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Title of Journal: Acta Mechanica

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Abbravation: Acta Mechanica

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Springer-Verlag

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DOI

10.1002/oms.1210271114

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1619-6937

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Nonlinear equations for a thin beam

Authors: A Pielorz
Publish Date: 2003/12/12
Volume: 167, Issue: 1-2, Pages: 1-12
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Abstract

Finite oscillations of a thin beam are analyzed taking into account large deflections and rotations with small strains It is shown that depending on the assumptions problems for an elastic and viscoelastic beam lead to solving hyperbolic or parabolic nonlinear partial differential equations As an example a cantilever beam is considered The solutions for nonlinear vibrations are obtained by means of the Galerkin method and numerical results are presented graphically for four material models

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