Solving a system of nonlinear second order differential equations.

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Sina 2016-2-2

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https://ww2.mathworks.cn/matlabcentral/answers/266301-solving-a-system-of-nonlinear-second-order-differential-equations

评论： Torsten 2016-2-5

I have developed a set of n equations, n variables for my dynamic system. The derivatives are second and first order in terms of theta (angle) of different components of the system (basically a set of n lagranges equations). I need to solve the system using Matlab or Simulink.

l_i and m_i are constants and F_x and F_z and F_y are known. The only variables are θ_i. I need to solve system (3.40) basically for all θ's (time transient response)

To simplify, I have the following equation which I need to solve for θ's

F(t,θi, θ'i, θ"i)=G(θi) (i=1,...,n)

and all n equations are coupled.

1. Can I do this so that I can get the time transient results (for all \theta)? 2. What is the best way to approach this? Hopefully to be able to animate this!? Thanks a million.