Design optimization method for compliant mechanisms and material microstructure

Kikuchi, Noboru; Nishiwaki, Shinji; Fonseca, Jun Sergio Ono; Silva, Emílio C. Nelli

doi:10.1016/s0045-7825(97)00161-8

Cited by 58 publications

(16 citation statements)

References 12 publications

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“…As there is only one active constraint (the material resource constraint), the OC method can be used to provide more rapid convergence when compared with the sequential linear programming algorithm [15,16]. This shows that the OC method is the suitable method over the other methods as discussed by Kikuchi and Nishiwaki (1998) Normally, the topology optimization is carried out using ANSYS topological optimization tool or MATLAB software. This involves the following stages, viz, preprocessor, Solution and Post processor [17,18].…”

Section: Optimality Criteria (Oc) Methodsmentioning

confidence: 99%

Design and Optimal Synthesis of Compliant Mechanisms - an Optimality Criteria Approach

Arunkumar¹,

Tjprc²

2018

IJMPERD

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Compliant mechanisms can be viewed as a single elastic continuum and gain mobility from the deflection of flexible members, rather than links and Joints. Compliant Mechanisms are modeled using the methods of continuum solid mechanics, rather than rigid body kinematics. Structural Optimization techniques can be adopted for compliant mechanism design. The geometric structure of a compliant mechanism and the properties of the material it is made of determine its force and motion transmission capability. Design of compliant mechanisms, then becomes an inverse problem wherein, the geometry of the flexible material continuum for a given material is to be obtained for prescribed force and displacement specifications. Continuous Optimization methods are employed in solving this inverse problem.The unique feature of this design method is that, optimal solutions of the compliant mechanisms can be generated automatically to obtain desired force-deflection behavior. No decisions are made about this physical form of the compliant mechanism at the outset, except specifying the space in which it should fit. The optimization algorithm generates the best solution for a given problem specification. The solutions obtained in this manner have adequate details to generate the manufacturing information automatically, in the form of computer numerically controlled machine code, for macro devices.

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Section: Optimality Criteria (Oc) Methodsmentioning

confidence: 99%

Design and Optimal Synthesis of Compliant Mechanisms - an Optimality Criteria Approach

Arunkumar¹,

Tjprc²

2018

IJMPERD

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“…Although the loads described in the model were the same with those in the DPB of the case , the loadings were different from the real situation because the output force P O had influence on the X O and the P O should be considered into the calculation of X O . Frecker et al (1997) and Kikuchi et al (1998) also considered the same loadings in their designs. Hetrick (1999) also used two loadings, though, in a different way.…”

Section: Boundary Conditionsmentioning

confidence: 99%

On understanding of design problem formulation for compliant mechanisms through topology optimization

2013

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Abstract. General problems associated with the design of compliant mechanisms through the topology optimization technique are defined in this paper due to the lack of comprehensive definitions for these problems in the literature. Standard design problems associated with rigid body mechanisms, i.e. function generation, path generation and motion generation, are extended to compliant mechanisms. Functional requirements and the associated 25 formulations in the literature are comprehensively reviewed along with their limitations. Based on whether the output is controlled quantitatively or not, these formulations are categorized into two types: (1) formulations for quantitative design; and (2) formulations for qualitative design. In addition, formulations that aim to solve the point flexure problem are also discussed. Future work is identified based on the discussion of each topic.

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“…(3)-(7), a number of techniques have been developed, including ground structure (Ananthasuresh et al, 1994;Frecker et al, 1997), homogenization method (Kikuchi et al, 1998), simple isotropic material with penalization (SIMP) (Sigmund, 1997), and level set method . While different in their representation and optimization schemes, these methods are all rooted in the research on structural topology optimization that has been developed into an industrial technology with commercial success (Bendsoe and Sigmund, 2003).…”

Section: Design Formulationsmentioning

confidence: 99%

Compliant Mechanism Optimization: Analysis and Design with Intrinsic Characteristic Stiffness

Wang

Chen

2009

Mechanics Based Design of Structures and Machines

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This article focuses on design formulation of compliant mechanisms posed as a topology optimization problem. With the use of linear elasticity theory, a single-input, single-output compliant mechanism is represented by the stiffness matrix of its structure with respect to the input-output ports. It is shown that the stiffness model captures the intrinsic stiffness properties of the mechanism. Furthermore, in order for the optimization problem to be properly defined, it is necessary that the stiffness matrix of the mechanism's structure must be guaranteed to be always positive definite. An exploratory design formulation is then presented based on this necessary condition. Numerical examples are provided to illustrate the potential benefits of using the intrinsic stiffness properties for compliant mechanism design with topology optimization techniques.

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Design optimization method for compliant mechanisms and material microstructure

Cited by 58 publications

References 12 publications

Design and Optimal Synthesis of Compliant Mechanisms - an Optimality Criteria Approach

Design and Optimal Synthesis of Compliant Mechanisms - an Optimality Criteria Approach

On understanding of design problem formulation for compliant mechanisms through topology optimization

Compliant Mechanism Optimization: Analysis and Design with Intrinsic Characteristic Stiffness

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