Shells of Revolution

Shells of Revolution - Zbigniew E. Mazurkiewicz

This book is a first monographic treatise comprising one hundred years of development of the linear theory of elastic shells of revolution. The investigation of their mechanical properties is based upon analytical methods. The content of the book is carefully arranged. The original authors' contribution to the theory as well as new results are put forward, the hitherto existing theories and results being exhaustively encompassed. In particular, the book provides the fundamentals of the theory of perforated shells, presents the derivation of the Meissner-type equations in a generalized form valid for a large class of shells and extends the application of the method of undetermined coefficients in the static and dynamic problems. The monograph provides a variety of algorithms for solving static or dynamic problems of shells of various shapes and boundary conditions, subjected to various types of loading. Efficiency of these algorithms follows from the given examples. All algorithms are based on analytical methods, both known and new ones, in particular those based on the special functions and the functions defined by power series whose coefficients are determined by appropriate recurrence formulae. Not only is the efficiency of the applied analytical methods competitive in comparison with contemporarily popular numerical methods, but they will also provide the reader with benchmark examples for testing new computational algorithms and programmes. Each of the three parts of the book can be studied separately. The bibliography consists of 152 items and it also includes the references which have been directly used in the course of writing this monograph.