Analysis of structures on elastic foundation : incorporating the spectral method of boundary elements / Levon Gregory Petrosian.

Includes bibliographical references and index.

Introduction -- Boundary equations and boundary element methods: literature review, problem statement. The goals and objectives of the study -- The guiding philosophy of boundary element methods and boundary value problems -- Boundary element method (BEM) in one-dimensional problems -- Boundary element methods (BEM) in the multidimensional problems -- Spectral method of boundary elements (SMBE) -- Structures on elastic foundation -- Generalized model of elastic foundation -- The application of SMBE to the design structure on elastic foundation -- The special features of solution of dynamic problems by the method of boundary equations -- Interaction of structures with the ground under seismic impacts.

"This book is devoted to the static and dynamic analysis of structures on elastic foundation. Through comprehensive analysis, the book shows analytical and mechanical relationships among classic and modern methods of solving boundary value problems. The book provides a wide spectrum of applications of modern techniques and methods of calculation of static, and dynamic problems of engineering design. It pursues both methodological and practical purposes, and the accounting of all methods is accompanied by solutions of the specific problems, which are not merely illustrative in nature but may represent an independent interest in the study of various technical issues. Two special features of the book are extensive use of the generalized functions for describing the impacts on structures and substantiations of the methods of the apparatus of the generalized functions. The book illustrates modern methods for solving boundary-value problems of structural mechanics and soil mechanics based on the application of boundary equations. The book presents the philosophy of boundary equations and boundary element methods. A number of examples of solving different problems of static and dynamic calculation of structures on an elastic foundation are given according to the methods presented in the book. Introduces a general approach to the method of integral transforms based on the spectral theory of the linear differential operators. The Spectral Method of Boundary Element (SMBE) is developed on the basis of using integral transforms with an orthogonal kernel in the extended domain. Presents a new, versatile foundation model with a number of advantages over the ground-based models currently used in practical calculations. Provides new transforms which will aid in solving various problems relevant to bars, beams, plates, and shells in particular for the structures on elastic foundation. Examines the methods of solving boundary-value problems typical for structural mechanics and related fields"-- Provided by publisher.