Question: Given the mass, damping, and stiffness matrices for the model shown in Fig. P4.9 determined from problem 9, can proportional damping exist for this system?

Given the mass, damping, and stiffness matrices for the model shown in Fig. P4.9 determined from problem 9, can proportional damping exist for this system? Justify your answer.

Problem 9.

Determine the mass, damping, and stiffness matrices in local coordinates for the model shown in Fig. P4.9.

3c 3m 2c x1 m X2 k 2m X3 2k C
Fig. P4.9 Three degree of freedom spring-mass-damper model

3c 3m 2c x1 m X2 k 2m X3 2k C

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