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With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today's engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its third edition, "Vibrations of Shells and Plates" continues to lay an analytical and computational foundation for the study of vibration in these structures."Vibrations of Shells and Plates, Third Edition" is updated with substantial new material reflecting advances made over the past decade since publication of the second edition. The author demonstrates how the vibration behavior of shells and plates differs from that of beams through theoretical development and examples. He also explains complicating effects on vibration such as the influence of rotation, shear, rotatory inertia, moment loading, residual stresses, and composite layers. New material includes the parabolic cylindrical shell, natural frequencies and modes, power series method, and explicit strain energy equations for many standard cases. Intended for graduate and post-graduate study in vibration, acoustics, noise control, and stress analysis, this textbook provides a strong foundation in vibration theory, offers analytical solutions that illustrate actual behavior of structures, and prepares students to perform finite element and finite difference analysis.

Werner Soedel

Kenneth J. Herrick Professor of Mechanical Engineering

Department of Mechanical Engineering

Purdue University

West Lafayette, Indiana

Soedel, a native of Czechoslovakia of German nationality, earned master's and doctoral degrees from Purdue University. He earned his bachelor's degree from Staatliche Ingenieur Schule Frankfurt in Germany and also attended General Motors Institute for two years.

He had worked for Adam Opel AG and General Motors Corp. for six years before joining Purdue as a faculty member in 1967. Soedel is an internationally recognized scholar whose research focuses on the development and transfer of engineering science to compressor technology applied to refrigeration, air-conditioning and related fields. His work has resulted in more than 100 refereed journal publications and about 120 refereed conference proceedings and papers. He has been the North American editor and the Americas editor for the Journal of Sound and Vibration, the world's premier journal for research in sound and vibration.

Chapter 1|06 pages
Historical Development of Vibration Analysis of Continuous Structural Elements
Chapter 2|44 pages
Deep Shell Equations
Chapter 3|13 pages
Equations of Motion for Commonly Occurring Geometries
Chapter 4|11 pages
Nonshell Structures
Chapter 5|70 pages
Natural Frequencies and Modes
Chapter 6|33 pages
Simplified Shell Equations
Chapter 7|29 pages
Approximate Solution Techniques
Chapter 8|49 pages
Forced Vibrations of Shells by Modal Expansion
Chapter 9|25 pages
Dynamic Influence (Green’s) Function
Chapter 10|20 pages
Moment Loading
Chapter 11|21 pages
Vibration of Shells and Membranes Under the Influence of Initial Stresses
Chapter 12|15 pages
Shell Equations with Shear Deformation and Rotatory Inertia
Chapter 13|43 pages
Combinations of Structures
Chapter 14|11 pages
Hysteresis Damping
Chapter 15|24 pages
Shells Made of Composite Material
Chapter 16|23 pages
Rotating Structures
Chapter 17|08 pages
Thermal Effects
Chapter 18|23 pages
Elastic Foundations
Chapter 19|11 pages
Similitude
Chapter 20|35 pages
Interactions with Liquids and Gases
Chapter 21|24 pages
Discretizing Approach
Index
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