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Advanced metaheuristic algorithms and their applications in structural optimization / / Ali Kaveh and Kiarash Biabani Hamedani
| Advanced metaheuristic algorithms and their applications in structural optimization / / Ali Kaveh and Kiarash Biabani Hamedani |
| Autore | Kaveh Ali |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (369 pages) |
| Disciplina | 016.5192 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico | Mathematical optimization |
| ISBN | 3-031-13429-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910595037303321 |
Kaveh Ali
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Chaotic Meta-Heuristic Algorithms for Optimal Design of Structures
| Chaotic Meta-Heuristic Algorithms for Optimal Design of Structures |
| Autore | Kaveh Ali |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2024 |
| Descrizione fisica | 1 online resource (349 pages) |
| Altri autori (Persone) | YousefpoorHossein |
| Collana | Studies in Computational Intelligence Series |
| ISBN | 3-031-48918-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Introduction -- 1.2 Traditional Optimization and Meta-heuristic Optimization -- 1.3 Chaotically Enhanced Meta-heuristic Algorithms -- 1.4 Chaos Embedded Meta-heuristic Algorithms for Optimal Design and Goals of This Book -- 1.5 Organization of the Present Book -- References -- 2 Chaotic Maps and Meta-heuristic Algorithms -- 2.1 Introduction -- 2.2 Chaotic Systems -- 2.2.1 Scientific History of Chaos Theory -- 2.2.2 Characteristics of Chaotic System -- 2.2.3 Bifurcation on Chaotic System -- 2.2.4 Attractor on Chaotic System -- 2.3 Introduction Chaos Maps and Forming Chaos Series -- 2.3.1 Logistic Map -- 2.3.2 Tent Map -- 2.3.3 Gauss Map -- 2.3.4 Liebovitch Map -- 2.3.5 Chebyshev Map -- 2.3.6 Sinusoidal Map -- 2.3.7 Piecewise Map -- 2.3.8 Lorens Attractor System -- 2.4 Chaos Series and Alternative Scenarios -- 2.5 Meta-heuristic Algorithms and Chaos Map -- 2.6 Concluding Remarks -- References -- 3 Chaotic Cyclical Parthenogenesis Algorithm -- 3.1 Introduction -- 3.2 Standard Cyclical Parthenogenesis Algorithm (CPA) -- 3.3 Basic Steps of Cyclical Parthenogenesis Algorithm -- 3.4 Chaos Enhanced Cyclical Parthenogenesis Algorithm (CCPA) -- 3.5 Constructive Role of Chaos Functions in Sensitivity Analysis -- 3.6 Truss Weight Optimization with Static Constraints -- 3.6.1 Formulation of the Structural Optimization Problems -- 3.6.2 Introduction of Selected Chaos Map -- 3.6.3 Numerical Examples of Optimal Truss Design -- 3.7 Truss Weight Optimization with Multiple Frequency Constraints -- 3.7.1 Formulation of the Structural Optimization with Frequency Constraints -- 3.7.2 Introduction of Selected Chaos Map -- 3.7.3 Numerical Examples of Optimal Truss Design -- 3.8 Concluding Remarks -- References -- 4 Chaotic Teaching Learning Based Optimization -- 4.1 Introduction.
4.2 Standard Teaching-Learning-Based Optimization (TLBO) -- 4.3 Basic Steps in Standard Teaching-Learning-Based Optimization -- 4.4 Chaos Enhanced Teaching-Learning-Based Optimization (CTLBO) -- 4.5 Truss Weight Optimization with Static Constraints -- 4.5.1 Formation of the Objective Function and Constraint Conditions -- 4.5.2 Introduction of Selected Chaos Map -- 4.5.3 Numerical Examples of Optimal Truss Design -- 4.6 Truss Weight Optimization with Multiple Frequency Constraints -- 4.6.1 Truss Size and Layout Optimization with Multi Frequency Constraints -- 4.6.2 Introduction of Selected Chaos Map -- 4.6.3 Numerical Examples of Optimal Truss Design -- 4.7 Concluding Remarks -- References -- 5 Chaotic Biogeography Based Optimization -- 5.1 Introduction -- 5.2 Standard Biogeography-Based Optimization (BBO) -- 5.3 Basic Steps of Biogeography-Based Optimization -- 5.4 Chaos Enhanced Biogeography-Based Optimization (CBBO) -- 5.5 Truss Weight Optimization with Static Constraints -- 5.5.1 Formulation of the Structural Optimization Problems -- 5.5.2 Introduction of Selected Chaos Map -- 5.5.3 Numerical Examples of Optimal Truss Design -- 5.6 Truss Weight Optimization with Multiple Frequency Constraints -- 5.6.1 Formulation of the Structural Optimization with Multi-frequency Constraints -- 5.6.2 Numerical Examples of Optimal Truss Design -- 5.7 Concluding Remarks -- References -- 6 Chaotic Differential Evolution -- 6.1 Introduction -- 6.2 Standard Differential Evolution (DE) -- 6.3 Basic Steps of Differential Evolution -- 6.4 Chaos Differential Evolution (CDE) -- 6.5 Truss Weight Optimization with Static Constraints -- 6.5.1 Formulation of the Structural Optimization Problem -- 6.5.2 Numerical Examples -- 6.6 Concluding Remarks -- References -- 7 Chaotic Water Evaporation Optimization -- 7.1 Introduction -- 7.2 Standard Water Evaporation Optimization (WEO). 7.3 Basic Steps in Standard Water Evaporation Optimization (WEO) -- 7.4 Chaos Enhanced Water Evaporation Optimization (CWEO) -- 7.5 Truss Weight Optimization with Static Constraints -- 7.5.1 Statement of the Structural Optimization Problems -- 7.5.2 Introduction of Selected Chaos Map -- 7.5.3 Numerical Examples of Optimal Truss Design -- 7.6 Truss Weight Optimization with Multiple Frequency Constraints -- 7.6.1 Coincidently Size and Topology Optimization of Skeletal Structures -- 7.6.2 Numerical Examples of Optimal Truss Design -- 7.7 Concluding Remarks -- References -- 8 Chaotic Artificial Bees Colony -- 8.1 Introduction -- 8.2 Standard Artificial Bees Colony (ABC) -- 8.3 Basic Steps in Artificial Bees Colony -- 8.4 Chaos Enhanced Artificial Bees Colony (CABC) -- 8.5 Truss Weight Optimization with Static Constraints -- 8.5.1 Formulation for Optimal Design of Skeletal Structures -- 8.5.2 Introduction of Selected Chaos Map -- 8.5.3 Numerical Examples of Optimal Truss Design -- 8.6 Truss Weight Optimization with Multiple Frequency Constraints -- 8.6.1 Formulation of the Structural Optimization with Frequency Constraints -- 8.6.2 Numerical Examples of Optimal Truss Design -- 8.7 Concluding Remarks -- References -- 9 Chaotic Imperialist Competitive Algorithm -- 9.1 Introduction -- 9.2 Standard Imperialist Competitive Algorithm (ICA) -- 9.3 Basic Steps in Imperialist Competitive Algorithm -- 9.4 Chaos-Embedded Imperialist Competitive Algorithm (CICA) -- 9.5 Truss Weight Optimization with Static Constraints -- 9.5.1 Formulation of the Structural Optimization Problems -- 9.5.2 Introduction of Selected Chaos Map -- 9.5.3 Numerical Examples of Optimal Truss Design -- 9.6 Truss Weight Optimization with Multiple Frequency Constraints -- 9.6.1 Formulation of the Structural Size and Layout Optimization with Frequency Constraints. 9.6.2 Numerical Examples of Optimal Truss Design -- 9.7 Concluding Remarks -- References -- 10 Chaotic Shuffled Frog Leaping Algorithm -- 10.1 Introduction -- 10.2 Standard Shuffled Frog-Leaping Algorithm (SFLA) -- 10.3 Basic Steps in Shuffled Frog-Leaping Algorithm -- 10.4 Chaos-Embedded Shuffled Frog-Leaping Algorithm (CSFLA) -- 10.5 Truss Weight Optimization with Static Constraints -- 10.5.1 Formulation of the Structural Optimization Problems -- 10.5.2 Introduction of Selected Chaos Map -- 10.5.3 Numerical Examples of Optimal Truss Design -- 10.6 Truss Weight Optimization with Multiple Frequency Constraints -- 10.6.1 Formulation of the Structural Optimization with Frequency Constraints -- 10.6.2 Numerical Examples of Optimal Truss Design -- 10.7 Concluding Remarks -- References -- 11 Chaotic Particle Swarm Optimization -- 11.1 Introduction -- 11.2 Standard Particle Swarm Optimization (PSO) -- 11.3 Basic Steps in Particle Swarm Optimization -- 11.4 Chaos-Embedded Particle Swarm Optimization (CPSO) -- 11.5 Truss Weight Optimization with Multiple Frequency Constraints -- 11.5.1 Gaussian Map -- 11.5.2 Liebovitch Map -- 11.5.3 Piecewise Map -- 11.6 Formulation of Coincidently Size and Layout Optimization of Truss Structures -- 11.7 Numerical Examples of Optimal Truss Design -- 11.7.1 A Planar 10-Bar Truss -- 11.7.2 A Simply Supported 37-Bar Planar Truss -- 11.7.3 A 120-Bar Spatial Dome -- 11.7.4 A 200-Bar Planar Truss Structure -- 11.8 Concluding Remarks -- References -- 12 Chaotic Tug-of-War Optimization -- 12.1 Introduction -- 12.2 Standard Tug of War Optimization (TWO) -- 12.3 Basic Steps in Tug of War Optimization -- 12.4 Chaos-Embedded Tug of War Optimization (CTWO) -- 12.5 Truss Weight Optimization with Multiple Frequency Constraints -- 12.5.1 Logistics Map -- 12.5.2 Gauss Map. 12.6 Formulation of the Structural Optimization with Frequency Constraints -- 12.6.1 Numerical Examples of Optimal Truss Design -- 12.7 Concluding Remarks -- References -- 13 Chaotic Thermal Exchange Optimization -- 13.1 Introduction -- 13.2 Standard Thermal Exchange Optimization (TEO) -- 13.3 Basic Steps in Thermal Exchange Optimization -- 13.4 Chaos-Embedded Thermal Exchange Optimization (CTEO) -- 13.5 Truss Weight Optimization with Multiple Frequency Constraints -- 13.6 Formulation of the Optimization Problems -- 13.6.1 Free Vibration and Natural Frequencies -- 13.6.2 Formulation Size and Layout Optimization with Multi Frequency Constraints -- 13.7 Numerical Examples of Optimal Truss Design -- 13.7.1 A Simply Supported 37-Bar Planar Truss -- 13.7.2 A 72-Bar Spatial Truss -- 13.7.3 A 120-Bar Spatial Dome -- 13.7.4 A 200-Bar Planar Truss Structure -- 13.8 Concluding Remarks -- References. |
| Record Nr. | UNINA-9910806193003321 |
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Kaveh Ali
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| Cham : , : Springer International Publishing AG, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Meta-heuristic Algorithms for Optimal Design of Real-Size Structures / / by Ali Kaveh, Majid Ilchi Ghazaan
| Meta-heuristic Algorithms for Optimal Design of Real-Size Structures / / by Ali Kaveh, Majid Ilchi Ghazaan |
| Autore | Kaveh Ali |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (172 pages) |
| Disciplina | 624.17713 |
| Soggetto topico |
Applied mathematics
Engineering mathematics Mathematical optimization Mechanical engineering Building construction Mathematical and Computational Engineering Optimization Mechanical Engineering Solid Construction |
| ISBN | 3-319-78780-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Optimization algorithms used in the book -- Optimum design of usual-size skeletal structures -- Optimum design of large-scale special truss structures -- Optimal design of double-layer grids -- Optimal design of double-layer barrel vault space structures -- Optimum design of dome shaped trusses -- Optimal design of steel lattice transmission line towers -- Optimum seismic design of 3D steel frames. |
| Record Nr. | UNINA-9910299937703321 |
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Kaveh Ali
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Metaheuristic Optimization Algorithms in Civil Engineering: New Applications / / by Ali Kaveh, Armin Dadras Eslamlou
| Metaheuristic Optimization Algorithms in Civil Engineering: New Applications / / by Ali Kaveh, Armin Dadras Eslamlou |
| Autore | Kaveh Ali |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (xviii, 374 pages) |
| Disciplina |
519.3
519.6 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Computational intelligence
Buildings—Design and construction Building Construction Engineering, Architectural Artificial intelligence Computational Intelligence Building Construction and Design Artificial Intelligence |
| ISBN | 3-030-45473-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Optimum stacking sequence design of composite laminates for maximum buckling load capacity -- Optimum Design of Castellated Beams with Composite Action and Semi-Rigid Connection -- Optimal Design of Steel Curved Roof Frames by Enhanced Vibrating Particles System Algorithm -- Geometry and sizing optimization of steel pitched roof frames -- Two-Stage Optimal Sensor Placement Using Graph-Theory and Evolutionary Algorithms -- The charged system search algorithm for adaptive node moving refinement in discrete least-squares meshless method -- Performance-based multi-objective optimization of large steel structures -- Optimal Seismic Design of Steel Plate Shear Walls Using CBO and ECBO Algorithms -- Colliding Bodies Optimization Algorithm for Structural Optimization of Offshore Wind Turbines with Frequency Constraints -- Colliding Bodies Optimization for Analysis and Design of Water Distribution Systems -- Optimization of tower crane location and material quantity between supply and demand points -- Optimization of Building Components with SustainabilityAspects in BIM Environment -- Multi-objective optimization of construction site layout -- Multi-objective electrical energy scheduling in smart homes using ant lion optimizer and evidential reasoning. |
| Record Nr. | UNINA-9910484004803321 |
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Kaveh Ali
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Metaheuristics: Outlines, MATLAB Codes and Examples / / by Ali Kaveh, Taha Bakhshpoori
| Metaheuristics: Outlines, MATLAB Codes and Examples / / by Ali Kaveh, Taha Bakhshpoori |
| Autore | Kaveh Ali |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (192 pages) |
| Disciplina | 006.3 |
| Soggetto topico |
Applied mathematics
Engineering mathematics Mathematical optimization Mechanical engineering Building construction Mathematical and Computational Engineering Optimization Mechanical Engineering Solid Construction |
| ISBN | 3-030-04067-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Preliminaries and frameworks -- Artificial bee colony algorithm -- Big bang big crunch algorithm -- Teaching Learning Based Optimization Algorithm -- Imperialist Competitive Algorithm -- Cuckoo search -- Charged system search Algorithm -- Ray Optimization Algorithm -- Colliding Bodies Optimization Algorithm -- Tug-of-war optimization Algorithm -- Water Evaporation Optimization Algorithm -- Vibrating particles system algorithm -- Cyclical parthenogenesis algorithm -- Thermal exchange optimizaton algorithm. |
| Record Nr. | UNINA-9910337633803321 |
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Kaveh Ali
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Optimal analysis of structures by concepts of symmetry and regularity / / A. Kaveh
| Optimal analysis of structures by concepts of symmetry and regularity / / A. Kaveh |
| Autore | Kaveh Ali |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Wien [Vienna] : , : Springer, , 2013 |
| Descrizione fisica | 1 online resource (xvi, 463 pages) : illustrations |
| Disciplina | 624.171 |
| Collana | Gale eBooks |
| Soggetto topico |
Structural analysis (Engineering) - Matrix methods
Structural analysis (Engineering) - Mathematical models |
| ISBN | 3-7091-1565-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction to symmetry and regularity -- Introduction to graph theory and algebraic graph theory -- Graph products and configuration processing -- Canonical forms, basic definitions and properties -- Canonical forms for combinatorial optimization; nodal ordering and graph partitioning -- Graph products for ordering and graph partitioning -- Canonical forms applied to structural mechanics -- Graph products applied to the analysis of regular structures -- Graph products applied to locally modified regular structures by direct methods -- Graph products applied to regular and locally modified regular structures by iterative methods -- Group theory and applications in structural mechanics -- Graph-group method for the analysis of symmetric regular structures. |
| Record Nr. | UNINA-9910741151603321 |
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Kaveh Ali
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| Wien [Vienna] : , : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Structural optimization using shuffled shepherd meta-heuristic algorithm : extensions and applications / / Ali Kaveh and Ataollah Zaerreza
| Structural optimization using shuffled shepherd meta-heuristic algorithm : extensions and applications / / Ali Kaveh and Ataollah Zaerreza |
| Autore | Kaveh Ali |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (288 pages) |
| Disciplina | 519.6 |
| Collana | Studies in Systems, Decision and Control Series |
| Soggetto topico |
Metaheuristics
Industrial applications Structural optimization |
| ISBN | 3-031-25573-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Shuffled shepherd optimization method: a new meta-heuristic algorithm -- Shuffled Shepherd Optimization Method Simplified for Reducing the Parameter Dependency -- An Enhanced Shuffled Shepherd Optimization Algorithm (ESSOA) -- A New Strategy Added to the SSAO for Structural Damage Detection -- Optimum Design of Curve Roof Frames by SSOA and Comparison with TLBO, ECBO, and WSA -- Optimum Design of Castellated Beams Using SSOA and Other Four Meta-Heuristic Algorithms -- An Improved PSO Using the SRM of the ESSOA for Optimum Design of the Frame Structures Using The Force Method -- An Efficient ESSOA for the Reliability Based Design Optimization Using the New Framework -- Reliability-Based Design Optimization of the Frame Structures Using the ESSOA and ERao. |
| Record Nr. | UNINA-9910678251503321 |
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Kaveh Ali
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| Cham, Switzerland : , : Springer, Springer Nature Switzerland AG, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Swift Analysis of Civil Engineering Structures Using Graph Theory Methods / / by Ali Kaveh, Hossein Rahami, Iman Shojaei
| Swift Analysis of Civil Engineering Structures Using Graph Theory Methods / / by Ali Kaveh, Hossein Rahami, Iman Shojaei |
| Autore | Kaveh Ali |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (311 pages) : illustrations |
| Disciplina | 620.00151 |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Engineering mathematics
Civil engineering Engineering Mathematics Civil Engineering |
| ISBN | 3-030-45549-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Definitions from Graph Theory and Graph Products -- Basic Concepts and Definitions of Symmetry and Regularity -- Static Analysis of Near-regular Skeletal Structures: Additional Members -- Static Analysis of Near-regular Skeletal Structures: Additional Nodes -- Static Analysis of Nearly Regular Continuous Domains -- Dynamic Analysis of Near-Regular Structures -- Swift Analysis of Linear and Non-Linear Structures and Applications Using Reanalysis -- Global Near-regular Mechanical Systems -- Mappings for Transformation of Near-Regular Domains to Regular Domains -- Numerical Solution for System of Linear Equations Using Tridiagonal Matrix. |
| Record Nr. | UNINA-9910403763103321 |
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Kaveh Ali
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Topological transformations for efficient structural analysis / / Ali Kaveh
| Topological transformations for efficient structural analysis / / Ali Kaveh |
| Autore | Kaveh Ali |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (198 pages) |
| Disciplina | 624.171 |
| Soggetto topico |
Structural analysis (Engineering) - Mathematics
Topological transformation groups |
| ISBN |
9783031123009
9783031122996 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 The Main Objective of the Present Book -- References -- 2 Introduction to Graph Theory and Algebraic Graph Theory -- 2.1 Basic Concepts and Definitions of Graph Theory -- 2.1.1 Definition of a Graph -- 2.1.2 Adjacency and Incidence -- 2.1.3 Graph Operations -- 2.1.4 Walks, Trails and Paths -- 2.1.5 Cycles and Cutsets -- 2.1.6 Trees, Spanning Trees and Shortest Route Trees -- 2.2 Different Types of Graphs -- 2.3 Vector Spaces of a Graph -- 2.3.1 Cycle Space -- 2.3.2 Cutset Space -- 2.3.3 Cycle Bases Matrices -- 2.3.4 Cutset Bases Matrices -- 2.4 Planar Graphs -- Polyhedron Formula of Euler -- 2.4.1 Planar Graphs -- 2.5 Maximal Matching in Bipartite Graphs -- 2.5.1 Theorems on Matching -- 2.5.2 Maximum Matching -- 2.6 Historical Problem of Graph Theory -- 2.7 Definitions from Algebraic Graph Theory -- 2.7.1 The Adjacency Matrix -- 2.7.2 The Incidence Matrix -- 2.7.3 Incidence Matrix of an Oriented Graph -- 2.7.4 Some Properties of Symmetric Matrices -- 2.7.5 The Laplacian Matrix -- 2.8 Graphs Associated with Matrices -- References -- 3 Embedding Graphs on Lower Dimensional Spaces -- 3.1 Introduction -- 3.2 Graph Drawing for Calculating the DSI of Space Structures -- 3.3 Ordering for Constructing Well Structured Sparse Matrices: Graph Theory Methods -- 3.4 Bandwidth Optimization -- 3.4.1 Preliminaries -- 3.4.2 A Shortest Route Tree and Its Properties -- 3.4.3 Nodal Ordering for Bandwidth Reduction -- 3.5 Finite Element Nodal Ordering -- 3.5.1 Element Clique Graph Method -- 3.5.2 Skeleton Graph Method -- 3.5.3 Element Star Graph Method -- 3.5.4 Element Wheel Graph Method -- 3.5.5 Partially Triangulated Graph Method -- 3.5.6 Triangulated Graph Method -- 3.5.7 Natural Associate Graph Method (NAGM) -- 3.5.8 Incidence Graph Method (INGM) -- 3.5.9 Representative Graph Method (REGM).
3.5.10 Complete Representative Graph Method (REGM) -- 3.6 Graph Models for Meshless Discretization -- 3.6.1 Strongly Connected Associate Graph (SCAG) -- 3.6.2 Partially Connected Associate Graph (PCAG) -- 3.6.3 Weakly Connected Associate Graph (WCAG) -- 3.6.4 Associate Bipartite Graph (ABG) -- References -- 4 Embedding Graphs on Higher Dimensional Spaces -- 4.1 Introduction -- 4.2 Force Method of Structural Analysis -- 4.2.1 Equilibrium Equations -- 4.2.2 Compatibility Equations -- 4.3 Embeddings on Higher Dimensional Spaces -- 4.3.1 Definitions from Topology and Algebraic Topology -- 4.3.2 Orientable 2-Manifolds -- 4.3.3 Simplicial Complexes -- 4.3.4 CW-Complexes -- 4.3.5 Collapsible and Contractible Complexes -- 4.3.6 Homology Group -- 4.4 Cycle Bases Selection: Topological Methods -- 4.4.1 A 2-Dimensional Polyhedron Embedding -- 4.4.2 Admissible Embeddings -- 4.4.3 Modified Manifold Embedding -- 4.4.4 Embedding S on a Union of Disks -- 4.5 Graph-Theoretical Force Method -- References -- 5 Embedding Graphs on Spaces of Identical Dimensions -- 5.1 Introduction -- 5.2 Element Ordering for Frontwidth Reduction -- A Line Graph -- 5.3 Element and Nodal Ordering -- A K-Total Graph -- 5.3.1 Definitions -- 5.3.2 Algorithm for Bandwidth Reduction of Rectangular Matrices -- 5.3.3 Entire Graph -- 5.4 Generalized Cycle Bases -- Interchange Graph -- 5.5 Cycle and Generalized Cycle Basis Ordering -- 5.6 The Rigidity of Planar Trusses -- 5.6.1 Simple, Compound and Complex Trusses -- 5.6.2 The Rigidity of Grid-Shaped Planar Trusses -- 5.6.3 Grids with Diagonal Rods -- 5.6.4 Grid with Diagonal Rods and/or Cables -- 5.6.5 Henneberg Sequence for Examining the Rigidity of Trusses -- 5.6.6 Complete Matching and Rigidity of Trusses -- 5.7 Duality of Cycle Bases and Cut Set Bases -- Dual Graph -- 5.7.1 A Planar Truss and Its Maxwell Diagram as Dual Graphs. 5.7.2 Flow Graph and Potential Graph, and Their Applications -- 5.7.3 Potential Graph and Its Application -- 5.8 Other Applications -- References -- 6 Structural Configuration Generation -- 6.1 Introduction -- 6.2 Algebraic Representation of a Graph in Integer Coordinate System -- 6.3 Representations of Operations on Graphs -- 6.3.1 Addition of Two Subgraphs -- 6.3.2 Subtraction of Two Subgraphs -- 6.4 Some Functions for Configuration Processing -- 6.4.1 Translation Functions -- 6.4.2 Rotation Functions -- 6.4.3 Reflection Functions -- 6.4.4 Projection Functions -- 6.5 Geometry of Structures -- References -- 7 Symmetry Using Linear Algebra and Graph Theory -- 7.1 Introduction -- 7.2 Basic Definitions -- 7.2.1 Basic Concepts from the Theory of Graphs -- 7.2.2 Basic Definitions from Linear Algebra -- 7.2.3 Definitions from Algebraic Graph Theory -- 7.3 Canonical Forms of a Matrix -- 7.3.1 Form I -- 7.3.2 Form II -- 7.3.3 Form III -- 7.3.4 Form IV -- 7.4 A Canonical Form Associated with Rotationally Repetitive Structures -- 7.5 Different Kinds of Symmetry -- 7.5.1 Form I Symmetry -- 7.5.2 Form II Symmetry -- 7.5.3 Form III Symmetry -- 7.6 The Form Associated with Rotationally Repetitive Structures -- 7.7 The Relations Between the Canonical Forms -- 7.7.1 The Relation Between the Form I and Form II -- 7.7.2 The Relation Between the Form II and Form III -- 7.7.3 The Relation Between the Form IV and Form III -- 7.8 The Relation Between the Canonical Form II and the Form Associated with Rotationally Repetitive Structures -- 7.9 Examples -- 7.10 Concluding Remarks -- References -- 8 Complementary Space of Graphs -- 8.1 Introduction -- 8.2 Theorems for Graph Partitioning -- 8.3 Largest Eigenvector of the Complementary Laplacian Matrix -- 8.4 Numerical Results -- 8.5 Concluding Remarks -- References. 9 Miscellaneous Applications Graph Problems Using Meta-Heuristic Algorithms -- 9.1 Introduction -- 9.2 Optimal Domain Decomposition Using Colliding Bodies Optimization and k-median Method -- 9.2.1 The Formulation of the CBO Algorithm -- 9.2.2 Mathematical Formulation of the k-median Problem -- 9.2.3 Numerical Examples -- 9.2.4 Results and Discussion on Examples -- 9.2.5 Concluding Remarks -- 9.3 Simulated Annealing Algorithm for Selecting Suboptimal Cycle Basis of a Graph -- 9.3.1 Definitions from Theory of Graphs -- 9.3.2 Simulated Annealing Algorithm -- 9.3.3 Simulated Annealing Algorithm for the Formation of a Suboptimal Cycle Basis -- 9.3.4 Generating the Initial Cycle Basis -- 9.3.5 Generating a Neighbor Solution -- 9.3.6 Reannealing (Restarting) -- 9.3.7 Algorithm Parameters -- 9.3.8 Examples -- 9.3.9 Conclusions -- 9.4 Further Miscellaneous Applications -- 9.4.1 Size Reduction Transformation -- References. |
| Record Nr. | UNINA-9910620195603321 |
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Kaveh Ali
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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