Determine the natural circular frequencies, Mechanical Engineering

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The two-storey frame shown in Figure Q4 is such that the self-mass may be considered to be located at the beam levels and the beams may be presumed to be rigid. The self-mass (m) at each beam level and column stifnesses (EI)are indicated on the figure, where E is the modulus of elasticity and I is the second moment of area. Determine the natural circular frequencies and natural modes of vibrations of the frame and provide sketches of these.

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