Structural Vibration: Exact Solutions for Strings, Membranes, Beams, Rings, Arches, and Plates
Autor C.Y. Wang, C.M. Wangen Limba Engleză Hardback – 24 feb 2026
• Presents a single-volume resource for exact solutions of vibration problems in strings, membranes, beams, rings, arches, and plates.
• Serves as a useful reference for checking vibration frequency values and mode shapes of structural problems.
• Includes governing equations and boundary conditions for vibration of structural elements.
• Presents analogies of vibration problems.
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Specificații
ISBN-13: 9781041036548
ISBN-10: 104103654X
Pagini: 334
Ilustrații: 262
Dimensiuni: 156 x 234 mm
Greutate: 0.59 kg
Ediția:2nd edition
Editura: CRC Press
Colecția CRC Press
ISBN-10: 104103654X
Pagini: 334
Ilustrații: 262
Dimensiuni: 156 x 234 mm
Greutate: 0.59 kg
Ediția:2nd edition
Editura: CRC Press
Colecția CRC Press
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Public țintă
Professional ReferenceCuprins
Preface to the Second Edition
About the Authors
Chapter 1 Introduction to Structural Vibration
Chapter 2 Vibration of Strings
Chapter 3 Vibration of Membranes
Chapter 4 Vibration of Beams, Rings, and Arches
Chapter 5 Vibration of Isotropic Plates
Chapter 6 Vibration of Plates with Complicating Effects
Chapter 7 Vibration of Nonisotropic Plates
Chapter 8 Vibration of Linked Segmented Structures
Index
About the Authors
Chapter 1 Introduction to Structural Vibration
Chapter 2 Vibration of Strings
Chapter 3 Vibration of Membranes
Chapter 4 Vibration of Beams, Rings, and Arches
Chapter 5 Vibration of Isotropic Plates
Chapter 6 Vibration of Plates with Complicating Effects
Chapter 7 Vibration of Nonisotropic Plates
Chapter 8 Vibration of Linked Segmented Structures
Index
Notă biografică
C. Y. Wang is a professor in the Department of Mathematics with an adjunct position in the Department of Mechanical Engineering at Michigan State University in East Lansing, Michigan. He obtained his BS from Taiwan University and his PhD from Massachusetts Institute of Technology. Prof. Wang has published about 214 papers in solid mechanics (elastica, torsion, buckling, and vibrations of structural members), 206 papers in fluid mechanics (exact Navier-Stokes solutions, Stokes flow, and unsteady viscous flow), and 178 papers in other areas (biological, thermal, and electromechanics). Prof. Wang wrote the monograph Perturbation Methods (Taiwan University Press) and is a coauthor of Exact Solutions for Buckling of Structural Members, Structural Vibration (CRC Press). He also wrote Essential Perturbation Methods, Essential Analytic Laminar Flow, and Essential Analytic Heat Transfer (Springer). He has served as a technical editor for Applied Mechanics Reviews.
C. M. Wang is a professor in the School of Civil Engineering at The University of Queensland in Australia. He is a chartered structural engineer, a fellow of the Australian Academy of Technology and Engineering, a member of the European Academy of Sciences and Arts, a fellow of the Singapore Academy of Engineering, a fellow of the Institution of Engineers Singapore, and a fellow of the Institution of Structural Engineers. His research interests are in the areas of structural stability, vibration, optimization, plated structures, and floating structures. He has published more than 520 journal papers, and co-authored and edited ten books including Shear Deformable Beams and Plates: Relationships with Classical Solutions (Elsevier) and Exact Solutions for Buckling of Structural Members (CRC Press). He is the editor-in-chief of the International Journal of Structural Stability and Dynamics and an editorial board member of Engineering Structures, International Journal of Applied Mechanics, Structures, Journal of Marine Science and Engineering, and Shock and Vibration.
C. M. Wang is a professor in the School of Civil Engineering at The University of Queensland in Australia. He is a chartered structural engineer, a fellow of the Australian Academy of Technology and Engineering, a member of the European Academy of Sciences and Arts, a fellow of the Singapore Academy of Engineering, a fellow of the Institution of Engineers Singapore, and a fellow of the Institution of Structural Engineers. His research interests are in the areas of structural stability, vibration, optimization, plated structures, and floating structures. He has published more than 520 journal papers, and co-authored and edited ten books including Shear Deformable Beams and Plates: Relationships with Classical Solutions (Elsevier) and Exact Solutions for Buckling of Structural Members (CRC Press). He is the editor-in-chief of the International Journal of Structural Stability and Dynamics and an editorial board member of Engineering Structures, International Journal of Applied Mechanics, Structures, Journal of Marine Science and Engineering, and Shock and Vibration.
Descriere
Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates offers an introduction to structural vibration and highlights the importance of the natural frequencies in design.
Recenzii
"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
––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