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Unformatted text preview: Plot and label the two individual modal responses in addition to the total responses. What should the initial conditions be in order not to excite the body pitch mode of vibration? What about the body bounce mode of vibration? 2 PROBLEM 3: (25%) How are the eigenvalues and eigenvectors of the system, with proportional damping related to its modal frequencies and modal vectors? You must formulate the eigen-problem for this set of equations in the state-space form. Assume that M =10 kg, C ij =0.1 M ij + 0.1 K ij , and K =10 N/m. PROBLEM 4: (25%) You are given the lumped parameter linear differential equations of motion for a two degree-of-freedom model of a mechanical system: with M =10 kg and K =10 N/m. Determine the modal frequencies, undamped natural frequencies of oscillation, and the modal vectors. Draw schematics of the two modal vectors. How are these modal vectors different when C =0 N-s/m? Draw the modes in this case for comparison....
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- Fall '09
- Mode shape, modal frequencies, modal vectors