Design of multi-component structural systems for optimal layout topology and joint locations

Chickermane, Hemant; Gea, Hae Chang

doi:10.1007/bf01200050

Cited by 69 publications

(32 citation statements)

References 12 publications

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“…a physical interpretation for all feasible solutions of the topology optimization problem. The drawback of this approach is that the penalization removes the model completely from the one proposed in Reference [19].…”

Section: Microstructure Modelmentioning

confidence: 97%

“…Here, we consider the microstructure model proposed in Reference [19], which is characterized by a porous material with spherical micro-voids embedded in a solid material matrix. The e ective material properties consist in a simple analytical expression for the 3D homogenized constitutive equation that is a function of the relative density of the material.…”

Section: Microstructure Modelmentioning

confidence: 99%

“…Here, H = {u(x) ∈ H 1 ( ) | u(x) = 0 at x ∈ u } and D H ( ) is the homogenized constitutive equation of the material with a porous microstructure [19].…”

Section: Deÿnition Of the Problemmentioning

confidence: 99%

“…We consider the layout optimization method to be based on the material approach proposed in References [13][14][15][16][17][18]. Here we make use of the microstructure model proposed in Reference [19], which consists of spherical micro-voids embedded in a solid material. This model leads to a simple analytical expression for the 3D homogenized constitutive equation that depends only on the relative density of the material.…”

Section: Introductionmentioning

confidence: 99%

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Layout optimization with h‐adaptivity of structures

Costa

Alves

2003

Numerical Meth Engineering

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SUMMARYIn this paper, we propose a new procedure for the layout optimization of structures making use of h-adaptive methods. The method combines the topology optimization and the existing h-adaptive ÿnite element methods in order to: (i) improve the deÿnition of the material boundary, i.e. the contour between the material and void regions; (ii) reduce the e ective number of design variables; and (iii) bound the relative solution error. The reÿnement strategy is applied to a given element if: (a) the measure of the quality of the element is below a given lower bound; (b) the element is a 'material element' or has a side which forms the 'material boundary' of the given optimum layout; and (c) the element average error estimate is larger than a multiple of the average error of the mesh. After the h-adaptive reÿnement, the mesh quality is improved with the application of a conditional Laplacian smoothing process. The formulation of the optimization problem is deÿned by the minimization of the compliance of the structure subjected to a volume and side constraints. The design variable is then the average density of the material, which is considered to be constant within each ÿnite element.

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Section: Microstructure Modelmentioning

confidence: 97%

Section: Microstructure Modelmentioning

confidence: 99%

“…Here, H = {u(x) ∈ H 1 ( ) | u(x) = 0 at x ∈ u } and D H ( ) is the homogenized constitutive equation of the material with a porous microstructure [19].…”

Section: Deÿnition Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Layout optimization with h‐adaptivity of structures

Costa

Alves

2003

Numerical Meth Engineering

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“…Some numerical examples of the latter were presented by Jiang and Chirehdast [14], Buhl [15], Zhu and Zhang [16] to solve structural stiffness, compliant mechanism and natural frequency problems. By constraining the material volume and the number of interconnections, Chickermane and Gea [17], Qian and Ananthasuresh [18] assigned each component and their joints as sub-design domains in topology optimization, respectively.…”

Section: Introductionmentioning

confidence: 99%

Multi-component layout design with coupled shape and topology optimization

Zhu

Zhang

Beckers

2008

Int. J. Simul. Multidisci. Des. Optim.

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-A Coupled Shape and Topology Optimization (CSTO) method is proposed here to deal with the layout design of the multi-component system. Considering a complex packing system for which several components will be placed in a container of specific shape, the aim of the design procedure is to find the optimal location and orientation of each component as well as the configuration of the structure that supports and interconnects the components. Compared with existing packing design approaches, two significant improvements are made in the CSTO method. On the one hand, a new Finite-circle Method (FCM) is used here to discretize boundaries of all components and the container into a number of circumcircles. Hence geometric constraints can be suitably modelled to avoid the overlap among the components as well as the overlap between the components and the container contour. Besides, the FCM approximation is also convenient to deal with components and the container with concave or some other complex shapes. On the other hand, the design procedure is able to take into account the mechanical performances of the structural system. Here, the location and the orientation of the components will be updated to improve the system rigidity by using shape optimization procedure. Meanwhile, the optimal material layout of the supporting structure in the design domain is designed by topology optimization. Due to the iterative movement of components, the technique of the embedded mesh is used to update the local FE mesh around each component in the design domain and pseudo density design variables assigned to density points instead of finite elements will be used to follow such a FE mesh variation. Several design problems are tested in this paper, and numerical results show the proposed CSTO method extends the actual concept of topology optimization and is efficient to generate reasonable design patterns.

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Integrated layout design of multi‐component system

Zhu

Zhang

Beckers

2008

Numerical Meth Engineering

122

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SUMMARYA new integrated layout optimization method is proposed here for the design of multi-component systems. By introducing movable components into the design domain, the components layout and the supporting structural topology are optimized simultaneously. The developed design procedure mainly consists of three parts: (i) Introduction of non-overlap constraints between components. The finite circle method (FCM) is used to avoid the components overlaps and also overlaps between components and the design domain boundaries. (ii) Layout optimization of the components and supporting structure. Locations and orientations of the components are assumed as geometrical design variables for the optimal placement while topology design variables of the supporting structure are defined by the density points. Meanwhile, embedded meshing techniques are developed to take into account the finite element mesh change caused by the component movements. (iii) Consistent material interpolation scheme between element stiffness and inertial load. The commonly used solid isotropic material with penalization model is improved to avoid the singularity of localized deformation in the presence of design dependent loading when the element stiffness and the involved inertial load are weakened by the element material removal.Finally, to validate the proposed design procedure, a variety of multi-component system layout design problems are tested and solved on account of inertia loads and gravity center position constraint. Solutions are compared with traditional topology designs without component.

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Design of multi-component structural systems for optimal layout topology and joint locations

Cited by 69 publications

References 12 publications

Layout optimization with h‐adaptivity of structures

Layout optimization with h‐adaptivity of structures

Multi-component layout design with coupled shape and topology optimization

Integrated layout design of multi‐component system

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