TY - BOOK AU - Doyle,James F. TI - Nonlinear analysis of thin-walled structures: statics, dynamics, and stability T2 - Mechanical engineering series SN - 0387952160 AV - TA660.T5 D69 2001 U1 - 624.17 PY - 2001/// CY - New York PB - Springer KW - Thin-walled structures KW - Structural analysis (Engineering) KW - Nonlinear theories N1 - Includes bibliographical references and index; Series Preface --; Preface --; Notation --; Introduction --; 1; Mechanics of Solids --; 1.1; Cartesian Tensors --; 1.2; Deformation and Rotation --; 1.3; Strain --; 1.4; Cauchy Stress Principle --; 1.5; Governing Equations of Motion --; 1.6; Material Behavior --; 1.7; Elastic Constitutive Relations --; 1.8; Approximate Weak Form of Problems --; 2; Thin Plates and Shells --; 2.1; Flat Plate Theory --; 2.2; Membrane Problems --; 2.3; Flexural Problems --; 2.4; Curved Plates and Shells --; 2.5; Discretization Using Triangular Regions --; 2.6; Membrane Triangle Elements --; 2.7; Triangular Plate Bending Elements --; 2.8; Shell and Frame Structures --; 3; Nonlinear Static Analysis --; 3.1; Truss and Elastica Problems --; 3.2; Finite Rotations --; 3.3; Solving Nonlinear Equations --; 3.4; Total Lagrangian Incremental Formulation --; 3.5; The Corotational Scheme --; 3.6; Corotational Scheme for 3-D Structures --; 3.7; Deformation-Dependent Loads --; 4; Vibrations of Structures --; 4.1; Free and Forced Vibrations --; 4.2; Free Vibration of Plates and Beams --; 4.3; Matrix Representation of Inertia Forces --; 4.4; Modal Analysis --; 4.5; Relation of Wave Responses to Vibrations --; 4.6; Parametric Excitations --; 5; Nonlinear Dynamics --; 5.1; Free Vibration --; 5.2; Forced Response --; 5.3; Dynamic Equilibrium with Large Rotations --; 5.4; Nonlinear Dynamics and Chaotic Motions --; 5.5; Time Integration of Linear Systems --; 5.6; Explicit Nonlinear Scheme --; 5.7; Nonlinear Structural Dynamics --; 5.8; Dynamic Load Interactions --; 6; Stability of Structures --; 6.1; Concepts of Stability --; 6.2; Beams with Axial Forces --; 6.3; Buckling of Plates --; 6.4; Matrix Formulation for Buckling --; 6.5; Static View of Stability of Discrete Systems --; 6.6; Dynamic View of Static Instabilities --; 6.7; Mode Jumping --; 7; Dynamic Stability --; 7.1; Some Preliminary Ideas --; 7.2; Follower Forces and Dynamic Instability --; 7.3; Aeroelasticity and Flutter --; 7.4; Pulsating Compression of a Beam --; 7.5; Stability of Forced Vibration of Plates --; 7.6; Stability of Motion in the Large --; 7.7; Stability Under Transient Loading --; Afterword --; References --; Index ER -