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Titlebook: Spectral Analysis of Nonlinear Elastic Shapes; James F. Doyle Book 2020 Springer Nature Switzerland AG 2020 Shapes and Stiffness of Nonlin

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Shapes with Coupled Deformations,rbitrary loading has multiple deformation types simultaneously, but they are not coupled in the sense meant here because each straight segment is essentially like the straight beam/rod of Chap. .. By analogy, consider the difference between a beam resting on a continuous elastic foundation and one r
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Nonlinear Elastic Shapes,-plane deflections in thin-walled flexible structures as discussed in Chap. .. The situations of primary concern to us in structural statics (especially when analyzing light-weight structures) are when the deflections and rotations are large but the strains are small (that is, the strains are still
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modern, computationally based approach using finite elementThis book concerns the elastic stability of thin-walled structures — one of the most challenging problems facing structural engineers because of its high degree of nonlinearity — and introduces the innovative approach of using spectral anal
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Studies of Postbuckled Shapes,own a priori from a separate linear analysis. Here, we must determine the stress as an integral part of the nonlinear transition to the postbuckled state. This complicates the analyses considerably and we try to emphasize the distinction between this analysis and the buckling analysis.
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