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.

• Preface to the Second EditionAbout the AuthorsChapter 1 Introduction to Structural Vibration Chapter 2 Vibration of Strings Chapter 3 Vibration of MembranesChapter 4 Vibration of Beams, Rings, and ArchesChapter 5 Vibration of Isotropic PlatesChapter 6 Vibration of Plates with Complicating EffectsChapter 7 Vibration of Nonisotropic Plates Chapter 8 Vibration of Linked Segmented Structures Index

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.

• Preface to the Second EditionAbout the AuthorsChapter 1 Introduction to Structural Vibration Chapter 2 Vibration of Strings Chapter 3 Vibration of MembranesChapter 4 Vibration of Beams, Rings, and ArchesChapter 5 Vibration of Isotropic PlatesChapter 6 Vibration of Plates with Complicating EffectsChapter 7 Vibration of Nonisotropic Plates Chapter 8 Vibration of Linked Segmented Structures Index

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.

• Preface to the Second EditionAbout the AuthorsChapter 1 Introduction to Structural Vibration Chapter 2 Vibration of Strings Chapter 3 Vibration of MembranesChapter 4 Vibration of Beams, Rings, and ArchesChapter 5 Vibration of Isotropic PlatesChapter 6 Vibration of Plates with Complicating EffectsChapter 7 Vibration of Nonisotropic Plates Chapter 8 Vibration of Linked Segmented Structures Index