Design Optimization of Shape Memory Alloy Structures

Langelaar, Matthijs

doi:10.2514/6.2004-4414

Cited by 11 publications

(9 citation statements)

References 148 publications

(245 reference statements)

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“…The relation between design variables γ and link stiffnesses within a patch is chosen such that the resulting effective stiffness of the condensed patch ∥ K C ∥ varies smoothly with γ ‡30, 34, is used to transform the nonlinear ∥ K C ∥( k L )‐relation into the desired linear ∥ K C ∥(γ)‐relation and its derivative as needed for sensitivity expressions reads as: Here the tolerance δ controls lowest and highest link stiffness values, balancing stiffness errors between the void and solid case. The lowest normalized effective patch stiffness (void) will be δ, the highest will equal 1−δ (solid) 30.…”

Section: Structural Modelingmentioning

confidence: 99%

“…In this paper, we adopt the ECP approach in combination with a suitably simplified design‐oriented SMA model, in order to solve SMA thermal actuator design problems through topology optimization. Preliminary results for this problem were reported in 29, 30. Our approach in many ways must be regarded as a first exploratory step in this domain, and thus several simplifications have been made: without loss of generality our investigation focuses on the 2‐D plane stress case to limit the required computational effort, using a particular SMA constitutive model that allows certain simplifications in the sensitivity analysis.…”

Section: Introductionmentioning

confidence: 99%

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Electrochemically Informed Synthesis: Oxidation versus Coordination of 5,6‐Bis(phenylchalcogeno)acenaphthenes

et al. 2013

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Section: Structural Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electrochemically Informed Synthesis: Oxidation versus Coordination of 5,6‐Bis(phenylchalcogeno)acenaphthenes

et al. 2013

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“…In an earlier study, using an optimization algorithm that does not use gradient information, and only accounting for 5 design variables, hundreds of function evaluations were required. 21 This illustrates the superior efficiency of the proposed approach. The temperature distribution on the obtained optimal design, in open and closed configurations, is depicted in Fig.…”

Section: Miniature Sma Grippermentioning

confidence: 85%

Design optimization of shape memory alloy active structures using the R-phase transformation

Langelaar

Keulen

2007

SPIE Proceedings

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This article illustrates the opportunities that combining computational modeling and systematic design optimization techniques offer to facilitate the design process of shape memory alloy (SMA) structures. Focus is on shape memory behavior due to the R-phase transformation in Ni-Ti, for which a dedicated constitutive model is formulated. In this paper, efficient topology and shape optimization procedures for the design of SMA devices are described. In order to achieve fast convergence to optimized designs, sensitivity information is computed to allow the use of gradient-based optimization algorithms. The effectiveness of the various optimization procedures is illustrated by numerical examples, including the design of a miniature SMA gripper and a steerable SMA active catheter. It is shown that design optimization enables designers of SMA structures to systematically enhance the performance of SMA devices for a variety of applications.

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“…In this paper, we adopt the ECP approach in combination with a suitably simplified designoriented SMA model, in order to solve SMA thermal actuator design problems through topology optimization. Preliminary results for this problem were reported in [29,30]. Our approach in many ways must be regarded as a first exploratory step in this domain, and thus several simplifications have been made: without loss of generality our investigation focuses on the 2-D plane stress case to limit the required computational effort, using a particular SMA constitutive model that allows certain simplifications in the sensitivity analysis.…”

Section: Approachmentioning

confidence: 99%

Topology optimization of planar shape memory alloy thermal actuators using element connectivity parameterization

Langelaar

Yoon

Kim

et al. 2011

Numerical Meth Engineering

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SUMMARYThis paper presents the direct application of topology optimization to the design of shape memory alloy (SMA) thermal actuators. Because SMAs exhibit strongly nonlinear, temperature-dependent material behavior, designing effective multidimensional SMA actuator structures is a challenging task. We pursue the use of topology optimization to address this problem. Conventional material scaling topology optimization approaches are hampered by the complexity of the SMA constitutive behavior combined with large actuator deflections. Therefore, for topology optimization we employ the element connectivity parameterization approach, which offers improved analysis convergence and robustness, as well as an unambiguous treatment of nonlinear materials. A path-independent SMA constitutive model, aimed particularly at the NiTi R-phase transformation, is employed, allowing efficient adjoint sensitivity analysis. The effectiveness of the proposed SMA topology optimization is demonstrated by numerical examples of constrained and unconstrained formulations of actuator stroke maximization, which provide insight into the characteristics of optimal SMA actuators.

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Design Optimization of Shape Memory Alloy Structures

Cited by 11 publications

References 148 publications

Electrochemically Informed Synthesis: Oxidation versus Coordination of 5,6‐Bis(phenylchalcogeno)acenaphthenes

Electrochemically Informed Synthesis: Oxidation versus Coordination of 5,6‐Bis(phenylchalcogeno)acenaphthenes

Design optimization of shape memory alloy active structures using the R-phase transformation

Topology optimization of planar shape memory alloy thermal actuators using element connectivity parameterization

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