Analysis and Design of Plated Structures: Volume 2: Dynamics

A concise review of the most recent research and how it can be used in the field, with a panel of distinguished editors and a team of international contributors, this book is an invaluable reference source. It discusses the modeling of plates for effects such as transverse shear deformation and rotary inertia, assembly of plates in forming thin-walled members, and changing material properties in composite, laminated and functionally graded plates. It includes discussions of recent techniques for linear and nonlinear vibration analysis and concludes with a hybrid strategy suitable for parameter identification of plated structures and hydroelastic analysis of floating plated structures.

Table of Contents:
DYNAMIC BEHAVIOR OF TAPERED BEAMS; M.A. Bradford Introduction Linearly Tapered Members with Both Ends Supported Linearly Tapered Cantilever Finite Element Approach Conclusions References GBT-BASED LOCAL AND GLOBAL VIBRATION ANALYSIS OF THIN-WALLED MEMBERS; D. Camotim, N. Silvestre, and R. Bebiano Introduction GBT Vibration Analysis Illustrative Examples Conclusions References DYNAMICS OF NON-PRISMATIC THIN-WALLED HYBRID COMPOSITE MEMBERS OF GENERIC CROSS SECTION; S. Rajasekaran Introduction Remarks on Approach Geometric Description of Undeformed Beam Assumptions Kinematics Constitutive Equations Equations of Equilibrium Finite Element Beam Model Numerical Integration for Finding Properties and Stress Resultants at a Cross Section Alternative Formulation Using Plate Elements Numerical Examples Conclusions References DIFFERENTIAL QUADRATURE ELEMENT METHOD FOR VIBRATION ANALYSIS OF PLATES; K.M. Liew, J. Yang, and S. Kitpornchai Introduction The DQ-Galerkin Method Theoretical Formulations Imperfection Mode Validation Studies Numerical Tests Conclusions Acknowledgements References LEAST SQUARES FINITE DIFFERENCE METHOD FOR VIBRATION ANALYSIS OF PLATES; C. Shu, X. Wu, and C.M. Wang Introduction Least Squares-Based Finite Difference (LSFD) Method Governing Equation and Boundary Conditions for Free Vibration of Thin Plates Discretization of Governing Equation of LSFD Method Numerical Implementation of Boundary Conditions Computation of Stress Resultants Numerical Examples Conclusions References ANALYTICAL P-ELEMENTS FOR VIBRATION OF PLATES/PLATED STRUCTURES; A.Y.T. Leung Introduction Condition Number Trapezoidal Mindlin Plate Elements Transverse Vibration of Plates on Pasternak Foundations Geometric Nonlinear Vibration of Clamped Plates Conclusions References THE EXTENDED KANTOROVICH METHOD FOR VIBRATION ANALYSIS OF PLATES; M. Eisenberger and I. Shufrin Abstract Introduction Vibrations of Rectangular Plates Numerical Examples and Discussion Conclusions References A CLOSED-FORM APPROACH TO MODELING AND DYNAMIC ANALYSIS OF BEAMS, PLATES, AND SHELL; B. Yang Introduction DTFM for One-Dimensional Continua DTFM for Multifunctional Continua Free Vibration of Plates and Shells Conclusions Acknowledgements References VIBRATION OF PLATES WITH ABRUPT CHANGES IN PROPERTIES; Y. Xiang Introduction Mathematical Modeling Case Studies Conclusions Acknowledgements References RELATIONSHIP BETWEEN VIBRATION FREQUENCIES OF HIGHER ORDER PLATE THEORIES AND CLASSICAL THIN PLATE THEORY; C.M. Wang Introduction Plate Theories Equations of Free Vibration Relationship between Frequencies of FSDT and CPT Relationship between Frequencies of TSDT and CPT Frequency Results Modification of Frequency Relationship for Complicating Effects Concluding Remarks References FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED CERAMIC-METAL PLATES; J.N. Reddy and R.A. Archiniega Introduction Theoretical Formulation Finite Element Model Numerical Results Conclusions Acknowledgements Appendix References NONLINEAR TRANSIENT ANALYSIS OF HYBRID LAMINATED PLATES; H.S. Shen and X.L. Huang Introduction Governing Equations Solution Methodology Nonlinear Vibration and Dynamic Response of Initially Stressed Anti-Symmetric Angle-Ply Laminated Plates Nonlinear Vibration and Dynamic Response of and Un-Symmetric Cross-Ply Laminated Plate with Piezoelectric Layers Nonlinear Vibration and Dynamic Response of FGM Hybrid Laminated Plates Conclusions Acknowledgements References A HYBRID STRATEGY FOR PARAMETER IDENTIFICATION OF PLATED STRUCTURES; C.G. Koh and S.L. Zhao Introduction Genetic Algorithms (GA) Hybrid GA-MV Method Two New Local Search Operators Identification of Plated Structure Conclusions Acknowledgements References HYDROELASTIC ANALYSIS OF FLOATING PLATED STRUCTURES; T. Utsunomiya Introduction The Boundary Value Problem The boundary Integral Problem Equation of Motion for VLFS Deflections Formulation for Hydroelastic Analysis Multipole Expansion of the Green's Function Implementation to Higher Order Boundary Element Method Application of the Fast Multipole Method Numerical Examples Conclusions References INDEX

About the Author :
Universiti Kebangsaan, Malaysia National University of Singapore