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Non-linear Vibration Of An Extensible Elastic Beam

✍ Scribed by L. Cveticanin; T. Atanackovic

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
346 KB
Volume
177
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper is concerned with the large amplitude transverse, in-plane vibration of a hinged, initially prestressed, extensible elastic beam. The non-linear partial differential equations that take into account transverse and axial inertial forces, as well as the rotary inertial term, are derived. In deriving the equations the constitutive equations for an extensible elastic beam proposed by PflΓΌger are used. By modal expansion and spatial averaging, the equations of motion are reduced to a system of ordinary differential equations. The solution of this system is studied both analytically and numerically. The general response and the frequency-amplitude relations are presented, and the relations to the static buckling problem are analyzed.

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