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Find the fundamental frequency for longitudinal vibration

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Reference no: EM132012725

Vibration Analysis Questions -

Q1. Determine the influence coefficients for the points (1), (2) and (3) of the uniform cantilever beam shown in Fig.

865_fig1.png

Q2. Establish the stiffness and flexibility matrix for the system shown in Fig.

625_fig2.png

Q3. Determine the modal matrix P and the weighted modal matrix P~ for the system shown in Fig. Show that P or P~ will diagonalize the stiffness matrix.

83_fig3.png

Q4. Three equal springs of stiffness k N/m are joined at one end, the other ends being arranged symmetrically at 120° from each other, as shown in Fig. Prove that the influence coefficients of the junction in a direction making an angle 0 with any spring are independent of 0 and equal to 1/1.5k.

19_fig4.png

Q5. Estimate the fundamental frequency of the lumped mass cantilever beam shown in Fig.

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Q6. Consider a vertical uniform bar shown in Fig. Use Rayleigh method to find the fundamental frequency for the longitudinal vibration.

1311_fig6.png

Reference no: EM132012725

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