Reliability-based topology optimization of vibrating structures with frequency constraints

IF 2.7 3区材料科学 Q2 ENGINEERING, MECHANICAL

International Journal of Mechanics and Materials in Design Pub Date : 2023-01-03 DOI:10.1007/s10999-022-09637-2

Zeng Meng, Gang Yang, Qin Wang, Xuan Wang, Quhao Li

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引用次数: 1

Abstract

There are many inevitable uncertain parameters in engineering systems, and the ignorance of these random factors results in a remarkable reduction in the dynamical system’s performance for the eigenvalue topology optimization problem. To address the problem, a reliability-based topology optimization (RBTO) model for lightweight design with frequency constraints is established, which aims to account the probabilistic behavior incurred by material properties and geometric dimensions. Then, the single loop approach is used to tackle the RBTO problem. The sensitivities of eigenvalues with respect to the design and random variables are also deduced, in which the simple and multiple eigenfrequencies are simultaneously considered. Moreover, the threshold projection approach is used to eliminate the checkerboard phenomena and grey elements for the eigenvalue topology optimization problem. Three examples are discussed to exhibit the validity of the proposed RBTO methodology.

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基于可靠性的频率约束振动结构拓扑优化

工程系统中存在许多不可避免的不确定参数，忽略这些随机因素会导致动力系统在特征值拓扑优化问题中的性能显著降低。为了解决这一问题，建立了一种基于可靠性的轻量化拓扑优化(RBTO)模型，该模型考虑了材料性能和几何尺寸引起的概率行为。然后，采用单回路方法解决RBTO问题。同时考虑了单特征频率和多重特征频率，推导了特征值对设计变量和随机变量的敏感性。此外，针对特征值拓扑优化问题，采用阈值投影法消除了棋盘格现象和灰色元素。讨论了三个例子，以证明所提出的RBTO方法的有效性。

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来源期刊

International Journal of Mechanics and Materials in Design ENGINEERING, MECHANICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

6.00

自引率

5.40%

发文量

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.