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Shooting the buckled plate

Jay H. Wolkowisky
Organization: University of Colorado, Boulder, CO
Department: Mathematics Department
Journal / Anthology

Innovation in Mathematics: Proceedings of the Second International Mathematica Symposium
Year: 1997
Page range: 507-516

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.

*Applied Mathematics > Numerical Methods
*Mathematics > Calculus and Analysis > Differential Equations
*Science > Physics > Mechanics