Vibration of Plates  book cover
1st Edition

Vibration of Plates

ISBN 9780367452483
Published December 2, 2019 by CRC Press
411 Pages

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Book Description

Plates are integral parts of most engineering structures and their vibration analysis is required for safe design. Vibration of Plates provides a comprehensive, self-contained introduction to vibration theory and analysis of two-dimensional plates. Reflecting the author's more than 15 years of original research on plate vibration, this book presents new methodologies and demonstrates their effectiveness by providing comprehensive results. The text also offers background information on vibration problems along with a discussion of various plate geometries and boundary conditions, including the new concepts of Boundary Characteristic Orthogonal Polynomials (BCOPs).

Table of Contents

Chapter 1 Background of Vibration

Chapter 2 Methods of Analysis for Vibration Problems

Chapter 3 Vibration Basics for Plates

Chapter 4 Exact, Series-Type, and Approximate Methods
for Transverse Vibration of Plates

Chapter 5 Development of Characteristic Orthogonal
Polynomials (COPs) in Vibration Problems

Chapter 6 Boundary Characteristic Orthogonal Polynomials
(BCOPs) in Vibration of Plates

Chapter 7 Transverse Vibration of Elliptic and Circular

Chapter 8 Triangular Plates

Chapter 9 Rectangular and Skew Plates

Chapter 10 Circular Annular and Elliptic
Annular Plates

Chapter 11 Plates with Nonhomogeneous Material Properties

Chapter 12 Plates with Variable Thickness

Chapter 13 Plates with Orthotropic Material Properties

Chapter 14 Plates with Hybrid Complicating Effects


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Chakraverty, Snehashish