Solving Vibration equation of motion?

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

[Marco Feder]

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.

Answer 1

[Prabhan Purwar]

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.