Topology optimization and 3D printing of large deformation compliant mechanisms for straining biological tissues

Kumar, Prabhat; Schmidleithner, Christina; Larsen, Niels Bent; Sigmund, Ole

doi:10.1007/s00158-020-02764-4

Cited by 25 publications

(14 citation statements)

References 42 publications

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“…

ρ = 1

indicates solid phase of an FE, whereas its void state is represented via

ρ = 0

. Various applications of such mechanisms designed via TO in the case of design‐independent loads can be found in References 13‐18 and references therein. However, in case of design‐dependent loading different approaches are required.…”

Section: Introductionmentioning

confidence: 99%

On topology optimization of design‐dependent pressure‐loaded three‐dimensional structures and compliant mechanisms

Kumar

Langelaar

2021

Numerical Meth Engineering

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This article presents a density‐based topology optimization method for designing three‐dimensional (3D) compliant mechanisms (CMs) and loadbearing structures with design‐dependent pressure loading. Instead of interface‐tracking techniques, the Darcy law in conjunction with a drainage term is employed to obtain pressure field as a function of the design vector. To ensure continuous transition of pressure loads as the design evolves, the flow coefficient of a finite element (FE) is defined using a smooth Heaviside function. The obtained pressure field is converted into consistent nodal loads using a transformation matrix. The presented approach employs the standard FE formulation and also, allows consistent and computationally inexpensive calculation of load sensitivities using the adjoint‐variable method. For CM designs, a multicriteria objective is minimized, whereas minimization of compliance is performed for designing loadbearing structures. Efficacy and robustness of the presented approach is demonstrated by designing various pressure‐actuated 3D CMs and structures.

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“…

ρ = 1

indicates solid phase of an FE, whereas its void state is represented via

ρ = 0

Section: Introductionmentioning

confidence: 99%

On topology optimization of design‐dependent pressure‐loaded three‐dimensional structures and compliant mechanisms

Kumar

Langelaar

2021

Numerical Meth Engineering

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“…In example 3, we tackle a compliant mechanism design problem in which both the geometric nonlinearity and the maximum stress are considered. Compliant mechanisms are well-studied design targets in the field of topology optimization; however, only a limited number of studies consider the geometric nonlinearity (Luo and Tong 2008;Liu et al 2017;Chen et al 2019;Dunning 2020;Kumar et al 2020), despite the large deformation of compliant mechanisms. Similarly, only a limited number of studies consider the maximum stress as a constraint (De Leon et al 2015;Lopes and Novotny 2016), although it is necessary to constrain the maximum stress in the real world.…”

Section: Examplementioning

confidence: 99%

Data-driven topology design using a deep generative model

Yamasaki

Yaji

Fujita

2021

Struct Multidisc Optim

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In this paper, we propose a sensitivity-free and multi-objective structural design methodology called data-driven topology design. It is schemed to obtain high-performance material distributions from initially given material distributions in a given design domain. Its basic idea is to iterate the following processes: (i) selecting material distributions from a dataset of material distributions according to eliteness, (ii) generating new material distributions using a deep generative model trained with the selected elite material distributions, and (iii) merging the generated material distributions with the dataset. Because of the nature of a deep generative model, the generated material distributions are diverse and inherit features of the training data, that is, the elite material distributions. Therefore, it is expected that some of the generated material distributions are superior to the current elite material distributions, and by merging the generated material distributions with the dataset, the performances of the newly selected elite material distributions are improved. The performances are further improved by iterating the above processes. The usefulness of data-driven topology design is demonstrated through numerical examples.

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“…The kinematics-based approach, the building blocks approach and the topology optimization approach [ 28 , 29 , 30 ] are three classical compliant mechanisms designing methods. On the basis of the kinematics-based approach, a novel mechanism inspired by the Tripteron [ 31 ] is proposed in this paper to solve the aforementioned problems, which may provide an alternative way to construct the parallel XYZ compliant manipulator.…”

Section: Introductionmentioning

confidence: 99%

Design and Modeling of a Novel Tripteron-Inspired Triaxial Parallel Compliant Manipulator with Compact Structure

Xie

Cheung

2022

Micromachines

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Compliant mechanisms are popular to the applications of micro/nanoscale manipulations. This paper proposes a novel triaxial parallel-kinematic compliant manipulator inspired by the Tripteron mechanism. Compared to most conventional triaxial compliant mechanisms, the proposed manipulator has the merits of structure compactness and being free of assembly error due to its unique configuration and the utilize of 3D printing technology. The compliance matrix modeling method is employed to determine the input stiffness of the compliant manipulator, and it is verified by finite-element analysis (FEA). Results show that the deviations between simulation works and the derived analytical models are in an acceptable range. The simulation results also reveal that the compliant manipulator can achieve a 16 μm × 16 μm × 16 μm cubic workspace. In this motion range, the observed maximum stress is much lower than the yield strength of the material. Moreover, the dynamic characteristics of the manipulator are investigated via the simulations as well.

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Topology optimization and 3D printing of large deformation compliant mechanisms for straining biological tissues

Cited by 25 publications

References 42 publications

On topology optimization of design‐dependent pressure‐loaded three‐dimensional structures and compliant mechanisms

On topology optimization of design‐dependent pressure‐loaded three‐dimensional structures and compliant mechanisms

Data-driven topology design using a deep generative model

Design and Modeling of a Novel Tripteron-Inspired Triaxial Parallel Compliant Manipulator with Compact Structure

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