System-Based Approaches for Structural Optimization of Flexible Mechanisms

Tromme, Emmanuel; Held, Alexander; Duysinx, Pierre; Brüls, Olivier

doi:10.1007/s11831-017-9215-6

Cited by 23 publications

(20 citation statements)

References 125 publications

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“…The detailed derivation of the ESL sets and a brief optimization computation flow are also given. For the fully coupled optimization formulation, the readers can refer to references [3,[16][17][18].…”

Section: Optimization Formulation Of a Variable-length Structurementioning

confidence: 99%

“…The optimization of a 3D variable-length structure can be performed either directly from the aforementioned dynamic analysis of FMBS or from a series of equivalent static analyses [15,16]. The former is called the fully coupled method or the integrated optimization method [16][17][18], while the latter is called the weakly coupled method or the equivalent static loads (ESL) method [16,[19][20][21][22][23][24][25]. Compared with the fully coupled method, the weakly coupled method has two significant merits.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with the fully coupled method, the weakly coupled method has two significant merits. Firstly, it is simple to implement by replacing the dynamic response simulation of FMBS with static responses simulation at each time step [15,16]. Secondly, the expensive and timeconsuming dynamic analysis and sensitivity analysis of FMBS can be omitted in the inner optimization iteration [3,20,25].…”

Section: Introductionmentioning

confidence: 99%

“…With the help of the ESL, the dynamic response optimization of a 3D variablelength structure can be transformed into a static one [16,[19][20][21][22][23][24][25]. After performing optimization, the variable-length structure can be designed as a kind of periodic structure or the lattice structure at the macro-level.…”

Section: Introductionmentioning

confidence: 99%

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Simultaneous topology and size optimization of a 3D variable-length structure described by the ALE–ANCF

Sun

Tian

et al. 2018

Mechanism and Machine Theory

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Section: Optimization Formulation Of a Variable-length Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Simultaneous topology and size optimization of a 3D variable-length structure described by the ALE–ANCF

Sun

Tian

et al. 2018

Mechanism and Machine Theory

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“…1. The existing optimization procedures can be divided into two basic approaches [10]. The first procedure relies on quasi-static approximations of the dynamic loads.…”

Section: Introductionmentioning

confidence: 99%

Constrained Topology Optimization of Dynamic Mechanical Systems

Held

Kohlsche

2018

Proc Appl Math and Mech

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We present a topology optimization procedure for flexible multibody systems, which is subjected to time-and space-dependent constraints. The flexible bodies are parameterized using the solid isotropic material with penalization approach. For the efficient solution of the optimization problem, the pointwise time-dependent constraints are discretized and aggregated into a single constraint using the Kreisselmeier-Steinhauser function. The procedure is tested by optimizing the mass of a flexible piston rod, while the deformation within the design domain is constrained.

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A comparison of a level set method and the method of moving asymptotes for the topology optimization of flexible components in multibody systems

Nejat

Held

Seifried

2023

Proc Appl Math and Mech

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The gradient‐based topology optimization of flexible multibody systems is considered, where the floating frame of reference method is utilized to model the flexible components with an appropriate efficiency. Thereby, the quality of the optimization results depends, among others, on the chosen gradient calculation strategy and the applied optimization algorithm. Here, both a fully‐coupled time‐continuous adjoint sensitivity analysis and a weakly‐coupled equivalent static load method are tested for gradient calculation. Moreover, both the method of moving asymptotes and a level set method are taken to solve the optimization problem. Different combinations of the mentioned gradient strategies and optimization algorithms are applied for the topology optimization of a flexible piston rod in a slider‐crank mechanism. The corresponding results and comparisons shall be used as quality benchmarks for further studies.

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System-Based Approaches for Structural Optimization of Flexible Mechanisms

Cited by 23 publications

References 125 publications

Simultaneous topology and size optimization of a 3D variable-length structure described by the ALE–ANCF

Simultaneous topology and size optimization of a 3D variable-length structure described by the ALE–ANCF

Constrained Topology Optimization of Dynamic Mechanical Systems

A comparison of a level set method and the method of moving asymptotes for the topology optimization of flexible components in multibody systems

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