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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