- #1

Engineer47

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- Homework Statement
- How can I solve for the frequency response of a damped system when I have the full matrices for M, C, and K when a car suspension hits a pot-hole of a certain height?

- Relevant Equations
- The equation I have now to work with it M(U(double dot)) which is a 4x4 matrix, times a 4x1 matrix, -[K]*[U] -[C][U(dot)] where M is the mass matrix, k is the spring matrix, and c is the damper matrix, all of the same dimensions as the M and U(double dot) matrix above. I am trying to solve using eigenvalues or vectors I believe with modal superposition on Matlab!

The quarter car system is represented by the above picture and I currently have all of the equations of motion and constants for each spring, mass, damper, distance, and moment of inertia. How can I find the frequency response with this information and knowing both tires hit a pothole of height h at the same time? Thanks!