Topology synthesis of large‐displacement compliant mechanisms

Pedersen, Claus; Buhl, Thomas; Sigmund, Ole

doi:10.1002/nme.148

Cited by 398 publications

(220 citation statements)

References 26 publications

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“…As it can be observed, in both cases, the three materials are efficiently distributed in the design domain. The authors are aware of the need for a nonlinear analysis when large displacements are considered in compliant mechanisms [22,23]. However, for the purpose of studying the validity of the method, a linear analysis has proven to be a good approximation as all examples exhibit small displacements.…”

Section: Fig 13 Gripper Mechanisms (All Dimensions Are In Mm)mentioning

confidence: 99%

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

Alonso

Ansola

Querin

2014

Finite Elements in Analysis and Design

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The design of multi-material compliant mechanisms by means of a multi Sequential Element Rejection and Admission (SERA) method is presented in this work. The SERA procedure was successfully applied to the design of single-material compliant mechanisms. The main feature is that the method allows material to flow between different material models. Separate criteria for the rejection and admission of elements allow material to redistribute between the pre-defined material models and efficiently achieve the optimum design. These features differentiate it to other bi-directional discrete methods, making the SERA method very suitable for the design of multimaterial compliant mechanisms. Numerous examples are presented to show the validity of the multi SERA procedure to design multi-material compliant mechanisms.

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Section: Fig 13 Gripper Mechanisms (All Dimensions Are In Mm)mentioning

confidence: 99%

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

Alonso

Ansola

Querin

2014

Finite Elements in Analysis and Design

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“…Filter techniques intended for removal of checkerboard instabilities are only partly successful in preventing the one-node connected hinges [3,[13][14][15][16]] although a very recently published level-set based scheme shows some promise [17] in this respect. Therefore in practice, the hinges are usually converted to slender compliant hinges in a manual post-processing process [18]. Apart from constituting erroneous finite element modelling and likely failure of a realized device, the narrow hinges are also very vulnerable to manufacturing uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Manufacturing tolerant topology optimization

2009

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In this paper we present an extension of the topology optimization method to include uncertainties during the fabrication of macro, micro and nano structures. More specifically, we consider devices that are manufactured using processes which may result in (uniformly) too thin (eroded) or too thick (dilated) structures compared to the intended topology. Examples are MEMS devices manufactured using etching processes, nano-devices manufactured using e-beam lithography or laser micro-machining and macro structures manufactured using milling processes. In the suggested robust topology optimization approach, under-and over-etching is modelled by image processing-based "erode" and "dilate" operators and the optimization problem is formulated as a worst case design problem. Applications of the method to the design of macro structures for minimum compliance and micro compliant mechanisms show that the method provides manufacturing tolerant designs with little decrease in performance. As a positive side effect the robust design formulation also eliminates the longstanding problem of onenode connected hinges in compliant mechanism design using topology optimization.

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“…Gea and Luo (2001) proposed a microstructure-based design approach with a nonlinear FE formulation for the topology optimization of structures with geometric nonlinearity. Pedersen, Buhl, and Sigmund (2001) considered topology optimization of nonlinear compliant mechanisms represented with frame elements. Bruns and Tortorelli (2003) proposed an element removal and reintroduction strategy for topology optimization problems with geometric nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of geometrically nonlinear structures using an evolutionary optimization method

Abdi

Ashcroft

Wildman

2018

Engineering Optimization

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. ABSTRACTThe topology optimization using isolines/isosurfaces and extended finite element method (Iso-XFEM) is an evolutionary optimization method developed in previous studies to enable the generation of high-resolution topology optimized designs suitable for additive manufacture. Conventional approaches for topology optimization require additional postprocessing after optimization to generate a manufacturable topology with clearly defined smooth boundaries. Iso-XFEM aims to eliminate this timeconsuming post-processing stage by defining the boundaries using isovalues of a structural performance criterion and an extended finite element method (XFEM) scheme. In this article, the Iso-XFEM method is further developed to enable the topology optimization of geometrically nonlinear structures undergoing large deformations. This is achieved by implementing a total Lagrangian finite element formulation and defining a structural performance criterion appropriate for the objective function of the optimization problem. The Iso-XFEM solutions for geometrically nonlinear test cases implementing linear and nonlinear modelling are compared, and the suitability of nonlinear modelling for the topology optimization of geometrically nonlinear structures is investigated. ARTICLE HISTORY

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Topology synthesis of large‐displacement compliant mechanisms

Cited by 398 publications

References 26 publications

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

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

Manufacturing tolerant topology optimization

Topology optimization of geometrically nonlinear structures using an evolutionary optimization method

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