Elastic waves in heterogeneous bars of varying cross-section

✍ Scribed by Paul Gordon; S.C. Sanday

• Publisher: Elsevier Science
• Year: 1977
• Tongue: English
• Weight: 864 KB
• Volume: 303
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(77)90041-2

✦ Synopsis

The propagation of elastic waves in a heterogeneous bar of variable crosssectional area is investigated via use of the method of characteristics and the 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 compurations 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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