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


For the one-dimensional bar shown in Figure P16–3, determine the unless frequencies of wave, o’s, using two elements of resembling extension. Use the consistentmass admission. Let the bar feel modulus of elasticity E, mass density r, and crosssectional area A. Compare your answers to those obtained using a lumped-mass matrix in Example 16.3.