Structural Dynamics Theory and Applications

The dynamic analysis of complex structures has experienced impressive progress since the 1970s. Among the reasons for this trend are the advent of digital computers and the development of sophisticated numerical analysis tools, particularly the finite element method. As technologies in these areas continue to advance, practical dynamic analyses, both linear and nonlinear, of extremely complicated systems are becoming more commonplace. Therefore, it is imperative that engineers familiarize themselves with these modern numerical solution techniques and their implementation on digital computers.The motivation for this book is to provide engineers with an understanding of the dynamic response of structures and of the common analysis techniques employed to evaluate these responses. Although the book emphasizes numerical solution techniques for a range of applications in structural dynamics, a comprehensive treatment of the classical analytical methods is also included. Among the special topics addressed in the book are the response of structures to earthquake excitation, the analysis of blast loading, wave forces on structures, wave propagation in elastic media, and nonlinear dynamic response. Moreover, the solution techniques demonstrated throughout the text are versatile and not limited to these topics, and are appropriate for many other applications in civil, mechanical, and aerospace engineering.The book contains material for several courses on structural dynamics. The material includes a wide range of subjects, from very elementary to advanced, arranged in increasing order of difficulty. To systematize presentation of the material, the book is organized into five parts: I. Single-Degree-of-Freedom (SDOF) Systems; II. Multi-Degree-of-Freedom (MDOF) Systems; III. Continuous Systems; IV. Nonlinear Dynamic Response; and V. Practical Applications. The material in Part I is suitable for an elementary introductory course in structural dynamics at the junior or senior level. A more comprehensive course in introductory structural dynamics, taught to advanced seniors and first-year graduate students, can be offered from the material in Parts I and II. An advanced graduate level course in structural dynamics can include the material in Parts III and IV, and several selected topics from Part V.Throughout the book, detailed derivations and implementation of numerical solution techniques are presented. Indeed, many of the end-of-chapter homework problems require a PC computer solution. Depending on a student's level of sophistication, they may write their own computerroutines or use commercially available software packages such as Matlab, MATHCAD, and MAPLE to solve the problems. As a convenience, a suite of computer programs written in FORTRAN for a PC that may be employed for the problem solutions are available on the authors' website at http://www.Structural-Dynamics.com .This book has been written to serve not only as a textbook for college and university students, but also as a reference book for practicing engineers. The analytical formulations and numerical solution techniques presented throughout the book underlie most computer programs used by engineers in analyzing and designing structures subject to dynamic loadings.The contents of this book are the result of teaching courses in structural dynamics and wave mechanics at Auburn University, Oregon State University and the University of Florida. The content was strongly influenced by our research experience. Organizations that have supported our research include the Air Force Office of Scientific Research, U.S. Army Corps of Engineers Waterways Experiment Station, Wright Laboratory Armament Directorate, Wright Laboratory Air Base Survivability Section, Office of Naval Research, SeaGrant, the Federal Highway Administration, and the Alabama Departmen