Ebook: Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory
- Tags: Structural Mechanics, Dynamical Systems and Ergodic Theory
- Series: Applied Mathematical Sciences 149
- Year: 2002
- Publisher: Springer New York
- Language: English
- pdf
Content:
Front Matter....Pages i-xvii
Introduction to Bifurcation Behavior....Pages 1-32
Front Matter....Pages 33-35
Critical Points and Local Behavior....Pages 36-66
Imperfection Sensitivity Laws....Pages 67-81
Critical Initial Imperfection (I)....Pages 82-100
Random Initial Imperfection (I)....Pages 101-121
Experimentally Observed Bifurcation Diagrams....Pages 122-149
Front Matter....Pages 151-154
Group-Theoretic Bifurcation Theory....Pages 155-181
Bifurcation Behavior of D n -Equivariant Systems....Pages 182-232
Critical Initial Imperfection (II)....Pages 233-249
Random Initial Imperfection (II)....Pages 250-265
Description of Bifurcation Behaviors....Pages 266-275
Front Matter....Pages 277-280
Bifurcation of Cylindrical Sand Specimens....Pages 281-307
Echelon-Mode Formation....Pages 308-357
Bifurcation of Steel Specimens....Pages 358-377
Miscellaneous Aspects of Bifurcation Phenomena....Pages 378-391
Back Matter....Pages 392-414
Content:
Front Matter....Pages i-xvii
Introduction to Bifurcation Behavior....Pages 1-32
Front Matter....Pages 33-35
Critical Points and Local Behavior....Pages 36-66
Imperfection Sensitivity Laws....Pages 67-81
Critical Initial Imperfection (I)....Pages 82-100
Random Initial Imperfection (I)....Pages 101-121
Experimentally Observed Bifurcation Diagrams....Pages 122-149
Front Matter....Pages 151-154
Group-Theoretic Bifurcation Theory....Pages 155-181
Bifurcation Behavior of D n -Equivariant Systems....Pages 182-232
Critical Initial Imperfection (II)....Pages 233-249
Random Initial Imperfection (II)....Pages 250-265
Description of Bifurcation Behaviors....Pages 266-275
Front Matter....Pages 277-280
Bifurcation of Cylindrical Sand Specimens....Pages 281-307
Echelon-Mode Formation....Pages 308-357
Bifurcation of Steel Specimens....Pages 358-377
Miscellaneous Aspects of Bifurcation Phenomena....Pages 378-391
Back Matter....Pages 392-414
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