ME 563 HOMEWORK # 9 Fall 2008 PROBLEM 1:(50%) Given the following set of equations for a vibrating system with translational and rotational degrees of freedom, ⎭⎬⎫⎩⎨⎧=⎭⎬⎫⎩⎨⎧⎥⎦⎤⎢⎣⎡−−+⎭⎬⎫⎩⎨⎧⎥⎦⎤⎢⎣⎡−−+⎭⎬⎫⎩⎨⎧⎥⎦⎤⎢⎣⎡)()(22242.02.02.04.02001ttfyyyτθθθ&&&&&&find the analytical expressions for the modal frequency response functions of the system. What combination of forcing functions should be chosen to only excite mode #1? What about for mode #2? PROBLEM 2:(50%) Assume you are designing a vibration isolation system for a machine tool.
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