简谐力激励下多组件结构系统的整体优化设计

doi:10.7527/S1000-6893.2017.221575

固体力学与飞行器总体设计

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简谐力激励下多组件结构系统的整体优化设计

朱继宏^1,2,3, 赵华¹, 刘涛¹, 张卫红¹

1. 西北工业大学航宇材料结构一体化设计与增材制造装备技术国际联合研究中心, 西安 710072;
2. 西北工业大学金属高性能增材制造与创新设计工信部重点实验室, 西安 710072;
3. 西北工业大学无人系统技术研究院-智能材料与结构研究所, 西安 710072

收稿日期:2017-07-03 修回日期:2017-09-08 出版日期:2018-01-15 发布日期:2018-01-15
通讯作者: 朱继宏,E-mail:jh.zhu@nwpu.edu.cn E-mail:jh.zhu@nwpu.edu.cn
基金资助:
国家自然科学基金（11432011，11620101002）；国家重点研发计划（2017YFB1102800）；陕西省重点研发计划（S2017-ZDYF-ZDXM-GY-0035）

Integrated layout and topology optimization design of multi-component structure system under harmonic force excitation

ZHU Jihong^1,2,3, ZHAO Hua¹, LIU Tao¹, ZHANG Weihong¹

1. State IJR Center of Aerospace Design and Additive Manufacturing, Northwestern Polytechnical University, Xi'an 710072, China;
2. MⅡT Laboratory of Metal Additive Manufacturing and Innovative Design, Northwestern Polytechnical University, Xi'an 710072, China;
3. Institute of Intelligence Material and Structure, Unmanned System Technologies, Northwestern Polytechnical University, Xi'an 710072, China

Received:2017-07-03 Revised:2017-09-08 Online:2018-01-15 Published:2018-01-15
Supported by:
National Natural Science Foundation of China (11432011, 11620101002); National Key Research and Development Pro-gram of China (2017YFB1102800); Key Research and Development Program of Shaanxi Province (S2017-ZDYF-ZDXM-GY-0035)

摘要/Abstract

摘要： 多组件结构系统整体优化设计通过协同优化支撑结构拓扑构型和组件布局来使结构系统的位移响应最小。本文提出通过模态加速度法（MAM）求解多组件结构系统的位移响应，并以位移响应值最小作为优化目标；引入多点约束（MPC）方法模拟组件与设计域间的铆钉或螺栓连接形式；采用有限包络圆法（FCM）来避免组件之间及组件与设计域边界产生干涉。建立了多组件结构系统整体优化问题的数学模型，并对动响应目标函数关于设计变量的灵敏度进行了推导。最后，通过几个算例验证了整体优化方法在简谐力激励下求解问题的可行性及其在实际问题中的有效性。

关键词: 整体优化, 简谐力激励, 多点约束, 有限包络圆法, 模态加速度法

Abstract: This paper presents an integrated layout and topology optimization of the multi-component structure system under harmonic force excitation. The configuration of the supporting structure and the component layout are simultaneously optimized to minimize the displacement responses that are obtained by using the Mode Acceleration Method (MAM). The Multi-Point Constraint (MPC) scheme is employed to simulate the rivets and bolts connecting components and supporting structures. The Finite Circle Method (FCM) is used to avoid overlaps among different components and boundaries of supporting structures. The mathematical model for the integrated layout and topology optimization of multi-component structure system is established, and the sensitivities of the objective function to design variables are deduced. Numerical examples are presented to demonstrate the effectiveness and validity of the proposed method for solving problems under harmonic force excitation.

Key words: integrated layout and topology optimization, harmonic force excitation, multi-point constraint, finite circle method, mode acceleration method

中图分类号:

V214.19

朱继宏, 赵华, 刘涛, 张卫红. 简谐力激励下多组件结构系统的整体优化设计[J]. 航空学报, 2018, 39(1): 221575-221575.

ZHU Jihong, ZHAO Hua, LIU Tao, ZHANG Weihong. Integrated layout and topology optimization design of multi-component structure system under harmonic force excitation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(1): 221575-221575.

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E-mail：hkxb@buaa.edu.cn

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简谐力激励下多组件结构系统的整体优化设计

Integrated layout and topology optimization design of multi-component structure system under harmonic force excitation

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[2]	张卫红, 郭文杰, 朱继宏. 部件级多组件结构系统的整体式拓扑布局优化[J]. 航空学报, 2015, 36(8): 2662-2669.
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