Topology Optimization of Compliant Mechanisms with Geometrical Nonlinearities Using the Ground Structure Approach

Zhan, Jinqing

doi:10.3901/cjme.2011.02.257

Cited by 16 publications

(7 citation statements)

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“…Within the existing multi-material interpolation methods such as extended solid isotropic material with penalization (SIMP) [9], the Young's modulus of the optional materials with respect to design variables are generally interpolated and assigned to a single finite element. However, only one stress value per element can be evaluated in this approach.…”

Section: Materials Interpolation Methodsmentioning

confidence: 99%

“…Ananthasuresh et al [8] firstly introduced the homogenization method into the topological design of compliant mechanisms, which provided a new idea for designing compliant mechanisms. Thereafter, various topology optimization methods such as ground structure method [9], solid isotropic material with penalization [10,11], level set method [12,13], evolutionary structural optimization [14,15] and moving morphable components-based framework [16] were developed to design compliant mechanisms. Great progress has been gained in the topological design of compliant mechanisms.…”

Section: Introductionmentioning

confidence: 99%

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Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints

Zhan

Luo

et al. 2021

Micromachines

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This paper presents an approach for the topological design of multi-material compliant mechanisms with global stress constraints. The element stacking method and the separable stress interpolation scheme are applied to calculate the element stiffness and element stress of multi-material structures. The output displacement of multi-material compliant mechanisms is maximized under the constraints of the maximum stress and the structural volume of each material. The modified P-norm method is applied to aggregate the local von Mises stress constraints for all the finite elements to a global stress constraint. The sensitivities are calculated by the adjoint method, and the method of moving asymptotes is utilized to update the optimization problem. Several numerical examples are presented to demonstrate the effectiveness of the proposed method. The appearance of the de facto hinges in the optimal mechanisms can be suppressed effectively by using the topology optimization model with global stress constraints, and the stress constraints for each material can be met.

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Section: Materials Interpolation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints

Zhan

Luo

et al. 2021

Micromachines

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“…Therefore, compliant mechanisms are widely used in fields such as precision engineering, micro/nano manufacturing, biomedical devices and microelectromechanical systems. 4,5 The design methods of compliant mechanisms generally include the pseudo-rigid-body model 6,7 and the topology optimization method. 8,9 The pseudo-rigidbody method is often applied to design lumped compliant mechanisms with flexure hinges, and the design process need to begin with a known rigid mechanism.…”

Section: Introductionmentioning

confidence: 99%

Multi-material topology optimization of large-displacement compliant mechanisms considering material-dependent boundary condition

Zhan

Sun

Liu

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Multi-material compliant mechanisms design enables potential design possibilities by exploiting the advantages of different materials. To satisfy mechanical/thermal impedance matching requirements, a method for multi-material topology optimization of large-displacement compliant mechanisms considering material-dependent boundary condition is presented in this study. In the optimization model, the element stacking method is employed to describe the material distribution and handle material-dependent boundary condition. The maximization of the output displacement of the compliant mechanism is developed as the objective function and the structural volume of each material is the constraint. Fictitious domain approach is applied to circumvent the numerical instabilities in topology optimization problem with geometrical nonlinearities. The method of moving asymptotes is applied to solve the optimization problem. Several numerical examples are presented to demonstrate the validity of the proposed method. The optimal topologies of the compliant mechanisms obtained by the proposed method can satisfy the specified material-dependent boundary condition.

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“…2,[4][5][6][7] As one of the most challenging tasks in the optimization design, topology optimization has been deeply explored and applied to a variety of design problems, for example, the minimum mean compliance problem, 8 the vehicle component design problems, 9 and the top-down structural assembly synthesis problem. 10 During the last decades, several methods have been developed, such as the ground structure method, [11][12][13] the solid isotropic material with penalization (SIMP) method, 8,14 and the level set method. [15][16][17] At the very beginning, the level set method was developed for numerically tracking fronts and free boundaries.…”

Section: Introductionmentioning

confidence: 99%

An augmented formulation of distributed compliant mechanism optimization using a level set method

Zhu

2016

Advances in Mechanical Engineering

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Topology optimization has emerged as one of the key approaches to design compliant mechanisms. However, one of the main difficulties is that the resulted compliant mechanisms often have de facto hinges. For this reason, a simple yet efficient formulation for designing hinge-free compliant mechanisms is developed and examined within a level set-based topology optimization framework. First, the conventional objective function is augmented using an output stiffness. Second, the proposed formulation is solved using a level set method for designing some benchmark problems in the literature. It is shown that the proposed augmented objective function can prevent the de facto hinges in the obtained compliant mechanisms. Finally, some concluding remarks and future work are put forward.

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Topology Optimization of Compliant Mechanisms with Geometrical Nonlinearities Using the Ground Structure Approach

Cited by 16 publications

References 0 publications

Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints

Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints

Multi-material topology optimization of large-displacement compliant mechanisms considering material-dependent boundary condition

An augmented formulation of distributed compliant mechanism optimization using a level set method

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