On the continuation for variational inequalities depending on an eigenvalue parameter |
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Authors: | Erich Miersemann Hans D Mittelmann W Trnig |
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Institution: | Erich Miersemann,Hans D. Mittelmann,W. Törnig |
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Abstract: | In this paper we generalize recent theoretical results on the local continuation of parameter-dependent non-linear variational inequalities. The variational inequalities are rather general and describe, for example, the buckling of beams, plates or shells subject to obstacles. Under a technical hypothesis that is satisfied by the simply supported beam, we obtain the existence of a continuation of both the solution and the eigenvalue with respect to a local parameter. A numerical continuation method is presented that easily overcomes turning points. Numerical results are presented for the non-linear beam. |
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