Mode Superposition Method
We know that in Dynamic Analysis , to solve the equations of the form:
[M]{D2 X} +[C]{D1X}+[K]{X} = {R} ---------------- EQ.1
Where [M], [C],[K] are square matrices of mass, damping and stiffness matrices respectively.
D is derivative wrt time, {X}, {R} are the column matrices of displacement, external load respectevily.
We
use either direct step by step integration method or mode superposition
method. Both of them have advantages one over the other. Say, I am