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Author: Łukasz Łaniewski-Wołłk
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Łukasz Łaniewski-Wołłk
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Sebastian Arlund Nørgaard
Publisher:
ISBN: 9788774755067
Category :
Languages : en
Pages :
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Author: Sebastian Arlund Nørgaard
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Martin Philip Bendsoe
Publisher: Springer Science & Business Media
ISBN: 3662050862
Category : Mathematics
Languages : en
Pages : 381
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Book Description
The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.
Author: Nils Tångefjord Basse
Publisher: MDPI
ISBN: 3039364413
Category : Technology & Engineering
Languages : en
Pages : 190
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Book Description
Flow-based optimization of products and devices is an immature field compared to the corresponding topology optimization based on solid mechanics. However, it is an essential part of component development with both internal and/or external flow. The aim of this book is two-fold: (i) to provide state-of-the-art examples of flow-based optimization and (ii) to present a review of topology optimization for fluid-based problems.
Author: Cunfu Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 225
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Book Description
Topology optimization is a computational method that can find optimal material distribution within a given design domain to improve the desired performances of systems. In past three decades, density-based topology optimization has been widely applied to problems in structures, fluids, heat transfer, electromagnetic and multiphysics problems where complex and intricate shapes are often obtained from the optimization process. However, there is no explicit boundary involved in the density-based topology optimization. This fact leads to difficulties in problems requiring boundary information, such as controlling boundary slope to reduce support structures in additive manufacturing and imposing boundary loading that depends on topological layouts of the design. In this work, density gradient approaches are proposed to control boundary slope for additive manufacturing and impose design-dependent boundary loads in density-based topology optimization. The spatial gradient of density (or density gradient) enable us to implicitly control boundary since it is non-zero on the solid/void interface and vanishes elsewhere in the design domain. In the design for additive manufacturing(AM), we have used density gradient to control boundary slope for both self-support and surface roughness, optimize build orientation and parts simultaneously to reduce support structures, and find the optimal topological layout of supports for heat dissipation. By constraining the minimal boundary slope, support structures can be eliminated or reduced for AM, and thus material and post-processing costs are reduced; by constraining the maximal boundary slope, high surface roughness can be attained, and thus the heat transfer efficiency is increased. In this research, the boundary slope is controlled through constraints between the density gradient and the given build direction. These local constraints on boundary slope control are casted into two single global constraints through the Heaviside projection integral (HPI) of density gradient. While the HPI is differentiable to the build orientation, it allows us to find the optimal build orientation and topology simultaneously to reduce support structures in additive manufacturing. Furthermore, a variation of the HPI formulation has proven able to model the boundary-dependent heat flux from part to the supports during the additive manufacturing process. This fact enables us to optimize topological layouts of support structures for heat dissipation. Numerical examples on 2D and 3D heat conduction problems, linear elasticity problems and thermoelastic problems demonstrate the effectiveness and efficiency of the proposed formulations in controlling boundary slopes, finding the optimal build orientation and optimizing support structures for additive manufacturing. Experimental results from 3D printed metal parts confirm that our boundary slope based formulations are effective for controlling part self-support during printing and for affecting surface roughness of the printed parts. A density gradient approach is also proposed to topology optimization under design-dependent boundary loading. The design-dependent boundary loads are implicitly imposed through a volume integral of density gradient, which is justified by its connections to the smoothed boundary method for solving partial differential equations. During the optimization, density filtering, the Heaviside projection and loading refinement are combined to control the thickness of the loading interface and the number of elements within it for accuracy and efficiency. For problems with loads on certain subsets of the solid/void interfaces, an auxiliary density field is introduced to separate the loading and non-loading interfaces. Numerical examples on heat conduction, linear elasticity and coupled thermoelastic problems are presented to demonstrate the validity and efficacy of the proposed approach. The proposed approaches for boundary slope control and density-dependent boundary loading are applied to the design of thermophotonic materials for passive radiative cooling, which can cool below the ambient without the input of external energy. Density gradient based boundary loading is applied to impose design-dependent boundary convection. Density gradient based boundary slope constraints are also proposed to obtain layer-wise design for better manufacturability. Numerical examples on photonic problem and coupled thermophotonic problem are presented to demonstrate the validity of the proposed formulations.
Author: Max D. Gunzburger
Publisher: SIAM
ISBN: 089871527X
Category : Science
Languages : en
Pages : 273
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Book Description
Introduces several approaches for solving flow control and optimization problems through the use of modern methods.
Author: Bijan Mohammadi
Publisher: Oxford University Press
ISBN: 0199546908
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Contents: PREFACE; ACKNOWLEDGEMENTS; 1. Introduction; 2. Optimal shape design; 3. Partial differential equations for fluids; 4. Some numerical methods for fluids; 5. Sensitivity evaluation and automatic differentiation; 6. Parameterization and implementation issues; 7. Local and global optimization; 8. Incomplete sensitivities; 9. Consistent approximations and approximate gradients; 10. Numerical results on shape optimization; 11. Control of unsteady flows; 12. From airplane design to microfluidic; 13. Toplogical optimization for fluids; 14. Conclusion and perspectives; INDEX.
Author: David Allen Meyer
Publisher:
ISBN:
Category : Computational fluid dynamics
Languages : en
Pages : 150
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Author: S. Succi
Publisher: Oxford University Press
ISBN: 9780198503989
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.
