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Shooting the buckled plate
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| Organization: | University of Colorado, Boulder, CO |
| Department: | Mathematics Department |
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| Innovation in Mathematics: Proceedings of the Second International Mathematica Symposium |
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This paper presents a general shooting method for two-point boundary value problems for ordinary differential equations. The method is applied using Mathematica to the problem of a buckled plate resting on an elastic foundation. This problem has multiple solutions corresponding to the various buckled states which bifurcate from the unbuckled state. An algebraic problem with a cubic nonlinearity, analogous to the equations for the buckled plate, is used with Mathematica to explain the bifurcations in the buckling problem.
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