it ?
Thank you!

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David Hill
David Hill 2021-5-29
Is beta double dot constant and are you solving for theta? Boundary conditions?
Rodwan Baghdadi
Rodwan Baghdadi 2021-5-29
no beta is not constant but i forgot to add another equation which is
0.0000781 theta double dot + 0.0000781 beta double dot = tourque
i attached the full paper if any further information is needed

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Hi,
Linearization of the given ODE can be done via Jacobian matrices that need to be derived.
Some good appropriate discussions are here:
https://www.mathworks.com/matlabcentral/answers/478845-linearization-of-nonlinear-modes-from-ode-equation
Good luck.

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