2004•Unpublished venueRequires access

Exact and Series Solutions of Governing Differential Equations

Dr.-Ing. Rudolph Szilard P.E.

Abstract

This chapter contains sections titled: Rigorous Solution of Plate Equation Solutions by Double Trigonometric Series (Navier's Approach) Solutions by Single Trigonometric Series (Lévy's Method) Further Examples of Series Solutions Extensions of Navier's and Léevy's Methods Method of Images Plate Strips Rigorous Solution of Circular Plates Subjected to Rotationally Symmetric Loading Solutions of Membrane Problems Series Solutions of Moderately Thick Plates Summary Problems

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Available abstract

Key concepts: Trigonometric series, Series (stratigraphy), Mathematics, Mathematical analysis, STRIPS, Trigonometric functions, Exact solutions in general relativity, Trigonometry