Solving Vibration equation of motion?

sam plant さんによって質問されました 2019 年 8 月 24 日

最新アクティビティ Marco Feder さんによってコメントされました 2019 年 9 月 16 日

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Hello,

I'm trying to use ODE45 to solve the vibration equation of motion Mx''+Cx' + Kx = Fsin(w*t)?

If there is an alternative way of doing it then that would be more than appreciated also

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Marco Feder on 16 Sep 2019

If you want to give it to ODE45 you need to write your equation as a first order system. Assuming M to be an invertible you can easily solve the problem.

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Answer by Prabhan Purwar on 27 Aug 2019

Hey,

Ordinary differential equations can be solved in following ways:

Using MATLAB

As addressed by you, using ODE45

https://www.mathworks.com/videos/solving-odes-in-matlab-8-systems-of-equations-117652.html (Differential equation formation and solution video)
https://www.mathworks.com/help/symbolic/solve-a-single-differential-equation.html#bruif2h (Documentation)
https://www.mathworks.com/videos/solving-odes-in-matlab-6-ode45-117537.html (Solving using ode45)

Using Simulink

https://www.mathworks.com/videos/simulink-a-flexible-modelling-environment-to-simulate-real-world-systems-81981.html (Modelling of differential equation video)

I would suggest you making use of Simulink for easy and hustle free results.

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sam plant (view profile)