Jigarkumar Patel, Janos Turi
Abstract:
In this article, we describe a computational framework to study the
influence of a normal crack on the dynamics of a cantilever beam;
i.e., changes in its natural frequency, amplitude and period of vibration, etc.
Due to the opening and closing of the crack during beam vibrations,
unilateral contact boundary conditions are assumed at the crack location.
In the numerical implementation the contact conditions lead to the
consideration of a linear complementarity problem. An effective solution
strategy for this problem using a modification of the simplex method is
presented. Numerical experiments are included.
Published October 31, 2013.
Math Subject Classifications: 34N05, 65P99, 49M99, 90-08, 90C05, 37M05, 35L87,
93C20, 93C55.
Key Words: Vibrations of cracked beams; elastic structures with defects;
linear complementarity problem with FEM.
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Jigarkumar Patel Department of Mathematical Sciences University of Texas at Dallas Richardson, TX 75080, USA email: jsp061000@utdallas.edu | |
Janos Turi Department of Mathematical Sciences University of Texas at Dallas Richardson, TX 75080, USA email: turi@utdallas.edu |
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