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| Explicit structural topology optimization considering structural stationary random responses |
| Received:November 11, 2021 Revised:January 30, 2022 |
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| DOI：10.7511/jslx20211111002 |
| KeyWord:topology optimization moving morphable component (MMC) degree of freedom elimination technique pseudo excitation method (PEM) stationary random responses |
| Author | Institution |
| 李佳霖 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室 工程力学系, 大连 |
| 张有为 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室 工程力学系, 大连 ;大连理工大学 宁波研究院, 宁波 |
| 张维声 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室 工程力学系, 大连 ;大连理工大学 宁波研究院, 宁波 |
| 郭杏林 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室 工程力学系, 大连 |
| 郭旭 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室 工程力学系, 大连 ;大连理工大学 宁波研究院, 宁波 |
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| Abstract: |
| A random load is a complex load form borne by practical engineering structures in service,which is usually described in a statistical way.Contrasted to static topology optimization problems,structural random responses-oriented topology optimization problems are considered very challenging,and have pivotal issues to be addressed seriously.The difficulties can be summarized as follows.Firstly,under the traditional implicit topology optimization framework,a large number of design variables are involved in optimization,and there are numerical instability issues caused by the existence of grey elements,e. g.,highly spurious localized vibration eigenmodes.Secondly,a heavier computation effort for structural random response and corresponding sensitivity analysis needs to be paid.Last,due to the strong coupling between the analysis model and the optimization model under the implicit topology optimization framework,the structural finite element model has very high degrees of freedom (DOFs),which further aggravates the above difficulties.Under the Moving Morphable Component (MMC) based framework and pseudo excitation method (PEM),an explicit topology optimization method considering structural random responses is proposed in this paper.In this method,a series of moving morphable components are used as the basic building blocks of optimization,which renders the possibility of describing the structural topology by a small number of design variables.The PEM,DOF elimination technique (DET) and mode displacement method (MDM) are used to effectively reduce the computational expense associated with structural random response and corresponding sensitivity analysis.On this basis,the optimization problem with the standard deviation of flexibility as the objective function and the volume fraction of solid materials in the design domain as the constraint condition is determined.In numerical examples,for proving the effectiveness of the proposed method,the structural topology optimization problems under band limited white noise are solved. |
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