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!
