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).
PrefaceAcknowledgments Chapter 1 Background of VibrationChapter 2 Methods of Analysis for Vibration ProblemsChapter 3 Vibration Basics for PlatesChapter 4 Exact, Series-Type, and Approximate Methodsfor Transverse Vibration of PlatesChapter 5 Development of Characteristic OrthogonalPolynomials (COPs) in Vibration ProblemsChapter 6 Boundary Characteristic Orthogonal Polynomials(BCOPs) in Vibration of PlatesChapter 7 Transverse Vibration of Elliptic and CircularPlates Chapter 8 Triangular PlatesChapter 9 Rectangular and Skew PlatesChapter 10 Circular Annular and EllipticAnnular PlatesChapter 11 Plates with Nonhomogeneous Material PropertiesChapter 12 Plates with Variable Thickness Chapter 13 Plates with Orthotropic Material PropertiesChapter 14 Plates with Hybrid Complicating EffectsIndex