Problem

For the one-dimensional bar shown in Figure P16–3, determine the natural frequencies of...

For the one-dimensional bar shown in Figure P16–3, determine the natural frequencies of vibration, ωs, using two elements of equal length. Use the consistentmass approach. Let the bar have modulus of elasticity E, mass density ρ, and crosssectional area A. Compare your answers to those obtained using a lumped-mass matrix in Example 16.3.

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Solutions For Problems in Chapter 16