Reg: Newmark-beta Method for Nonlinear Multi DOF Systems

I want to solve one multi degree freedom system in which the stiffness matrix is nonlinear .My system is 12 x 12 in which for every displacement value , the stiffness matrix is changing .

It will be great if i can support. If you guys have any documents please share with me.

Thanks and Regards

Ram

Answer 1

[Umang Pandey]

Hi Ram,

You can refer to the following File Exchange submission to have a look at the implementation of Newmark-Beta method for Nonlinear Single DOF Systems to get started :

https://www.mathworks.com/matlabcentral/fileexchange/71007-newmark-beta-method-for-nonlinear-single-dof-systems

Additionally, the code snippet provided in the answer of the following MATLAB answer might nudge you in the correct direction for implementing it for multi DOF systems:

https://www.mathworks.com/matlabcentral/answers/2078226-newmark-beta-in-dynamic-analysis-for-solving-nonlinear-stiffness-matrix-problem

Hope this helps!

Best,

Umang