How to create a Matlab object that simulates a spring-mass system without Simulink

Question

Mahmoud Elzouka 2022-4-10

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1693255-how-to-create-a-matlab-object-that-simulates-a-spring-mass-system-without-simulink

评论： Mahmoud Elzouka 2022-4-11

I am trying to model a dynamic system (e.g., a spring-mass system) withing a big project, that may be deployed on a machine that doesn't have Simulink.

I would like to create a spring-mass system object, which has a method that takes time as input and return the position, and that stores all the history of states, to be used for the numerical integration.

How can I do it, without SImulink?

Note: I am aware of ODE solvers (e.g., ode45), but my problem with these solvers is that they solve for the all time steps at once, which contrary to what I need. I need to solve for only one time step, as needed.

Thanks :)

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

Sam Chak 2022-4-11

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1693255-how-to-create-a-matlab-object-that-simulates-a-spring-mass-system-without-simulink#answer_940155

@Mahmoud Elzouka

If the spring-mass system is non-stiff, and you want to solve for only one step time, then the conventional Runge–Kutta 4th-order formula should be good enough for the job.

For example, given the dynamical system:

and the initial value

,

select a sufficiently small step size h, and compute the following

to obtain 1-step propagated solution: