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- W156997908 abstract "In the present paper we study freely propagating inertial, i.e., unforced, waves, in an elastic beam supported on a flat, rigid, inelastic surface, subject to a gravitational force and a compressive longitudinal load. We consider both the case wherein the potential energy of the system is quadratic, so that the equations of motion are linear in regions where the support constraint is inactive, and some quasilinear extensions of that model. In the linear case we obtain closed form solutions and we provide a partial stability analysis. The nonlinear models arise from a quartic extension of the potential energy functional and are treated analytically and numerically; existence is shown in some cases by means of a perturbation argument." @default.
- W156997908 created "2016-06-24" @default.
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- W156997908 date "2001-01-01" @default.
- W156997908 modified "2023-10-16" @default.
- W156997908 title "Freely Propagating Waves in a Supported Nonlinear Elastic Beam" @default.
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- W156997908 doi "https://doi.org/10.1007/978-1-4613-0275-9_16" @default.
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