Topology optimization of compliant mechanisms considering stress constraints, manufacturing uncertainty and geometric nonlinearity

Silva, Gustavo Assis da; Beck, André Teófilo; Sigmund, Ole

doi:10.1016/j.cma.2020.112972

Cited by 51 publications

(29 citation statements)

References 62 publications

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“…This method has been shown to be a valid alternative to the aggregation techniques often employed to handle the large number of stress constraints in the formulation. Introduced by Pereira et al 53 in the field of stress-constrained topology optimization, the augmented Lagrangian method has been employed to address density-based 23,26,27,42,43,[54][55][56][57][58] and level-set based 20,24,59,60 problems with stress constraints. In this work, the augmented Lagrangian formulation by Birgin and Martínez 61 is employed.…”

Section: Solution Approachmentioning

confidence: 99%

“…Among them, there are works that focus on developing more efficient and accurate ways to handle the stress constraints, [8][9][10][11][12][13][14][15][16] and works that focus on novel applications, [17][18][19][20] as the problem of compliant mechanisms with stress constraints. [21][22][23][24][25][26][27] Although not novel, stress-constrained topology optimization has been the subject of intensive research in the literature up to the present day.…”

Section: Introductionmentioning

confidence: 99%

“…[35][36][37] Most of the research in the field of stress-constrained topology optimization, however, is focused on deterministic problems. Although there are some recent works that propose formulations to handle uncertainty in stress-constrained topology optimization (see, e.g., References 26,27,[38][39][40][41][42][43], these are applied to small scale problems, with less than 600 thousand elements. The combination of stress constraints and manufacturing tolerances, despite its great importance for practical applications, is hence an unexplored topic in very large scale three-dimensional topology optimization.…”

Section: Introductionmentioning

confidence: 99%

“…Since the seminal paper by Duysinx and Bendsøe, 7 several works addressing topology optimization with stress constraints have been developed. Among them, there are works that focus on developing more efficient and accurate ways to handle the stress constraints, 8‐16 and works that focus on novel applications, 17‐20 as the problem of compliant mechanisms with stress constraints 21‐27 . Although not novel, stress‐constrained topology optimization has been the subject of intensive research in the literature up to the present day.…”

Section: Introductionmentioning

confidence: 99%

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Three‐dimensional manufacturing tolerant topology optimization with hundreds of millions of local stress constraints

Silva

Aage

Beck

et al. 2020

Numerical Meth Engineering

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In topology optimization, the treatment of stress constraints for very large scale problems (more than 100 million elements and more than 600 million stress constraints) has so far not been tractable due to the failure of robust agglomeration methods, that is, their inability to accurately handle the locality of the stress constraints. This article presents a three-dimensional design methodology that alleviates this shortcoming using both deterministic and robust problem formulations. The robust formulation, based on the three-field density projection approach, is extended and proved necessary to handle manufacturing uncertainty in three-dimensional stress-constrained problems. Several numerical examples are solved and further postprocessed with body-fitted meshes using commercial software. The numerical investigations demonstrate that: (1) the employed solution approach based on the augmented Lagrangian method is able to handle very large problems, with hundreds of millions of stress constraints; (2) three-dimensional stress-based results are extremely sensitive to slight manufacturing variations; (3) if appropriate interpolation parameters are adopted, voxel-based (fixed grid) models can be used to compute von Mises stresses with excellent accuracy; and (4) in order to ensure manufacturing tolerance in three-dimensional stress-constrained topology optimization, a combination of double filtering and more than three density field realizations may be required.

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Section: Solution Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Three‐dimensional manufacturing tolerant topology optimization with hundreds of millions of local stress constraints

Silva

Aage

Beck

et al. 2020

Numerical Meth Engineering

Self Cite

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“…The energy approach is used to present a general method for structural optimization [30] in discrete truss structures. Recently, da Silva et al [31] used the density-based interpolation and a complex optimization process for multi-material topology optimization of compliant mechanisms under complicated conditions such as stress constraints, possible manufacturing uncertainty and geometrical nonlinearity. The authors presented two formulations related to the path generation concept and maximum output displacement.…”

Section: Introductionmentioning

confidence: 99%

Multi-material topology optimization of compliant mechanisms using regularized projected gradient approach

Rostami

Marzbanrad

2020

J Braz. Soc. Mech. Sci. Eng.

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In this article, the identification of optimal topologies for multi-material compliant mechanisms based on the regularized projected gradient approach is presented and analyzed. The monolithic structure of compliant mechanisms makes them suitable to be used in microelectromechanical systems to transfer load and force. The use of additive manufacturing technologies makes it possible to build multi-material structures. However, a proper design optimization approach must be considered to design multi-material mechanisms as well. In this article, the solid isotropic material with a penalization (SIMP) material interpolation scheme is used to parameterize the continuum design domain. The perimeter penalization approach is utilized to remove the checkerboard patterns and scatters in optimal designs. To handle the volume equality constraint, the regularized constraint projection strategy is utilized. Some benchmark problems are considered to analyze the performance of the method.

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Origami Chomper‐Based Flexible Gripper with Superior Gripping Performances

Liu,

Chen,

Wen

et al. 2023

Advanced Intelligent Systems

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Flexible grippers with superior gripping capabilities are essential for carrying objects. Herein, an origami chomper‐based flexible gripper is designed using a combination of the origami technique and a newly developed nonlinear topology optimization method. This novel origami chomper‐based flexible gripper exhibits superior gripping performance, as revealed by a series of experiments, including gripping range capability under an identical input load, maximum gripping ratio, gripping adaptability, and achieving richer gripping characteristics by size scaling. The origami chomper‐based flexible gripper can handle a wide range of object irregularities in textures and uneven shapes and can enable effective gripping of objects across scales from millimeters to centimeters to decimeters through size scaling. This study paves the way for innovative high‐performance designs of flexible grippers.

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Topology optimization of compliant mechanisms considering stress constraints, manufacturing uncertainty and geometric nonlinearity

Cited by 51 publications

References 62 publications

Three‐dimensional manufacturing tolerant topology optimization with hundreds of millions of local stress constraints

Three‐dimensional manufacturing tolerant topology optimization with hundreds of millions of local stress constraints

Multi-material topology optimization of compliant mechanisms using regularized projected gradient approach

Origami Chomper‐Based Flexible Gripper with Superior Gripping Performances

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