Published: 31 March 2007

Calculation of vibrations of an incompressible elastic structure

J. Ragulskiene1
A. Palevicius2
K. Pilkauskas3
L. Ragulskis4
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Abstract

Rubber and photo-elastic materials at elevated temperatures exhibit incompressible behavior. The vibrations of a structure by taking the incompressibility constraint into account by the penalty method are analyzed. Reduced order numerical integration of the penalty term is performed. Graphical representation of volumetric strains at the points of reduced integration is proposed for validation of the calculated eigenmodes.

About this article

Received
20 January 2007
Accepted
12 March 2007
Published
31 March 2007
Keywords
rubber
incompressibility
penalty method
reduced integration
finite elements