Buch, Englisch, 496 Seiten, Format (B × H): 162 mm x 244 mm, Gewicht: 2020 g
Theory, Practice and Software
Buch, Englisch, 496 Seiten, Format (B × H): 162 mm x 244 mm, Gewicht: 2020 g
ISBN: 978-1-85233-421-5
Verlag: Springer Nature Singapore
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Wirtschaftswissenschaften Wirtschaftssektoren & Branchen Fertigungsindustrie Luftfahrtindustrie
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
- Technische Wissenschaften Verkehrstechnik | Transportgewerbe Luft- und Raumfahrttechnik, Luftverkehr
- Technische Wissenschaften Verkehrstechnik | Transportgewerbe Fahrzeugtechnik
- Technische Wissenschaften Bauingenieurwesen Konstruktiver Ingenieurbau, Baustatik
- Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure
- Technische Wissenschaften Bauingenieurwesen Bauingenieurwesen
- Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
Weitere Infos & Material
I: Introduction.- 1 Introduction.- 1.1 Background.- 1.2 Previous work.- 1.2.1 Structural shape optimization of shells and folded plates under static conditions.- 1.2.2 Vibrating shells of revolution.- 1.2.3 Vibrating prismatic shells and folded plates.- 1.3 Classification of structural optimization problems.- 1.3.1 Classification based on mode of behaviour.- 1.3.2 Classification according to type of design variable.- 1.4 Classification of shells.- 1.4.1 Indian Standard classification of shells and folded plates.- 1.4.2 Simplified classification of shells and folded plates.- 1.4.3 Summary of structures considered.- 1.5 Computer-aided shape definition.- 1.5.1 Shape definition of shells of revolution and prismatic shells.- 1.6 Element technology.- 1.6.1 Elements for shells of revolution.- 1.6.2 Strips for prismatic shells.- 1.7 Automatic mesh generation.- 1.7.1 Automatic mesh generation for shells of revolution and prismatic shells.- 1.8 Structural shape optimization.- 1.8.1 The basic algorithm.- 1.8.2 Sensitivity analysis.- 1.8.3 Sensitivity analysis of static response.- 1.8.4 Sensitivity analysis of dynamic problems.- 1.8.5 Selection and linking of design variables.- 1.8.6 Selection of constraint points.- 1.8.7 Optimization algorithm.- 1.9 Typical shell problems treated.- 1.10 Software developed in this book.- 1.11 Layout of the book.- References.- 2 Structural Shape Definition and Automatic Mesh Generation with contributions from NVR Rao.- 2.1 General perspective.- 2.2 Structural shape definition.- 2.2.1 Three equivalent representations of a parametric cubic spline.- 2.2.2 The cubic B-spline representation.- 2.2.3 Terminology.- 2.2.4 Computer implementation.- 2.2.5 Specification of end condition of splines.- 2.3 Structural thickness definition.- 2.4 Automatic mesh generation.- 2.4.1 General requirements.- 2.4.2 Algorithm for mesh generation.- 2.5 Shape definition and mesh generation in structural analysis.- 2.6 Shape definition and mesh generation in structural optimization.- 2.6.1 Shape design variables.- 2.6.2 Selection of thickness design variables.- 2.6.3 Linking of design variables.- 2.6.4 Perturbation of design variables.- 2.6.5 Prescribed move directions.- 2.7 Other applications of the present tools.- References.- 3 Structural Optimization Methods and Algorithms.- 3.1 General perspective.- 3.1.1 Problem classification.- 3.1.2 Problem definition and formulation.- 3.1.3 Basic algorithm and three-columns concept.- 3.1.4 Other important aspects.- 3.2 Optimization algorithms.- 3.2.1 Overview.- 3.2.2 Mathematical programming.- 3.2.3 Genetic algorithms.- 3.2.4 Approximation concepts.- 3.3 Sensitivity analysis.- 3.3.1 Overview.- 3.3.2 Global finite differences.- 3.3.3 Semi-analytical method.- 3.3.4 Analytical or direct sensitivity method.- 3.3.5 Adjoint variable method.- 3.3.6 Accuracy assessment.- 3.4 Concluding remarks.- References.- II: Static Analysis and Optimization.- 4 Basic Finite Element Formulation for Shells of Revolution.- 4.1 General perspective.- 4.2 Basic formulation.- 4.3 Finite element idealization.- 4.4 Strain energy evaluation.- 4.5 Benchmark examples.- 4.5.1 Cylindrical tank with non-uniform wall thickness.- 4.5.2 Clamped circular plate.- 4.5.3 Spherical dome under uniform pressure.- 4.5.4 Toroidal shell under internal pressure.- 4.6 Closing remarks.- References.- 5 Basic Finite Strip Formulation for Prismatic Shells with contributions from NVR Rao.- 5.1 General perspective.- 5.1.1 Preamble.- 5.1.2 Simply supported Euler-Bernoulli beam.- 5.1.3 Simply supported Timoshenko beam.- 5.2 Right prismatic shells.- 5.2.1 Basic formulation.- 5.2.2 Finite strip idealization.- 5.2.3 Branched strips.- 5.3 Benchmark examples.- 5.3.1 Plates.- 5.3.2 Box-girder bridges.- 5.3.3 Cylindrical shells.- 5.4 Prismatic structures with curved planform.- 5.4.1 Basic formulation.- 5.4.2 Branched strips.- 5.5 Benchmark examples.- 5.5.1 Comparisons with known solutions for right structures analyzed as structures with curved planform.- 5.5.2 Comparison with known solutions for structures with curved planform.- 5.5.3 New solutions for structures with curved planform.- References.- 6 Structural Optimization of Shells of Revolution and Prismatic Shells with contributions from NVR Rao.- 6.1 General perspective.- 6.2 Problem definition.- 6.2.1 Selection of objective function for the problem.- 6.2.2 Selection of constraints for the problem.- 6.3 Sensitivity analysis.- 6.3.1 Analytical method.- 6.3.2 Semi-analytical method.- 6.3.3 Stress resultant gradients.- 6.3.4 Equivalent stress derivative.- 6.3.5 Global finite difference method.- 6.3.6 Volume gradient.- 6.3.7 Strain energy gradient.- 6.4 Shells of revolution examples.- 6.4.1 Clamped circular plate subjected to uniformly distributed load.- 6.4.2 Cylindrical tank under hydrostatic pressure.- 6.4.3 Spherical shell under ring load.- 6.5 Right prismatic shells and folded plates examples.- 6.5.1 Square plates subjected to uniformly distributed load.- 6.5.2 Plates on elastic foundations.- 6.5.3 Single-cell right box-girder bridge.- 6.5.4 Cylindrical shell roof.- 6.5.5 Pinched cylindrical shell.- 6.6 Prismatic shells with curved planform examples.- 6.6.1 Plates with curved planform subjected to uniformly distributed load.- 6.6.2 Single-cell curved box-girder bridge.- 6.6.3 Pinched cylindrical shell with curved planform.- 6.7 Closing remarks.- References.- III: Free Vibration Analysis and Optimization.- 7 Basic Finite Element Formulation for Vibrating Axisymmetric Shells.- 7.1 General perspective.- 7.1.1 Analysis methods.- 7.1.2 Applications.- 7.2 Structural analysis and finite element formulation.- 7.2.1 Finite element formulation.- 7.2.2 Finite element idealization.- 7.2.3 Branched elements.- 7.3 Examples.- 7.3.1 Thin circular plate.- 7.3.2 Annular plates with linearly varying thickness.- 7.3.3 Hemispherical dome.- 7.3.4 Conical shell with variable thickness.- 7.3.5 Cone-cylinder combination.- 7.3.6 Hyperboloidal shell.- 7.3.7 Hermetic capsule.- 7.3.8 Hermetic can.- 7.3.9 Bells.- References.- 8.1 Introduction.- 8.2 Prismatic shells with rectangular planform.- 8.2.1 Basic finite strip formulation.- 8.2.2 Finite strip idealization.- 8.2.3 Branched strips.- 8.3 Examples.- 8.3.1 Square plates.- 8.3.2 Variable-thickness plates.- 8.3.3 Stiffened panel.- 8.3.4 Cylindrical shell.- 8.3.5 Cylinders with interior partitions.- 8.3.6 Two-cell right box-girder bridge.- 8.4 Prismatic structures with curved planform.- 8.4.1 Basic finite strip formulation.- 8.4.2 Finite strip idealization.- 8.4.3 Branched strips.- 8.5 Examples.- 8.5.1 Annular sector plates.- 8.5.2 Two-cell box-girder bridge with a curved planform.- 8.5.3 Right cylinders with interior partitions.- 8.5.4 Cylinders with interior partitions and curved planforms.- References.- 9 Structural Shape Optimization of Vibrating Axisymmetric and Prismatic Shells.- 9.1 General perspective.- 9.2 Problem definition.- 9.2.1 Selection of objective function.- 9.2.2 Selection of design variables.- 9.2.3 Selection of constraints.- 9.2.4 Bounds on design variables.- 9.3 Sensitivity analysis.- 9.3.1 Derivative evaluation.- 9.3.2 Analytical method.- 9.3.3 Semi-analytical method.- 9.3.4 Finite difference method.- 9.3.5 Derivative of volume.- 9.4 Axisymmetric shells.- 9.5 Axisymmetric shell examples.- 9.5.1 Circular plates.- 9.5.2 Conical shell.- 9.5.3 Spherical shells.- 9.5.4 Branched shell.- 9.5.5 Bells.- 9.6 Prismatic folded plates and shells.- 9.7 Prismatic folded plates and shells: examples.- 9.7.1 Square plates.- 9.7.2 Stiffened panel.- 9.7.3 Cylindrical shell.- 9.7.4 Box-girder bridge.- 9.8 Prismatic shells with curved planform: examples.- 9.8.1 Annular sector plates.- 9.8.2 Cylindrical shell segment with curved planform.- 9.8.3 Box-girder bridge.- References.- IV: Dynamic and Buckling Analysis and Optimization.- 10 Buckling Analysis and Optimization of Plates and Shells.- 10.1 Prismatic plates.- 10.2 Strip formulation for prismatic plates with rectangular planform.- 10.2.1 Strain energy.- 10.3 Prismatic plate examples.- 10.3.1 Isotropic plates of uniform thickness.- 10.3.2 Square variable-thickness (Sh/Sh/Sh/Sh) isotropic plates under uniaxial load.- 10.3.3 Stiffened panels under uniaxial load.- 10.4 Axisymmetric plates and shells.- 10.5 Finite element formulation for axisymmetric plates and shells.- 10.5.1 Strain energy.- 10.6 Axisymmetric examples.- 10.6.1 Circular plates.- 10.6.2 Annular plates.- 10.6.3 Thin cylindrical shells.- 10.7 Buckling optimization of structures.- 10.8 Optimization examples for prismatic and folded plates.- 10.8.1 Rectangular plate examples.- 10.8.2 Stiffened panels.- 10.9 Optimization examples for circular and annular plates.- 10.9.1 Circular plates.- 10.9.2 Annular plates.- References.- 11 Basic Dynamic Analysis of Plates, Solids of Revolution and Finite Prism Type Structures.- 11.1 Analytical models for the dynamic analysis of rectangular simply supported plates.- 11.1.1 Introduction.- 11.1.2 Governing equations.- 11.1.3 Closed-form solution: vibration analysis.- 11.1.4 Stability analysis.- 11.1.5 Dynamic transient analysis.- 11.1.6 Introduction to examples.- 11.1.7 Examples: free vibrations.- 11.1.8 Examples: initially stressed vibration and buckling.- 11.1.9 Examples: transient dynamic analysis.- 11.2 Finite element analysis of solids of revolution.- 11.2.1 Introduction.- 11.2.2 Basic formulation.- 11.2.3 Solid of revolution element.- 11.2.4 Solid of revolution examples.- 11.3 Finite prism models.- 11.3.1 Basic formulation.- 11.3.2 The finite prism method.- 11.3.3 Example.- 11.4 Related closed-form static analysis of rectangular simply supported plates.- 11.4.1 Introduction.- 11.4.2 Closed-form solutions.- 11.4.3 Fourier series representation of the loads.- 11.4.4 Sample solutions.- References.- Appendices.- A The Evaluation of certain Strain Terms.- B Evaluation of the Radius of Curvature R.- C Musical Scales and Temperament.- Author Index.- V: CD-ROM.- A CD-Rom Overview and Installation Instructions.- A.1 CD-Rom overview.- A.1.1 Software packages.- A.1.2 User manuals.- A.1.3 Tools and other resources.- A.2 Installation instructions of PCs.- A.3 Internet links.- B Documentation and User Instructions of Program “SANOPT-S”.- B.1 Program documentatio.- B.1.1 Overview of the program.- B.1.2 Block structure and main routines.- B.1.3 File structures.- B.1.4 Main dimensions and limitations of the program.- B.2 Input instructions.- B.2.1 Main structure of input data.- B.2.2 User hints.- B.3 Specimen input data files.- B.3.l Cylindrical tank under hydrost atic pressure.- B.3.2 Single-cell right box-girder bridge.- B.3.3 Pinched cylindrical shell with curved planform.- References.- Documentation and User Instructions of Program “SANOPT-F”.- C.1 Program documentation.- C.1.1 Overview of the program.- C.1.2 Block structure and main routines.- C.1.3 File structures.- C.1.4 Main dimensions and limitations of the program.- C.2 Input instructions.- C.2.1 Main structure of input data.- C.2.2 User hints.- C.3 Specimen input data files.- C.3.1 Conical shell.- C.3.2 Square plate.- C.3.3 Cylindrical shell segment with curved planform.- References.- D Documentation and User Instructions of Program “SANOPT-P”.- D.1 Program documentation.- D.1.1 Overview of the program.- D.1.2 Block structure and main routines.- D.1.3 File structures.- D.1.4 Main dimensions and limitations of the program.- D.2 Input instructions.- D.2.1 Main st ruct ure of input data file for static problems.- D.2.2 Main structure of input dat a file for free-vibration and buckling problems.- D.3 Specimen input data files.- D.3.1 Cylindrical shell roof subjected to self-weight loading.- D.3.2 Thin circular plate.- E Documentation and User Instructions of Program “PREP”.- E.1 Program documentation.- E.1.1 Overview of the program.- E.1.2 Block structure and main routines.- E.1.3 File structures.- E.1.4 Main dimensions and limitations of the program.- E.2 Input instructions.- E.2.1 Main structure of input data.- E.2.2 User hints.- E.3 Specimen input data file.- E.3.1 Cylinder with hemispherical bottom under internal pressure.- F Documentation and User Instructions of Program “SP LINE”.- F.1 Program documentation.- F.1.1 Overview of the program.- F.1.2 Block structure and main routines.- F.1.3 File structures.- F.1.4 Main dimensions and limitations of the program.- F.2 Input instructions.- F.2.1 Main structure of input data.- F.2.2 User hints.- F.3 Specimen input data file.- F.3.1 Wheel geometry.- G Documentation and User Instructions of Program “OPTIMIZE”.- G.1 Program documentation.- G.1.1 Overview of the program.- G.1.2 Block structure and main routines.- G.1.3 File structures.- G.2 Input instructions.- G.3 Specimen user-supplied subroutines and output data file.- G.3.1 Example.- References.- H Documentation and User Instructions of Program “TRAM”.- H.1 Pro gramdocumentation.- H.1.1 Overview of the program.- H.1.2 Main routines.- H.2 Input instructions.- H.2.1 The glossary of variable names.- H.2.2 Main structure of input data.- H.3 Specimen input data files.- H.3.1 Free-vibration and buckling analysis of square plate.- I Documentation and User Instructions of Program “VISOR”.- I.1 Program documentation.- I.1.1 Overview of the program.- I.1.2 Main routines.- I.2 Input instructions.- I.2.1 The glossary of variable names.- I.2.2 Main structure of input data.- I.3 Specimen input data files.- I.3.1 Simply supported circular plate.- I.3.1 Simply supported square plate.- References.- J Documentation and User Instructions of Program “PLATES”.- J.1 Program documentation.- J.1.1 Overview of the program.- J.1.2 Main routines.- J.2 Input instructions.- J.2.1 The glossary of variable names.- J.2.2 Main structure of input data.- J.3 Specimen input data files.- J.3.1 Homogeneous isotropic rectangular thin plates.