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).

Preface 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