Journal ArticleDOI
A new boundary search scheme for topology optimization of continuum structures with design-dependent loads
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In this article, an element-based search scheme is introduced to identify the load surface in a topology optimization of continuum structures with design-dependent loads, where the load surfaces are formed by the connection of the real boundary of elements and the pressures are transferred directly to corresponding element nodes.Abstract:
The identification of the load surface is a key problem in solving topology optimization of continuum structures with design-dependent loads. In this paper, an element-based search scheme is introduced to identify the load surface. The load surfaces are formed by the connection of the real boundary of elements and the pressures are transferred directly to corresponding element nodes. The search scheme is very convenient to apply and is found to be efficient and effective in identifying the load surfaces. Only slight modifications to the load codes in the routine procedure are required and there is no need to calculate the sensitivities of the load with respect to the material density changes. Numerical examples are presented to demonstrate the efficiency of the boundary search scheme.read more
Citations
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Journal ArticleDOI
A survey of structural and multidisciplinary continuum topology optimization: post 2000
TL;DR: Topology optimization is the process of determining the optimal layout of material and connectivity inside a design domain this paper, which is the same as the problem of finding the optimal configuration of a set of components.
Journal ArticleDOI
Stress-constrained topology optimization with design-dependent loading
TL;DR: In this paper, a stress-relaxation technique is used to avoid the singularity in the stress constraints, and these constraints are aggregated in blocks to reduce the total number of constraints in the optimization problem.
Journal ArticleDOI
Structural topology optimization with design-dependent pressure loads
TL;DR: In this paper, the authors proposed a material boundary identification scheme by iteratively connecting points of equal density, with the use of a predefined void region, which allows the structure to be loaded by pressure from outside the domain, as well as by pressure that is completely enclosed within the domain.
Journal ArticleDOI
Topology optimization with pressure load through a level set method
TL;DR: In this article, the free boundary and the pressure boundary of a structure are represented separately as two zero-level sets of two level set functions, and they are independently propagated during the optimization by solving two Hamilton-Jacobi equations.
Journal ArticleDOI
Bi-directional evolutionary structural optimization for design-dependent fluid pressure loading problems
TL;DR: In this article, an evolutionary topology optimization method for compliance minimization of structures under design-dependent pressure loads is presented, where pressure loads are modelled with hydrostatic fluid finite elements.
References
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Journal ArticleDOI
Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more
TL;DR: In this article, the authors present a methodology for optimal shape design based on homogenization, which is related to modern production techniques and consists of computing the optimal distribution in space of an anisotropic material that is constructed by introducing an infimum of periodically distributed small holes in a given homogeneous, i.i.
Book
Topology Optimization: Theory, Methods, and Applications
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors proposed a topology optimization by distribution of isotropic material for truss structures with anisotropic materials, based on the topology design of truss structure.
Journal ArticleDOI
The method of moving asymptotes—a new method for structural optimization
TL;DR: In this article, a new method for non-linear programming in general and structural optimization in particular is presented, in which a strictly convex approximating subproblem is generated and solved.
Journal ArticleDOI
Optimal shape design as a material distribution problem
TL;DR: In this article, various ways of removing this discrete nature of the problem by the introduction of a density function that is a continuous design variable are described. But none of these methods can be used for shape optimization in a general setting.
Journal ArticleDOI
The COC algorithm, Part II: Topological, geometrical and generalized shape optimization
Ming Zhou,George I. N. Rozvany +1 more
TL;DR: In this paper, the COC algorithm is applied to the simultaneous optimization of the topology and geometry of trusses with many thousand potential members, and numerical results obtained are shown to be in close agreement with analytical results.