Wave Propagation in an Elastic Nonhomogeneous Bar of Finite Length

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Abstract
The case of an elastic disturbance propagating in a nonhomogeneous bar of finite length is solved by using the principle of virtual work. The nonhomogeneity is prescribed as a continuously varying modulus of elasticity with position in the bar. The density is assumed constant. Numerical results are presented for a finite-length pressure pulse in a free-free bar giving a comparison between the homogeneous and nonhomogeneous solutions.

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