航空学报 > 2010, Vol. 31 Issue (9): 1769-1775

随机振动响应下的组件结构布局优化设计

吕奇峰, 张卫红, 张桥, 朱继宏   

  1. 西北工业大学 现代设计与集成制造技术教育部重点实验室
  • 收稿日期:2009-09-28 修回日期:2010-01-29 出版日期:2010-09-25 发布日期:2010-09-25
  • 通讯作者: 张卫红

Layout Design Optimization of Component Structure with Random Vibration Response

Lu Qifeng, Zhang Weihong, Zhang Qiao, Zhu Jihong   

  1. The Key Laboratory of Contemporary Design and Integrated Manufacturing, Northwestern Polytechnical University
  • Received:2009-09-28 Revised:2010-01-29 Online:2010-09-25 Published:2010-09-25
  • Contact: Zhang Weihong

摘要: 从工程应用需求出发,研究了随机振动载荷作用下的组件结构布局优化问题。提出采用有限包络圆族描述组件外形轮廓的近似方法,有效解决了设计过程中预防组件干涉的问题;建立了随机振动响应分析有限元模型,并对模型进行了实验验证与结果分析。在此基础上,以随机振动载荷下特定点自由度响应均方根(RMS)值之和最小为目标函数建立了组件布局通用优化设计模型,研究了单一组件与4组件问题的布局优化问题,并分别采用梯度优化算法和遗传算法进行优化求解比较研究。结果表明,所提出的设计方法能够有效地实现随机振动响应下的组件结构布局优化设计,两种优化算法均能显著降低结构关键部位的动力学响应。

关键词: 组件, 随机振动, 布局优化, 动力学响应, 功率谱密度

Abstract: This article is focused on the component layout design optimization under random excitations to fulfill the requirements of engineering applications. In order to solve problems related to the overlapping of components during the design process, finite circle approximations are proposed to describe the exterior contour of each component. Furthermore, a finite element model is established to predict the responses under random excitations. The model and the numerical results are validated experimentally. Based on this, a general optimization model is established by defining the objective function as the minimization of the sum of the root mean square (RMS) response measured on the degrees of freedom (DOFs) of specific points of the components. Layout optimization problems with one component and four components are studied. The gradient optimization algorithm and genetic algorithm are used to solve both problems. The results show that the proposed method can deal efficiently with the layout design optimization of component structures with random vibration responses. Both optimization algorithms can reduce significantly dynamic responses at key locations of the component structure.

Key words: components, random vibration, layout optimization, dynamic response, power spectral density

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