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Erschienen in:
1991 | OriginalPaper | Buchkapitel
Vibrations of Euler-Bernoulli Beams with Pointwise Obstacles
verfasst von : H. Carlsson, R. Glowinski
Erschienen in: Advances in Kinetic Theory and Continuum Mechanics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this paper, we discuss the numerical simulation of the vibrations of a beam in the presence of pointwise obstacles. We suppose that these vibrations are modeled by the Euler-Bernoulli equation for linear beams and that one extremity of the beam is clamped while the other may be rigidly attached to a rigid body. The numerical methodology is based on the following techniques: Hermite cubic finite elements for the space discretization, an energy preserving finite difference time discretization scheme, and a penalty treatment of the inequalities associated to the obstacles. The resulting methodology is robust, seems to be accurate and is easy to implement. The results of numerical experiments show the possibilities of the methods discussed here.