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Evolutionary topology optimization of continuum structures [[electronic resource] ] : methods and applications / / X. Huang, Y.M. Xie
| Evolutionary topology optimization of continuum structures [[electronic resource] ] : methods and applications / / X. Huang, Y.M. Xie |
| Autore | Huang X (Xiaodong), <1972-> |
| Pubbl/distr/stampa | Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : Wiley, 2010 |
| Descrizione fisica | 1 online resource (237 p.) |
| Disciplina | 624.1/7713 |
| Altri autori (Persone) | XieY. M |
| Soggetto topico |
Structural optimization
Topology |
| ISBN |
1-282-54873-5
9786612548734 0-470-68948-X 0-470-68947-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
EVOLUTIONARYTOPOLOGYOPTIMIZATION OFCONTINUUMSTRUCTURES; Contents; Preface; 1 Introduction; 1.1 Structural Optimization; 1.2 Topology Optimization of Continuum Structures; 1.3 ESO/BESO and the Layout of the Book; References; 2 Evolutionary Structural Optimization Method; 2.1 Introduction; 2.2 ESO Based on Stress Level; 2.2.1 Evolutionary Procedure; 2.2.2 Example of Two-bar Frame; 2.2.3 Examples of Michell Type Structures; 2.3 ESO for Stiffness or Displacement Optimization; 2.3.1 Sensitivity Number and Evolutionary Procedure; 2.3.2 Example of a Short Cantilever
2.3.3 Example of a Beam Structure2.4 Conclusion; References; 3 Bi-directional Evolutionary Structural Optimization Method; 3.1 Introduction; 3.2 Problem Statement and Sensitivity Number; 3.2.1 Problem Statement; 3.2.2 Sensitivity Number; 3.3 Filter Scheme and Improved Sensitivity Number; 3.3.1 Checkerboard and Mesh-dependency Problems; 3.3.2 Filter Scheme for BESO Method; 3.3.3 Stabilizing the Evolutionary Process; 3.4 Element Removal/Addition and Convergence Criterion; 3.5 Basic BESO Procedure; 3.6 Examples of BESO Starting from Initial Full Design 3.6.1 Topology Optimization of a Short Cantilever3.6.2 Topology Optimization of a Beam; 3.7 Examples of BESO Starting from Initial Guess Design; 3.8 Example of a 3D Structure; 3.9 Mesh-independence Studies; 3.10 Conclusion; References; 4 BESO Utilizing Material Interpolation Scheme with Penalization; 4.1 Introduction; 4.2 Problem Statement and Material Interpolation Scheme; 4.2.1 Problem Statement; 4.2.2 Material Interpolation Scheme; 4.3 Sensitivity Analysis and Sensitivity Number; 4.3.1 Sensitivity Analysis; 4.3.2 Sensitivity Number; 4.4 Examples 4.4.1 Topology Optimization of a Short Cantilever4.4.2 Topology Optimization of a Beam; 4.4.3 Topology Optimization of a 3D Cantilever; 4.5 Conclusion; Appendix 4.1; References; 5 Comparing BESO with Other Topology Optimization Methods; 5.1 Introduction; 5.2 The SIMP Method; 5.3 Comparing BESO with SIMP; 5.3.1 Comparison of Topology Optimization Algorithms without a Mesh-independency Filter; 5.3.2 Comparison of Topology Optimization Algorithms with a Mesh-independency Filter; 5.3.3 Advantages of the BESO Method and Questions yet to be Resolved 5.4 Discussion on Zhou and Rozvany (2001) Example5.4.1 Introduction of Zhou and Rozvany (2001) Example; 5.4.2 Is it a Nonoptimal or a Local Optimal Solution?; 5.4.3 Avoidance of Highly Inefficient Local Optimum; 5.5 Conclusion; References; 6 BESO for Extended Topology Optimization Problems; 6.1 Introduction; 6.2 Minimizing Structural Volume with a Displacement or Compliance Constraint; 6.2.1 Sensitivity Analysis and Sensitivity Number; 6.2.2 Determination of Structural Volume; 6.2.3 Examples; 6.3 Stiffness Optimization with an Additional Displacement Constraint; 6.3.1 Sensitivity Number 6.3.2 Determination of Lagrangian Multiplier |
| Record Nr. | UNINA-9910140611603321 |
Huang X (Xiaodong), <1972->
|
||
| Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : Wiley, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Evolutionary topology optimization of continuum structures : methods and applications / / X. Huang, Y.M. Xie
| Evolutionary topology optimization of continuum structures : methods and applications / / X. Huang, Y.M. Xie |
| Autore | Huang X (Xiaodong), <1972-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : Wiley, 2010 |
| Descrizione fisica | 1 online resource (237 p.) |
| Disciplina | 624.1/7713 |
| Altri autori (Persone) | XieY. M |
| Soggetto topico |
Structural optimization
Topology |
| ISBN |
9786612548734
9781282548732 1282548735 9780470689486 047068948X 9780470689479 0470689471 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
EVOLUTIONARYTOPOLOGYOPTIMIZATION OFCONTINUUMSTRUCTURES; Contents; Preface; 1 Introduction; 1.1 Structural Optimization; 1.2 Topology Optimization of Continuum Structures; 1.3 ESO/BESO and the Layout of the Book; References; 2 Evolutionary Structural Optimization Method; 2.1 Introduction; 2.2 ESO Based on Stress Level; 2.2.1 Evolutionary Procedure; 2.2.2 Example of Two-bar Frame; 2.2.3 Examples of Michell Type Structures; 2.3 ESO for Stiffness or Displacement Optimization; 2.3.1 Sensitivity Number and Evolutionary Procedure; 2.3.2 Example of a Short Cantilever
2.3.3 Example of a Beam Structure2.4 Conclusion; References; 3 Bi-directional Evolutionary Structural Optimization Method; 3.1 Introduction; 3.2 Problem Statement and Sensitivity Number; 3.2.1 Problem Statement; 3.2.2 Sensitivity Number; 3.3 Filter Scheme and Improved Sensitivity Number; 3.3.1 Checkerboard and Mesh-dependency Problems; 3.3.2 Filter Scheme for BESO Method; 3.3.3 Stabilizing the Evolutionary Process; 3.4 Element Removal/Addition and Convergence Criterion; 3.5 Basic BESO Procedure; 3.6 Examples of BESO Starting from Initial Full Design 3.6.1 Topology Optimization of a Short Cantilever3.6.2 Topology Optimization of a Beam; 3.7 Examples of BESO Starting from Initial Guess Design; 3.8 Example of a 3D Structure; 3.9 Mesh-independence Studies; 3.10 Conclusion; References; 4 BESO Utilizing Material Interpolation Scheme with Penalization; 4.1 Introduction; 4.2 Problem Statement and Material Interpolation Scheme; 4.2.1 Problem Statement; 4.2.2 Material Interpolation Scheme; 4.3 Sensitivity Analysis and Sensitivity Number; 4.3.1 Sensitivity Analysis; 4.3.2 Sensitivity Number; 4.4 Examples 4.4.1 Topology Optimization of a Short Cantilever4.4.2 Topology Optimization of a Beam; 4.4.3 Topology Optimization of a 3D Cantilever; 4.5 Conclusion; Appendix 4.1; References; 5 Comparing BESO with Other Topology Optimization Methods; 5.1 Introduction; 5.2 The SIMP Method; 5.3 Comparing BESO with SIMP; 5.3.1 Comparison of Topology Optimization Algorithms without a Mesh-independency Filter; 5.3.2 Comparison of Topology Optimization Algorithms with a Mesh-independency Filter; 5.3.3 Advantages of the BESO Method and Questions yet to be Resolved 5.4 Discussion on Zhou and Rozvany (2001) Example5.4.1 Introduction of Zhou and Rozvany (2001) Example; 5.4.2 Is it a Nonoptimal or a Local Optimal Solution?; 5.4.3 Avoidance of Highly Inefficient Local Optimum; 5.5 Conclusion; References; 6 BESO for Extended Topology Optimization Problems; 6.1 Introduction; 6.2 Minimizing Structural Volume with a Displacement or Compliance Constraint; 6.2.1 Sensitivity Analysis and Sensitivity Number; 6.2.2 Determination of Structural Volume; 6.2.3 Examples; 6.3 Stiffness Optimization with an Additional Displacement Constraint; 6.3.1 Sensitivity Number 6.3.2 Determination of Lagrangian Multiplier |
| Record Nr. | UNINA-9910828499203321 |
|
Huang X (Xiaodong), <1972->
|
||
| Chichester, West Sussex, U.K. ; ; Hoboken, NJ, : Wiley, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to shape optimization : theory, approximation, and computation / / J. Haslinger, R.A.E. MaÌkinen
| Introduction to shape optimization : theory, approximation, and computation / / J. Haslinger, R.A.E. MaÌkinen |
| Autore | Haslinger J |
| Pubbl/distr/stampa | Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2003 |
| Descrizione fisica | 1 electronic text (xviii, 273 p.) : ill., digital file |
| Disciplina | 624.1/7713 |
| Altri autori (Persone) | MaÌkinenR. A. E |
| Collana | Advances in design and control |
| Soggetto topico | Structural optimization - Mathematics |
| ISBN |
1-68015-788-4
0-89871-869-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Why the mathematical analysis is important -- A mathematical introduction to sizing and shape optimization -- Sensitivity analysis -- Numerical minimization methods -- On automatic differentiation of computer programs -- Fictitious domain methods in shape optimization -- Applications in elasticity -- Fluid mechanical and multidisciplinary applications -- Appendix A: Weak formulations and approximations of elliptic equations and inequalities -- Appendix B: On parametrizations of shapes and mesh generation. |
| Record Nr. | UNINA-9911006786803321 |
|
Haslinger J
|
||
| Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||