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Find the undamped natural frequencies of longitudinal vibration of the stepped bar with the following data using consistent- and lumped-mass matrices: l = l

 

Find the undamped natural frequencies of longitudinal vibration of the stepped bar with the following data using consistent- and lumped-mass matrices: l = l = 13 = 0.2 m, A = 2A = 4A3 = 0.0004 m, E = 210 GPa, and p = 7800 kg/m. A A2 x, X A3

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