An Euler Bernoulli Beam with Dynamic Contact : Penalty Approximation and Existence
نویسنده
چکیده
Abstract. In this paper, we set up the dynamic frictionless Euler Bernoulli equation with Signorini contact conditions along the length of a thin beam and consider how to solve this equation. The existence of solutions is shown, based on a penalty method. Using energy conservation in the penalty method, we bound the integral of contact forces over time and space. Hölder continuity of the fundamental solution plays an important role in the convergence theory.
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