I want to solve multi degree freedom system dynamic equation of motion in which the stiffness matrix is nonlinear .My system is 12 x 12 and for every displacement value , the stiffness matrix is changing .
Guys please help me out how to solve by using MATLAB.
Thanks
Ram Kumar, this tool is very helpful incase you want to use it: https://www.mathworks.com/matlabcentral/fileexchange/14854-mass-dampening-stiffness-matrix-eom
I think you can do it with the procedure given in chapter 8 of dynamisk analyse av konstruksjoner. A newton iteration will be used as you are facing a nolinear problem, those are given indetailed in that book, although I do not understand the tolerance criterion used in the book well.
I tried to use it and got a result that seems to be well as compared with ABAQUS (but only in fixed situations). To update the stiffness matrix, you can have a read of the rotation matrix in the form of Euler angle (only small rotations) or try other rotation matrices. I used a kind of it given in Matlab as rot2mat.
I am also interested in nonlinear dynamic, if you hope, maybe we can share together.
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