The Stability of Elastic Systems
Pergamon Unified Engineering Series
Published on 3. July 2014
480 pages
978-1-4831-8517-0 (ISBN)
Description
The Stability of Elastic Systems presents some of the most important aspects of the stability and the non-linear behavior at finite deformations of several types of structural elastic systems, which are important for a more precise understanding of the static performance of such systems. This book is divided into eight chapters that aim to complete parts of classical, eigenvalue, theories of buckling and to demonstrate the important role played by finite deformations in the theoretical analyses of stability. Other chapters discuss the properties of prismatic members and the post-buckling behavior of plane frameworks. A chapter describes the elastic buckling and stability of statically determinate space frameworks. The remaining chapters cover the elastic buckling of statically indeterminate pin-jointed systems and space frameworks. These chapters also examine the non-conservative aspects of structural systems. This book will be of great value to practicing engineers and students.
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R.K. Livesley
Matrix Methods of Structural Analysis
Book
12/1964
Pergamon
€6.50
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Content
PrefaceIntroductionChapter 1 Principal Forms of Equilibrium Paths and their Stability 1-1 Conservative Elastic Systems-Generalized Coordinates 1-2 The Total Potential Energy Function-Principal Orthogonal Coordinates of Deformation 1-3 Equilibrium States and Stability-Critical States-Critical and Non-Critical Coordinates 1-4 Branching of Equilibrium Paths at a Critical Point-The Buckling Behavior 1-5 Stability of Equilibrium Near a Simple Branching Point 1-6 Symmetry in the Critical Coordinate at a Simple Branching Point 1-7 Perfect Elastic Systems Depending on Several Load Parameters-Equilibrium Hyper-Surfaces 1-8 Elastic Structural Systems with Non-Orthogonal Generalized Coordinates-Solution of the Non-Linear Equilibrium Equations at a Branching Point 1-9 Several Critical Coordinates-Branching Points of Systems with Several Degrees of Freedom 1-10 Symmetrical Elastic Structural Systems-Complete Symmetry 1-11 Buckling of Geometrically Imperfect Elastic Systems-Equilibrium Paths of Imperfect Systems 1-12 Equilibrium Paths of Imperfect Symmetrical Systems 1-13 Adjacent Branching Points-Coupled Modes of Elastic BucklingChapter 2 Analysis of Prismatic Members as Constitutive Elements of a System Exact Theory 2-1 Buckling of Compressive Members in a Plane-Flexural Elastica 2-2 Transverse Deformations 2-3 Geometrical Compatibility 2-4 Coordinates of Deformation of Compressive Members 2-5 Internal Forces 2-6 Internal Energy 2-7 Summary of Basic Equations for Compressive Members-Generalized Equilibrium Equations 2-8 Inflectional Elastica of Tensile Members 2-9 Summary of Basic Equations for Inflectional Tensile Members 2-10 Non-Inflectional Elastica of Tensile Members-Non-Symmetrical Cases 2-11 Summary of Basic Equations for Non-Symmetrical, Noninflectional-Tensile Members 2-12 Summary of Basic Equations for Symmetrical Tensile Members Approximate Theory 2-13 Categories of Practical Deformations 2-14 Generalized Equilibrium Equations for Single Members-Buckling of Prismatic Bars 2-15 The First-Order Theory 2-16 Pin-Ended Members or ColumnsThe Post-Buckling Behavior of Plane FrameworksChapter 3 Elastic Buckling and Stability of Statically Determinate Plane Frameworks 3-1 General Forms of the Force-Displacement Relationships for Perfect Members 3-2 Elastic Buckling of Isostatic Frames in Equilibrium-General Theory 3-3 Elastic Stability in Statical Equilibrium 3-4 Applications of the Theory-Tests on Model Frames 3-5 Experimental Determination of Critical States.
