Topology synthesis of multi-material compliant mechanisms with a Sequential Element Rejection and Admission method

Alonso, Cristina; Ansola, Rubén; Querin, Osvaldo M.

doi:10.1016/j.finel.2013.11.006

Cited by 26 publications

(18 citation statements)

References 24 publications

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“…Additionally, from Figure , it can be found that a localized strong material area appears on the compliant member, even though it is enclosed entirely by the weak material. This agrees well with the designs in the works about multi‐material topology optimization of compliant mechanisms …”

Section: Numerical Examplessupporting

confidence: 90%

“…In their work, the color‐level set method is employed to represent the multi‐material phases, and the objective is to maximize the mechanical advantage subject to the volume and input displacement constraints. The topology design of multi‐material compliant mechanisms by the multiple Sequential Element Rejection and Admission (SERA) method is presented in the work by Alonso et al The optimization is conducted to maximize the mutual potential energy subject to M constraints on the target volume fraction of the M materials. A bi‐level hierarchical optimization method is introduced to address the multi‐material design of compliant mechanisms in the work by Wang et al The hierarchical optimization develops decomposition approaches allowing the original complex multi‐material optimization problem to be reduced to a set of low‐order single‐material optimization sub‐problems.…”

Section: Introductionmentioning

confidence: 99%

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Stress‐based multi‐material topology optimization of compliant mechanisms

Chu

Gao

Xiao

et al. 2017

Numerical Meth Engineering

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In this paper, a level-set-based method is presented to deal with the multi-material topology optimization of compliant mechanisms with stress constraints. A novel stress-based multi-material topology optimization model of compliant mechanisms is proposed. In this model, the multi-material level set topology description model and the separable stress interpolation scheme are adopted.The weighted sum method is used to deal with the multi-objective optimization of the output displacement and compliance of compliant mechanisms. The penalty of stresses is also considered in the objective function to control the local stress level in different materials. To solve the optimization problem, the parametric level set method is employed, and the sensitivity analysis is conducted. Application of the method is demonstrated by 2 numerical examples. Results show that the multi-material structures without undesirable de facto hinges can be obtained. The output displacement and compliance of the compliant mechanisms are optimized, and stress constraints in different materials are simultaneously satisfied. KEYWORDS compliant mechanisms, level set method, multi-material topology optimization, stress constraint 1 | INTRODUCTION Compliant mechanisms are defined as those which utilize the deformation of the flexible pieces to transfer motion, force, and energy. 1 In the last 20 years, topology optimization of compliant mechanisms is always attracting great attention. 2-4 There are 2 kinds of compliant mechanisms: lumped compliant mechanisms and distributed compliant mechanisms.The flexibility of the lumped compliant mechanisms is mainly derived from the localized areas (ie, hinge areas), 5 while the flexibility of the distributed compliant mechanisms is provided by the whole mechanism. 6 Whether lumped or distributed compliant mechanisms are optimal is a long standing and still open question in the field. 7 One issue is certain; however, there are 2 main difficulties in the topology design of the compliant mechanisms, namely the combination of the stiffness and flexibility, and the control of the stress level. 8 Compliant mechanisms should be stiff enough to support the applied loads and flexible enough to meet the kinematic requirements at the same time. The methods of dealing with the topology optimization of compliant mechanisms can be classified into 2 categories. The first one is to maximize some kinds of mechanical measurements, including mechanical advantage, 9 geometrical advantage, 10,11 mechanical efficiency, 12 and output displacement. 7,13 A comparative study of the above formulations for the topology optimization of compliant mechanisms is given in the work by Deepak et al. 14 The second handling method is considering a multi-objective topology optimization based on both the stiffness

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Section: Numerical Examplessupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Stress‐based multi‐material topology optimization of compliant mechanisms

Chu

Gao

Xiao

et al. 2017

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…The maximum value of compliance,C, is equal to the compliance of the initial design where all element densities are equal toM, and x 1 = 1 (for the FGM problems). The third constraint is on the max local stresses in m regions as defined in (16), where m = 4 and m = 5 for the gripper and inverter designs respectively. Note that different m values were used for the convenience of having the same number of elements in each region -as the two problems had a different number of elements in their finite element mesh, we sought values of m such that N e is divisible by m and 4 ≤ m ≤ 8.…”

Section: Compliant Mechanismsmentioning

confidence: 99%

“…Yin et al [18] used a density based peak function interpolation which requires only one design variable per element. Wang et al and Alonso et al implemented a level-set method [19] and a SERA method [16], respectively which were both applied to multi-material compliant mechanism designs. By using multiple materials it is possible to reduce stress concentrations, however when discrete materials are used a stress concentration can be produced across the interface between materials [21].…”

Section: Introductionmentioning

confidence: 99%

A stress-based topology optimization method for heterogeneous structures

Conlan-Smith

James

2019

Struct Multidisc Optim

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“…Yin et al [7] used a peak function method to design multi-material compliant mechanisms. Alonso et al [8] adopted the sequential element rejection and admission method to produce compliant mechanism with multiple materials. Gaynor et al [9] proposed a topological design and fabrication process for multiple materials compliant structures.…”

Section: Introductionmentioning

confidence: 99%

Topological Design of Compliant Mechanisms with Multiple Materials

Zhan¹,

Long²,

Lin³

et al. 2017

Proceedings of the 2017 2nd International Conference on Automation, Mechanical and Electrical Engineering (AMEE 2017)

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Abstract-In order to obtain better mechanical properties by exploiting the advantages of different materials, a topological design meth od of compliant mechanisms multiple materials was proposed. The multiple materials interpolation model for topological design of compliant mechanisms was established using the generalized Solid Isotropic Material with Penalization method. The objective function was developed maximizing the output displacement, and the structural volume was restricted. The adjoint approach is applied to perform the sensitivity analysis. The improved filter technique was applied to modify the sensitivities in order to avoid the avoid the numerical instability phenomenon. The method of moving asymptotes was used to solve the topological optimization problem. The numerical examples were given to illustrate that the proposed method is correct and effective. The result shows that multiple materials compliant mechanisms has better mechanical performance than single-phase material compliant mechanisms.

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Topology synthesis of multi-material compliant mechanisms with a Sequential Element Rejection and Admission method

Cited by 26 publications

References 24 publications

Stress‐based multi‐material topology optimization of compliant mechanisms

Stress‐based multi‐material topology optimization of compliant mechanisms

A stress-based topology optimization method for heterogeneous structures

Topological Design of Compliant Mechanisms with Multiple Materials

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