Greatly expanded sections on natural frequencies and modes, elastic foundations, and simplified shell equations.Rare discussions of natural frequency and mode solutions by power series.The first formulation of a moment loading dynamic Green's function for shells and plates.New examples showcasing a parabolic cylindrical shell, shells composed of homogeneous and isotropic lamina, and a doubly-curved plate solution based on the Donnell-Mushtari-Vlasov theory.Strain energy equations for a variety of situations.The third edition of Vibrations of Shells and Plates continues the philosophy of approach and subject matter treatment of its predecessors. With 30 percent new material, the author clearly illustrates the behavior and design of vibrating shells and structures and provides analytical approaches and discussions not found in any other text on the topic. While the primary focus is analytical, the book also lays the foundation for numerical techniques, such as finite elements and finite differences. The author clearly explains complicating effects on the vibration behavior of shells and plates and details solution techniques such as the receptance method, similitude, and the power series method.
Preface to the Second Edition
Preface to the First Edition
Chapter 1 : Historical Development of Vibration Analysis of Continuous Structural Elements
Chapter 2 : Deep Shell Equations
Chapter 3 : Equations of Motion for Commonly Occurring Geometries
Chapter 4 : Nonshell Structures
Chapter 5 : Natural Frequencies and Modes
Chapter 6 : Simplified Shell Equations
Chapter 7 : Approximate Solution Techniques
Chapter 8 : Forced Vibrations of Shells by Modal
Chapter 9 : Dynamic Influence (Green’s) Function
Chapter 10 : Moment Loading
Chapter 11 : Vibration of Shells and Membranes Under The Influence of Stresses
Chapter 12 : Shell Equations With Shear Deformation and Rotatory Inertia
Chapter 13 : Combinations of Structures
Chapter 14 : Hysteresis Damping
Chapter 15 : Shells Made of Composite Material
Chapter 16 : Rotating Structures
Chapter 17 : Thermal Effects
Chapter 18 : Elastic Foundations
Chapter 19 : Similitude
Chapter 20 : Interactions With Liquids and Gases
Chapter 21 : Discretizing Approaches
Index
