Reliability-Based Topology Optimization of Thermo-Elastic Structures with Stress Constraint

Zhang, Liang; Zhao, Qinghai; Chen, Jianliang

doi:10.3390/math10071091

Cited by 11 publications

(4 citation statements)

References 40 publications

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“…Meng et al 32 presented a novel single‐loop method based on fuzzy and probability theories to address multi‐source uncertainties in coupled thermo‐mechanical structures. Zhang et al 33 presented a design method for thermoelastic structures that considers the impact of uncertain factors on structural strength within a uniform temperature field. Ni et al 34 proposed a non‐probabilistic reliability design approach considering the coupled thermo‐mechanical effect, aiming to ensure compliance reliability for composite laminates.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty‐oriented thermoelastic topology optimization with stress constraint

Cheng,

Yang,

Wang

et al. 2024

Numerical Meth Engineering

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The material redistribution abilities of traditional deterministic topology optimization are effective in addressing stress‐related design issues in thermal elastic structures. However, uncertainties are inevitable in real‐world. The structural strength of a design, achieved through deterministic topology optimization, is highly susceptible to these uncertainties, which may result in failure. This article introduces a novel method for topology optimization in stress‐constrained thermoelastic structures, taking into account the uncertainties associated with heat sources and loads. We employ the Kieisselmeier–Steinhauser function to aggregate the stress constraint when constructing the performance function. In order to improve optimization efficiency, the sequential optimization and reliability assessment method is used to decouple the double‐layer loop reliability‐based topology optimization. Initially, we derive the derivative of stress‐based performance functions with respect to heat source and load uncertainty variables, thereby facilitating the use of modified chaos control for assessing structural reliability and imposing constraints. The adjoint method and chain rule are utilized to obtain the derivative information of the performance function with respect to density variables, guiding the topology updates. We present five design examples to demonstrate the effectiveness of the presented method. Monte Carlo simulations for the optimized results are performed to show that the presented method can obtain a structure that meets reliability requirements.

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Section: Introductionmentioning

confidence: 99%

Uncertainty‐oriented thermoelastic topology optimization with stress constraint

Cheng,

Yang,

Wang

et al. 2024

Numerical Meth Engineering

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“…TO is an effective method for optimizing lattice structure performance to achieve the optimal allocation of materials in the given design space. [ 27 ] Montemurro et al [ 28 ] proposed a CAD compatible TO algorithms based on nonuniform rational basis spline hypersurfaces to improve the mechanical properties of point structures. Xiao et al [ 29 ] designed three different pressure application methods and volume constraints and obtained a lattice structure with maximum stiffness under three working conditions through TO.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Response of Gradient Lattice Structures Based on Topology Optimization

Cheng,

Zhao,

Mao

et al. 2024

Adv Eng Mater

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Lattice structure has the characteristics of lightweight, crashworthy, and better energy absorption capabilities. With the advancement of additive manufacturing (AM) technologies, preparing complex lattice structures has become possible. In this study, some novel lattice structures are designed by topology optimization (TO) based on the inspiration of the triply periodic minimum surface (TPMS) lattice structures. The different volume fraction lattice structures are combined into four gradient lattice structures (GLSs): unidirectional GLS (UNGLS), bidirectional increasing GLS (BIGLS), bidirectional decreasing GLS (BDGLS), and none GLS (NOGLS). Subsequently, selective laser melting (SLM) is employed to manufacture the designed lattice structures. Experiments and finite element (FE) simulation analysis are utilized to evaluate the mechanical performance and collapse patterns of lattice structures. The results show that NOGLS has a higher modulus of elasticity and greater load‐bearing capacity for the same relative density. Furthermore, the energy‐absorbing properties of the dot‐matrix structure are significantly improved by a rational density design strategy. This work is valuable for improving the energy absorption performance of structures.This article is protected by copyright. All rights reserved.

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“…Takezawa et al [30] developed a structure optimization method based on SIMP. Zhang et al [31] linked reliability design with topology optimization design, Yan et al [32,33] and Chen et al [34] carried out topology optimization design for multi-material mechanisms. Recently, to satisfy the green manufacturing, increasing material developed fast, and topology optimization based on the increasing material principled is derived.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization of Stiffener Layout Design for Box Type Load-Bearing Component under Thermo-Mechanical Coupling

Yang¹,

Xiong²,

Du³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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The structure optimization design under thermo-mechanical coupling is a difficult problem in the topology optimization field. An adaptive growth algorithm has become a more effective approach for structural topology optimization. This paper proposed a topology optimization method by an adaptive growth algorithm for the stiffener layout design of box type load-bearing components under thermo-mechanical coupling. Based on the stiffness diffusion theory, both the load stiffness matrix and the heat conduction stiffness matrix of the stiffener are spread at the same time to make sure the stiffener grows freely and obtain an optimal stiffener layout design. Meanwhile, the objectives of optimization are the minimization of strain energy and thermal compliance of the whole structure, and thermo-mechanical coupling is considered. Numerical studies for square shells clearly show the effectiveness of the proposed method for stiffener layout optimization under thermo-mechanical coupling. Finally, the method is applied to optimize the stiffener layout of box type load-bearing component of the machining center. The optimization results show that both the structural deformation and temperature of the load-bearing component with the growth stiffener layout, which are optimized by the adaptive growth algorithm, are less than the stiffener layout of shape '#' stiffener layout. It provides a new solution approach for stiffener layout optimization design of box type load-bearing components under thermo-mechanical coupling.

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Reliability-Based Topology Optimization of Thermo-Elastic Structures with Stress Constraint

Cited by 11 publications

References 40 publications

Uncertainty‐oriented thermoelastic topology optimization with stress constraint

Uncertainty‐oriented thermoelastic topology optimization with stress constraint

Mechanical Response of Gradient Lattice Structures Based on Topology Optimization

Topology Optimization of Stiffener Layout Design for Box Type Load-Bearing Component under Thermo-Mechanical Coupling

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