Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering applications. It includes computer processes for finite difference, finite element, boundary element, and boundary collocation methods as well as other variational and numerical methods. It also contains end-of-chapter examples and problem/solution sets, a catalog of solutions for cylindrical and spherical shells, and tables of the most commonly used plates and shells.
Part 1 Thin plates: introduction; the fundamentals of the small-deflection plate bending theory; rectangular plates; circular plates; bending of plates of various shapes; plate bending by approximate and numerical methods; advanced topics; buckling of plates; vibration of plates. Part 2 Thin shells: introduction to the general linear shell theory; geometry of the middle surface; the general linear theory of thin shells; the membrane theory of shells; applications of the membrane theory to the analysis of shell structures; moment theory of circular cylindrical shells; the moment theory of shells of revolution; approximate theories of shell analysis and their application; advanced topics; buckling of shells; vibration of shells. Appendices: some reference data; Fourier series expansion; verification of relations of the theory of surfaces; derivation of the strain-displacement relations; verification of equilibrium equations.