Non-linear dynamic of plate using Moving Element Method (MEM)

Hi every one,

I am writing Matlab code for Non-linear dynamic of plate using Moving Element Method (MEM).

Feel free to discuss

Answer 1

[Anushka]

Hi @Nam Hai,

Modelling non-linear plate dynamics using the Moving Element Method (MEM) in MATLAB involves discretizing the plate into moving elements and solving the non-linear PDEs, typically using ‘von Kármán theory’ and time integration schemes like ‘Newmark-beta’. Nonlinearities can be handled via ‘Newton-Raphson iteration’.

While MATLAB does not have built-in MEM functions, you can implement MEM using:

1. PDE Toolbox (for general FEM)

You can refer to the following documentation for a better understanding: https://www.mathworks.com/help/pde/ug/solving-partial-differential-equations.html

2. Symbolic Math Toolbox (for deriving equations)

The below documentation can be referred for the same: https://www.mathworks.com/help/symbolic/index.html

3. ‘ode15s’ or ‘ode45s’ (for time integration)

Here is a documentation you can refer to for a better understanding: https://www.mathworks.com/help/matlab/ordinary-differential-equations.html

Hope this helps!