A revised and up-to-date guide to advanced vibration analysis written by a noted expert
The revised and updated second edition of Vibration of Continuous Systems offers a guide to all aspects of vibration of continuous systems including: derivation of equations of motion, exact and approximate solutions and computational aspects. The author—a noted expert in the field—reviews all possible types of continuous structural members and systems including strings, shafts, beams, membranes, plates, shells, three-dimensional bodies, and composite structural members.
Designed to be a useful aid in the understanding of the vibration of continuous systems, the book contains exact analytical solutions, approximate analytical solutions, and numerical solutions. All the methods are presented in clear and simple terms and the second edition offers a more detailed explanation of the fundamentals and basic concepts. Vibration of Continuous Systems revised second edition:
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Contains new chapters on Vibration of three-dimensional solid bodies; Vibration of composite structures; and Numerical solution using the finite element method
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Reviews the fundamental concepts in clear and concise language
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Includes newly formatted content that is streamlined for effectiveness
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Offers many new illustrative examples and problems
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Presents answers to selected problems
Written for professors, students of mechanics of vibration courses, and researchers, the revised second edition of Vibration of Continuous Systems offers an authoritative guide filled with illustrative examples of the theory, computational details, and applications of vibration of continuous systems.
Preface
Acknowledgments
About the Author
Chapter 1 : Introduction : Basic Concepts and Terminology
Chapter 2 : Vibration of Discrete Systems : Brief Review
Chapter 3 : Derivation of Equations : Equilibrium Approach
Chapter 4 : Derivation of Equations : Variational Approach
Chapter 5 : Derivation of Equations : Integral Equation Approach
Chapter 6 : Solution Procedure : Eigenvalue and Modal Analysis Approach
Chapter 7 : Solution Procedure : Integral Transform Methods
Chapter 8 : Transverse Vibration of Strings
Chapter 9 : Longitudinal Vibration of Bars
Chapter 10 : Torsional Vibration of Shafts
Chapter 11 : Transverse Vibration of Beams
Chapter 12 : Vibration of Circular Rings and Curved Beams
Chapter 13 : Vibration of Membranes
Chapter 14 : Transverse Vibration of Plates
Chapter 15 : Vibration of Shells
Chapter 16 : Vibration of Composite Structures
Chapter 17 : Approximate Analytical Methods
Chapter 18 : Numerical Methods : Finite Element Method
Appendix A : Basic Equations of Elasticity
Appendix B : Laplace and Fourier Transforms
Index
