Multi-degree of Freedom System Solver

Calculates the modal parameters and response of multi-degree of freedom linear system subjected to dynamic forces.

Calculates the response of multi-degree of freedom classically damped linear system subjected to dynamic forces (using Modal Superposition method [1]).

function Result=MDOF_simulation(M,C,K,f,fs)

input:

M:mass matrix (n*n)

C:damping matrix (n*n)

K:stiffness matrix (n*n)

f:external force matrix(n,N)

fs: sampling frequency

where n is the number of degrees of freedom, N is the length of data points of dynamic force

Output:

Result: is a structure consist of

Result.Displacement: Displacement (n*N)

Result.Velocity: Velocity (n*N)

Result.Acceleration: Acceleration (n*N)

Result.Parameters.Freq=Natural Frequency (n*1)

Result.Parameters.DampRatio=Damping Ratio (n*1)

Result.Parameters.ModeShape=Mode Shapes Matrix (n*n)

References:

[1] Chopra, Anil K. "Dynamics of Structures. Theory and Applications to." Earthquake Engineering (2017).