Reliability based topology optimization of thermoelastic structures using bi-directional evolutionary structural optimization method

IF 2.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL International Journal of Mechanics and Materials in Design Pub Date : 2023-01-25 DOI:10.1007/s10999-023-09641-0
Muayad Habashneh, Majid Movahedi Rad
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引用次数: 10

Abstract

The aim of this paper is to propose a novel computational technique of applying reliability-based design to thermoelastic structural topology optimization. Therefore, the optimization of thermoelastic structures' topology based on reliability-based design is considered by utilizing geometrical nonlinearity analysis. For purposes of introducing reliability-based optimization, the volume fraction parameter is viewed as a random variable with a normal distribution having a mean value and standard deviation. The Monte Carlo simulation approach for probabilistic designs is used to calculate the reliability index, which is used as a constraint related to the volume fraction constraint of the deterministic problem. A new bi-directional evolutionary structural optimization scheme is developed, in which a geometrically nonlinear thermoelastic model is applied in the sensitivity analysis. The impact of changing the constraint of a defined volume of the required design in deterministic problems is examined. Additionally, the impact of altering the reliability index in probabilistic problems is investigated. The effectiveness of the suggested approach is shown using a benchmark problem. Additionally, this research takes into account probabilistic thermoelastic topology optimization for a 2D L-shaped beam problem.

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基于可靠性的热弹性结构双向演化拓扑优化方法
本文的目的是提出一种新的计算技术,将基于可靠性的设计应用于热弹性结构的拓扑优化。因此,利用几何非线性分析,考虑基于可靠性设计的热弹性结构拓扑优化。为了引入基于可靠性的优化,将体积分数参数视为具有均值和标准差的正态分布的随机变量。采用概率设计的蒙特卡罗模拟方法计算可靠性指标,并将可靠性指标作为确定性问题体积分数约束的约束。提出了一种新的双向演化结构优化方案,该方案采用几何非线性热弹性模型进行灵敏度分析。在确定性问题中,改变所需设计的定义体积的约束的影响进行了检查。此外,还研究了在概率问题中改变可靠度指标的影响。通过一个基准问题证明了所建议方法的有效性。此外,本研究还考虑了二维l型梁问题的概率热弹性拓扑优化。
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来源期刊
International Journal of Mechanics and Materials in Design
International Journal of Mechanics and Materials in Design ENGINEERING, MECHANICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY
CiteScore
6.00
自引率
5.40%
发文量
41
审稿时长
>12 weeks
期刊介绍: It is the objective of this journal to provide an effective medium for the dissemination of recent advances and original works in mechanics and materials'' engineering and their impact on the design process in an integrated, highly focused and coherent format. The goal is to enable mechanical, aeronautical, civil, automotive, biomedical, chemical and nuclear engineers, researchers and scientists to keep abreast of recent developments and exchange ideas on a number of topics relating to the use of mechanics and materials in design. Analytical synopsis of contents: The following non-exhaustive list is considered to be within the scope of the International Journal of Mechanics and Materials in Design: Intelligent Design: Nano-engineering and Nano-science in Design; Smart Materials and Adaptive Structures in Design; Mechanism(s) Design; Design against Failure; Design for Manufacturing; Design of Ultralight Structures; Design for a Clean Environment; Impact and Crashworthiness; Microelectronic Packaging Systems. Advanced Materials in Design: Newly Engineered Materials; Smart Materials and Adaptive Structures; Micromechanical Modelling of Composites; Damage Characterisation of Advanced/Traditional Materials; Alternative Use of Traditional Materials in Design; Functionally Graded Materials; Failure Analysis: Fatigue and Fracture; Multiscale Modelling Concepts and Methodology; Interfaces, interfacial properties and characterisation. Design Analysis and Optimisation: Shape and Topology Optimisation; Structural Optimisation; Optimisation Algorithms in Design; Nonlinear Mechanics in Design; Novel Numerical Tools in Design; Geometric Modelling and CAD Tools in Design; FEM, BEM and Hybrid Methods; Integrated Computer Aided Design; Computational Failure Analysis; Coupled Thermo-Electro-Mechanical Designs.
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