Elastic waves in heterogeneous bars of varying cross-section |
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| Authors: | Paul Gordon SC Sanday |
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| Institution: | Materials Engineering Division, Frankford Arsenal, Philadelphia, Pennsylvania, USA;U.S. Naval Research Laboratories, Washington, D.C., USA |
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| Abstract: | The propagation of elastic waves in a heterogeneous bar of variable cross-sectional area is investigated via use of the method of characteristics andthe Laplace transform technique. The Young's modulus and density are assumed to be representable as either power law or exponential distributions in the axial coordinate. The transform method is used to establish an infinite number of multi-parameter solutions in closed form for either a stress, velocity or displacement type boundary condition. The numerical characteristic computations show excellent agreement when compared to the transform solutions, and are then used to obtain additional solutions not attainable by the transform method. Detailed results and conclusions for a bar of ogival cross-section are given for a wide range of inhomogeneity. |
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