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Mechanical Vibration

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The machine shown in the figure is rigidly anchored on a rigid concrete block and the mass of both is 3000 kg. The block has height h = 1 m and square horizontal section with a = 1.2 m and is supported at the corners by 12 springs of stiffness k = 2000 N/m.

Solve only the second part: (see attachment for diagram)
ii) Find the natural frequencies and mode shapes of the system using both hand calculations and Matlab.

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This solution contains step-by-step calculations to determine the natural frequencies and mode shapes of the system using hand calculations and Matlab. All workings are shown with brief explanations.

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