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E-grāmata: Theory of Elastic Stability: Analysis and Sensitivity

  • Formāts: 450 pages
  • Izdošanas datums: 01-Nov-2024
  • Izdevniecība: CRC Press Inc
  • Valoda: eng
  • ISBN-13: 9781040285343
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Theory of Elastic Stability: Analysis and SensitivityPalielināt
  • Formāts: 450 pages
  • Izdošanas datums: 01-Nov-2024
  • Izdevniecība: CRC Press Inc
  • Valoda: eng
  • ISBN-13: 9781040285343
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Gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems; emphasis is on post-buckling analysis and behavior. Sensitivity of buckling and post-buckling states to changes in design parameters is also discussed, as well as changes due to imperfections and damage. The focus is on formulation of engineering problems, rather than on proof of fundamental principles. Chapter problems are included. The author teaches civil engineering at the University of Puerto Rico. Annotation c. Book News, Inc., Portland, OR (booknews.com)

This book gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems. Emphasis is placed throughout the text on post-buckling analysis and behaviour. The sensitivity of buckling and post-buckling states to changes in design parameters is also discussed as well as changes due to imperfections and damage.
Preface xi
Acknowledgments xv
Introduction
1(12)
Basic Concepts about Stability
1(4)
Some Historical Remarks about Developments in Stability
5(3)
Basic Recent Bibliography
8(1)
Scope of This Book
9(2)
Problems
11(1)
Bibliography
11(2)
Equilibrium States in Nonlinear Elasticity
13(30)
Introduction
13(1)
Total Potential Energy
14(7)
Stationary Total Potential Energy and Equilibrium
21(1)
Energy Formulation in Terms of Generalized Coordinates
22(14)
Final Remarks
36(1)
Problems
36(5)
Bibliography
41(2)
Perturbation Techniques
43(24)
Introduction
43(1)
Taylor Series Expansion
44(2)
Regular Perturbation via Implicit Differentiation
46(7)
Perturbations via Explicit Substitution
53(3)
Degenerate Perturbation Problems
56(2)
Singular Perturbation Problems
58(1)
Equilibrium Path of a Shallow Arch
59(4)
Problems
63(3)
Bibliography
66(1)
Stability of An Equilibrium State
67(28)
Some Basic Concepts about Stability Criteria
67(1)
Stability Criteria of Lyapunov
68(4)
The Total Potential Energy Criterion
72(8)
Stability in Terms of a Diagonal Quadratic Form
80(3)
Stability of an Equilibrium Path
83(4)
Dynamic Criterion of Stability
87(2)
Static Criterion of Stability
89(2)
Final Remarks
91(1)
Problems
92(1)
Bibliography
93(2)
Critical States
95(50)
Introduction
95(1)
Detecting Critical States along an Equilibrium Path
96(2)
The Specialized System
98(3)
Critical States along Nonlinear Equilibrium Paths
101(2)
Stability of a Critical State
103(5)
The Axially Loaded Column
108(5)
Column on an Elastic Foundation
113(2)
The Axially Loaded Strut
115(1)
A Two-Bar Frame
116(5)
Circular Arch under Central Point Load
121(6)
Rectangular Plate under In-Plane Loads
127(5)
Circular Ring
132(3)
Torsional Buckling of Compressed Elements
135(2)
Finite Elements for Buckling Loads
137(1)
Concluding Remarks
137(1)
Problems
138(5)
Bibliography
143(2)
The Limit Point
145(16)
Introduction
145(1)
Perturbation Equations
146(3)
The Conditions at a Limit Point
149(3)
The Specialized System
152(1)
The Shallow Arch
153(4)
Final Remarks
157(1)
Problems
158(1)
Bibliography
159(2)
Bifurcation States
161(44)
Introduction
161(3)
Conditions for Bifurcation Points
164(2)
Symmetric Bifurcation
166(6)
Asymmetric Bifurcation
172(4)
The Specialized System
176(1)
Theorems about Postcritical Paths
177(1)
Column under Axial Load
178(3)
Two-Bar Frame
181(3)
Column on Elastic Foundation
184(2)
Circular Ring under Uniform Pressure
186(3)
Rectangular Orthotropic Plate
189(1)
Finite Elements in Postcritical Problems
190(4)
Final Remarks
194(2)
Problems
196(7)
Bibliography
203(2)
Equilibrium of Systems with Imperfections
205(28)
Introduction
205(2)
Theory versus Experiments in Bifurcation Buckling
207(3)
Imperfections as a Second Control Parameter
210(7)
Equilibrium and Stability of Systems with Imperfections
217(2)
Nonlinear Analysis of Limit Point Systems with Imperfections
219(3)
Nonlinear Analysis of Bifurcation Systems with Imperfections
222(5)
The Southwell Plot
227(1)
Problems
228(2)
Bibliography
230(3)
Influence of Nonlinear Material Behavior on Buckling States
233(20)
Introduction
233(1)
Plasticity as a Constraint in Elastic Buckling
234(4)
Systems with Stable Postbuckling Behavior
238(4)
Systems with Unstable Postbuckling Behavior
242(3)
Circular Plate
245(2)
First-Ply Failure of a Composite Column
247(2)
Buckling in the Context of Structural Design
249(2)
Problems
251(1)
Bibliography
252(1)
Imperfection Sensitivity of Critical Points
253(30)
Introduction
253(1)
Perturbation Equations for the Maximum Load in Limit Point Systems
254(2)
Sensitivity of Limit Points to Imperfections. Case 1: (Vixi |c ≠ 0)
256(4)
Sensitivity of Limit Points to Imperfections. Case 2: (Vixi& verbar;c = 0)
260(4)
Imperfection Sensitivity in Bifurcation Behavior
264(3)
Imperfection Sensitivity in Asymmetric Bifurcation
267(5)
Imperfection Sensitivity in Symmetric Bifurcation
272(4)
Sensitivity to Small and Large Imperfections
276(2)
Final Remarks
278(1)
Problems
279(2)
Bibliography
281(2)
Design Sensitivity of Bifurcation States
283(26)
Introduction
283(2)
Design Parameters
285(1)
Perturbation Equations
286(4)
Solution by the Direct Method
290(4)
Solution by an Adjoint Method
294(3)
Simplified Sensitivity Analyses
297(1)
Sensitivity of a Circular Plate
297(4)
Sensitivity of a Thin-Walled Column
301(2)
Sensitivity of a Rectangular Plate
303(2)
Final Remarks
305(1)
Problems
306(1)
Bibliography
307(2)
Design Sensitivity of Postcritical States
309(16)
Introduction
309(1)
Nonlinear Postcritical Analysis
310(1)
Sensitivity of Symmetric Bifurcation
311(2)
Sensitivity of Asymmetric Bifurcation
313(2)
Angle Section Column with Deformble Cross Section
315(4)
Circular Plate under In-Plane Loading
319(2)
Final Remarks
321(1)
Problems
322(1)
Bibliography
323(2)
Bifurcation States: The W-Formulation
325(30)
Bifurcation Analysis in Terms of the Fundamental Path
325(2)
The W Functional
327(3)
Some Properties of W
330(3)
Postcritical Path in Terms of W
333(2)
Quadratic Fundamental Path
335(2)
The W-Formulation Starting from a Continuous Approach
337(2)
The Cylindrical Shell
339(8)
Experiments with Cylinders
347(3)
Problems
350(4)
Bibliography
354(1)
Mode Interaction
355(44)
Introdution
355(1)
Examples of Systems with Mode Interaction
356(3)
New Modes Emerging from Interaction
359(3)
The Total Potential Energy W
362(2)
Evaluation of Coupled Mode Shapes
364(1)
Evaluation of Mode Amplitudes
365(2)
Two Interacting Modes
367(7)
The Augusti Column
374(7)
A Thin-Walled Column
381(8)
The Cylindrical Shell under Axial Load
389(4)
Final Remarks
393(2)
Problems
395(1)
Bibliography
396(3)
Sensitivity of Systems with Mode Interaction
399(14)
Introdution
399(1)
The Augusti Column
400(4)
Experiments with a Box Column
404(1)
Pressurized Spherical Shell
405(3)
Cylindrical Shell under Axial Compression
408(1)
Final Remarks
409(1)
Problems
410(1)
Bibliography
410(3)
APPENDIX A DISPLACEMENTS, STRAINS, AND STRESSES 413(8)
A.1 Geometry
413(1)
A.2 Forces
414(1)
A.3 Displacements
415(1)
A.4 Strains
415(3)
A.5 Stresses
418(1)
A.6 Constitutive Relations
419(1)
A.7 Boundary Conditions
419(1)
A.8 Summary
420(1)
A.9 Bibliography
420(1)
APPENDIX B ENERGY OF BARS AND TRUSSES 421(4)
B.1 Energy of a Frame Member
421(2)
B.2 Energy of a Truss Member
423(2)
Index 425


Luis A. Godoy
Biežāk uzdotie jautājumi par e-grāmatām Biežāk uzdotie jautājumi par e-grāmatām
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