Topology optimization for energy dissipation structures based on shape memory alloys

Hou, Jie; Chang, Wei; Wang, Jie; Gu, Xiaojun; Zhu, Jihong; Zhang, Weihong

doi:10.1007/s00158-023-03491-2

Cited by 4 publications

(7 citation statements)

References 58 publications

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“…In the discrete finite element analysis, the residuals (Hou et al, 2023; Kang and James, 2022) are represented as follows:…”

Section: Sma Materials Model and Finite Element Analysismentioning

confidence: 99%

“…Zhu et al(2021) proposed an SMA topology optimization method based on SIMP, which effectively realized the optimization design of the SMA structure with expected performance. Hou et al (2023) proposed a density-based topology optimization framework for SMA structure design that utilizes pseudo-elastic behavior to dissipate much energy. All the studies above regarding topology optimization of SMA structures rely on the density interpolation technique, but also disregarding the constraint imposed by the fundamental frequency of the SMA structures.…”

Section: Introductionmentioning

confidence: 99%

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Topology optimization structure design of shape memory alloy with multiple constraints

Dong,

Jiang,

et al. 2024

Journal of Intelligent Material Systems and Structures

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As an emerging functional material, shape memory alloy (SMA) exhibits remarkable mechanical properties and finds diverse applications across industries. This paper presents a topology optimization framework based on the bi-directional evolutionary structural optimization (BESO) method for designing SMA structures, which maximizes structural stiffness under multiple constraints of specified volume fraction, displacement, and fundamental frequency. A phenomenological constitutive model is utilized to simulate the mechanical behavior of SMA accurately. The unit virtual load method is employed to determine sensitivities. Several optimized SMA beam structures and simply-supported cube structures are designed under different thermal-mechanical loads, and their displacement, mean compliance, and fundamental frequency are evaluated throughout the optimization process. The results demonstrate that the proposed framework successfully customizes the SMA topology structure with adjustable displacement and fundamental frequency, and the optimized schemes exhibit more considerable deformation and more uniform mechanical properties than their initial counterparts. The proposed framework has higher computational efficiency than the traditional SIMP-based SMA topology optimization design method.

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“…In the discrete finite element analysis, the residuals (Hou et al, 2023; Kang and James, 2022) are represented as follows:…”

Section: Sma Materials Model and Finite Element Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topology optimization structure design of shape memory alloy with multiple constraints

Dong,

Jiang,

et al. 2024

Journal of Intelligent Material Systems and Structures

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“…L x and L y are binary matrices to extract desired output displacement vectors from the global displacement vector u. Since λ is the Lagrange multiplier, which can take an arbitrary value, a particular value is selected according to Equation (31) so that the sensitivity of shape error function can be analytically computed:…”

Section: Sensitivity Analysis Of the Shape Error Optimization Responsementioning

confidence: 99%

“…By substituting Equations ( 30) and (31) into Equation ( 29), the analytical sensitivity information of shape error response with respect to density design variables is obtained:…”

Section: Sensitivity Analysis Of the Shape Error Optimization Responsementioning

confidence: 99%

“…Nevertheless, topology optimization methods have been used to design shape memory structures for preferred motion patterns. Maximization/minimization of quantities such as structural compliance, energy dissipation or inaccurate stroke distances has usually been selected as the optimization objectives [10,[29][30][31][32]. Realizing topologically innovative designs of 3D SMA devices for desired spatial actuation shapes is expected to broaden the structural morphing functionality and application potentials, as complex-geometry SMA actuators, like lattice structures, have been manufactured by 3D-printing technology [33].…”

Section: Introductionmentioning

confidence: 99%

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Topology Optimization of Shape Memory Alloy Actuators for Prescribed Two-Way Transforming Shapes

Yang,

Luo,

Yuan

et al. 2024

Actuators

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This paper proposes a new topology optimization formulation for obtaining shape memory alloy actuators which are designed with prescribed two-way transforming shapes. The actuation behaviors of shape memory alloy structures are governed by austenite-martensite phase transformations effected by thermal-mechanical loading processes; therefore, to realize the precise geometric shape variations of shape memory alloy actuators, traditional methods involve iteration processes including heuristic structural design, numerical predictions and experimental validation. Although advanced structural optimization methods such as topology optimization have been used to design three-dimensional (3D) shape memory alloy actuators, the maximization/minimization of quantities such as structural compliance or inaccurate stroke distances has usually been selected as the optimization objective to obtain feasible solutions. To bridge the gap between precise shape-morphing requirements and efficient shape memory alloy actuator designs, this paper formulates optimization criteria with quantitatively desired geometric shapes, and investigates the automatic designs of two-way prescribed shape morphing shape memory alloy structures based on the proposed topology optimization method. The super element method and adjoint method are used to derive the analytical sensitivities of the objective functions with respect to the design variables. Numerical examples demonstrate that the proposed method can obtain 3D actuator designs that have the desired two-way transforming shapes.

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Iterative design of satellite structures and topology optimisation methods

Hurtado-Pérez,

Pablo-Sotelo,

Ramírez-López

et al. 2024

J. Phys.: Conf. Ser.

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Satellite launches are critical amid increasing demands for advanced services. Rising costs urge innovation in engineering. Enhancing satellite structural integrity during launches is crucial due to intense vibrations. Topology optimisation and additive manufacturing converge as promising solutions. Topology optimisation uses mathematical techniques to iteratively improve structures by reducing mass while enhancing attributes like load capacity. This field, active for about three decades, employs continuum and discrete algorithms to optimise structures. Recent trends show optimised structures through topology optimisation and additive manufacturing promise cost-effective and high-performance solutions. This study aims to extensively review topology optimisation methods, specifically focusing on satellite structures, to shape future developments within the years to come.

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Topology optimization for energy dissipation structures based on shape memory alloys

Cited by 4 publications

References 58 publications

Topology optimization structure design of shape memory alloy with multiple constraints

Topology optimization structure design of shape memory alloy with multiple constraints

Topology Optimization of Shape Memory Alloy Actuators for Prescribed Two-Way Transforming Shapes

Iterative design of satellite structures and topology optimisation methods

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