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Zusatztext "The book is arranged in a way from simple to complex, enabling an easy walk into the whole subject. The exact solutions are illustrated not only by the analytical expressions, but also by numerical results in table or figure form. Thus, they can be directly used as benchmarks for comparison with numerical or approximate analytical solutions, or they can be simply taken over in evaluating the dynamic behavior of a practical structure. … The materials presented are very solid. This book presents a collection of exact solutions for vibration of strings, beams (bars), and plates, which are very common both in engineering and natural science. Complicating effects can be involved, however, including non-uniform geometry, non-homogeneous material property, internal support, elastic foundation, etc. The mathematical techniques used to obtain the solutions are very attractive and mathematically strict, and will provide a base for the study of more involved problems. The book should be very useful for researchers, engineers, and students in various engineering areas such as aerospace, civil engineering, mechanical engineering, ocean engineering, chemical engineering, etc. It can also be used as a reference for those who are working in physics, biology, geology, material science, and nanotechnology."––W. Q. Chen, Department of Engineering Mechanics, Zhejiang University, Hangzhou, China"The book provides an excellent comprehensive treatment of analytical vibration analysis of continuous structural systems. It provides the exact solutions for strings, membranes, beams, and plates along with tabulated numerical frequencies which makes this book essential not only for academics but also for practicing engineers and designers. … The authors have done an admirable job in the organization and the flow of the book. Direct explanations tell the story of structural vibrations, moving from basic string model to more complex non-uniform plates. In each chapter, the authors present the current research development based upon the latest research articles."––Huseyin Yuce, New York City College of Technology, Brooklyn, USA"This book is a new reference on a special topic (exact eigensolutions) for certain structural components, which can be quite useful for people in R&D of structural systems, educators of engineering vibrations, and developers of numerical algorithms for structural vibration problems."––Bingen Yang, Dept. of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA, U.S.A Informationen zum Autor C.Y. Wang, Michigan State University C.M. Wang, National University of Singapore Klappentext This book is a comprehensive survey on multiple exact vibration solutions. It serves as a benchmark for other approximate methods used by industry professionals, researchers, and academics working in structural and mechanical engineering. Specifically, it provides basic governing equations of motion and boundary conditions, as well as exact solutions for the vibration of beams, plates, membranes, and strings. It examines the exact functions for a large range of differential equations, providing a rich source of practical problems when teaching differential equations to engineering science students. "The book is arranged in a way from simple to complex, enabling an easy walk into the whole subject. The exact solutions are illustrated not only by the analytical expressions, but also by numerical results in table or figure form. Thus, they can be directly used as benchmarks for comparison with numerical or approximate analytical solutions, or they can be simply taken over in evaluating the dynamic behavior of a practical structure. ... The materials presented are very solid. This book presents a collection of exact solutions for vibration of strings, beams (bars), and plates, which are very common both in engineering and natural science. Complicating effec...
About the author
C.Y. Wang, Michigan State University
C.M. Wang, National University of Singapore
