Ebook: Analysis of Geometrically Nonlinear Structures
- Tags: Civil Engineering, Appl.Mathematics/Computational Methods of Engineering, Mechanics, Architecture general
- Year: 2003
- Publisher: Springer Netherlands
- Edition: 2
- Language: English
- pdf
The availability of computers has, in real terms, moved forward the practice of structural engineering. Where it was once enough to have any analysis given a complex configuration, the profession today is much more demanding. How engineers should be more demanding is the subject of this book. In terms of the theory of structures, the importance of geometric nonlinearities is explained by the theorem which states that "In the presence of prestress, geometric nonlinearities are of the same order of magnitude as linear elastic effects in structures. " This theorem implies that in most cases (in all cases of incremental analysis) geometric nonlinearities should be considered. And it is well known that problems of buckling, cable nets, fabric structures, ... REQUIRE the inclusion of geometric nonlinearities. What is offered in the book which follows is a unified approach (for both discrete and continuous systems) to geometric nonlinearities which incidentally does not require a discussion of large strain. What makes this all work is perturbation theory. Let the equations of equilibrium for a system be written as where P represents the applied loads, F represents the member forces or stresses, and N represents the operator which describes system equilibrium.
Content:
Front Matter....Pages I-XVI
Overview....Pages 1-22
Linear Structural Analysis....Pages 23-39
“Exact” Analysis of Trusses....Pages 41-69
Nonlinear Analysis of Plane Frames....Pages 71-91
Nonlinear Analysis of Space Frames....Pages 93-119
Nonlinear Analysis of Membranes....Pages 121-149
Cable Nets and Fabric Structures....Pages 151-186
Three-Dimensional Beam-Columns....Pages 187-203
Nonlinear Analysis of Shells....Pages 205-237
Back Matter....Pages 239-272
Content:
Front Matter....Pages I-XVI
Overview....Pages 1-22
Linear Structural Analysis....Pages 23-39
“Exact” Analysis of Trusses....Pages 41-69
Nonlinear Analysis of Plane Frames....Pages 71-91
Nonlinear Analysis of Space Frames....Pages 93-119
Nonlinear Analysis of Membranes....Pages 121-149
Cable Nets and Fabric Structures....Pages 151-186
Three-Dimensional Beam-Columns....Pages 187-203
Nonlinear Analysis of Shells....Pages 205-237
Back Matter....Pages 239-272
....