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Structural Vibration: Exact Solutions for Strings, Membranes, Beams, Rings, Arches, and Plates offers an introduction to structural vibration and highlights the importance of the natural frequencies in design. It focuses on free vibrations for analysis and design of structures and machine, and it presents the exact vibration solutions for strings, membranes, beams, rings, arches, and plates. It explains the intrinsic, fundamental, and unexpected features of solutions in terms of known functions as well as solutions determined from exact characteristic equations. This new edition is updated throughout and adds all new coverage of vibration solutions of rings, arches, and linked segmented structures.
¿ 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.
List of contents
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 author
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.
