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Studies on veriational and eigenfunction expansion methods for certain basis problems in elasticity

Certain studies of the variational and the biharmonic eigenfunction-expansion methods for some basic problems in two-dimensional elasticity and plate-bending are attempted in this thesis. The scope and the purpose of the work carried out are presented in Chapter 1. In Chapter 2, a brief review of the variational and the biharmonic eigenfunction-expansion methods as pertinent to the problems discussed in the remaining chapters, is given. In Chapter 3, the application of modified Fourier series in the variational approach to the bending of clamped rectangular plates undergoing small or large deflections under uniform normal pressure is shown. Numerical results are compared with the published values for the problem. In Chapter 4, the bending of clamped semi-infinite rectang1llar plates under uniform normal pressure is considered. A variational solution using modified Fourier series is given for the case when the short edge is simply supported or clamped. Numerical results for the bending moment along the centre line are presented. More Info

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