Description
Book SynopsisPlates 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 ContentsPreface
Acknowledgments
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
Plates
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
Index
