Passing through the elastic wave barrier by a load moving uniformly along a smoothly inhomogeneous elastic system

A.R.M. Wolfert; A. V. Metrikine; H. A. Dieterman

doi:10.1002/(sici)1521-4001(199903)79:3<179::aid-zamm179>3.0.co;2-b

Passing through the elastic wave barrier by a load moving uniformly along a smoothly inhomogeneous elastic system

A.R.M. Wolfert^*, A. V. Metrikine, H. A. Dieterman

^*Corresponding author for this work

Materials and Environment

Research output: Contribution to journal › Article › Scientific › peer-review

2 Citations (Scopus)

Abstract

The passing through the elastic wave barrier velocity is investigated for the case of a uniform load motion along a string on an elastic foundation. The string and foundation parameters vary 'smoothly' in such a manner that a transition from sub- into supercritical load motion occurs as the load passes a region of inhomogeneity. The transient solution for the string vibrations is derived and studied as a function of a characteristic length of the region of inhomogeneity. It turns out that during the passing the string displacements remain limited. It is shown that the smaller the characteristic length the smaller is the maximum amplitude of the string vibrations.

Original language	English
Pages (from-to)	179-183
Number of pages	5
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	79
Issue number	3
DOIs	https://doi.org/10.1002/(sici)1521-4001(199903)79:3<179::aid-zamm179>3.0.co;2-b
Publication status	Published - 1 Jan 1999

Keywords

Elastic wave radiation
Moving load dynamics

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10.1002/(sici)1521-4001(199903)79:3<179::aid-zamm179>3.0.co;2-b

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abstract = "The passing through the elastic wave barrier velocity is investigated for the case of a uniform load motion along a string on an elastic foundation. The string and foundation parameters vary 'smoothly' in such a manner that a transition from sub- into supercritical load motion occurs as the load passes a region of inhomogeneity. The transient solution for the string vibrations is derived and studied as a function of a characteristic length of the region of inhomogeneity. It turns out that during the passing the string displacements remain limited. It is shown that the smaller the characteristic length the smaller is the maximum amplitude of the string vibrations.",

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N2 - The passing through the elastic wave barrier velocity is investigated for the case of a uniform load motion along a string on an elastic foundation. The string and foundation parameters vary 'smoothly' in such a manner that a transition from sub- into supercritical load motion occurs as the load passes a region of inhomogeneity. The transient solution for the string vibrations is derived and studied as a function of a characteristic length of the region of inhomogeneity. It turns out that during the passing the string displacements remain limited. It is shown that the smaller the characteristic length the smaller is the maximum amplitude of the string vibrations.

AB - The passing through the elastic wave barrier velocity is investigated for the case of a uniform load motion along a string on an elastic foundation. The string and foundation parameters vary 'smoothly' in such a manner that a transition from sub- into supercritical load motion occurs as the load passes a region of inhomogeneity. The transient solution for the string vibrations is derived and studied as a function of a characteristic length of the region of inhomogeneity. It turns out that during the passing the string displacements remain limited. It is shown that the smaller the characteristic length the smaller is the maximum amplitude of the string vibrations.

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Passing through the elastic wave barrier by a load moving uniformly along a smoothly inhomogeneous elastic system

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