For the one-dimensional bar shown in Figure P16-3, determine the natural frequencies of vibration, v's, using two

Question:

For the one-dimensional bar shown in Figure P16-3, determine the natural frequencies of vibration, v's, using two elements of equal length. Use the consistent-mass approach. Let the bar have modulus of elasticity E, mass density (, and cross-sectional area A. Compare your answers to those obtained using a lumped-mass matrix in Example 16.3.
Figure P16-3