长缝光谱仪主结构的稳健优化设计  

Robust optimization design of primary structures of long slit spectrometers

作　　者：龚雨兵[1,2,3] 杨世模[1] 陈志远[1] 

机构地区：[1]中国科学院国家天文台,北京100012 [2]桂林电子科技大学机电工程学院,广西桂林541004 [3]中国科学院研究生院,北京100049

出　　处：《光学精密工程》2009年第11期2638-2645,共8页Optics and Precision Engineering

基　　金：国家自然科学基金资助项目(No.10878018)

摘　　要：为了减轻长缝光谱仪(LSS)主结构的重量,保持结构响应的高稳定性,对LSS主结构进行了稳健优化设计。分析了结构尺寸加工公差和材料参数波动等不确定性因素对LSS主结构稳健性的影响;调整结构尺寸加工公差,建立以结构质量为目标,以结构频率为约束的LSS主结构稳健优化模型,应用蒙特卡罗模拟方法和蚁群优化算法对稳健优化模型进行优化求解。结果表明,稳健优化后的结构质量为33kg,比初始质量减少17.5%;频率为77Hz。稳健优化最优结构质量较确定性优化略高,但结构响应更为稳定,具备抵抗尺寸波动和材料参数波动的能力,满足设计要求。采用的设计方法对类似结构的稳健优化设计有参考意义。In order to minimize the mass of primary structure of a Long Slit Spectrometer （LSS）, and to improve the robustness of structural response, the primary structure of the LSS was optimized based on robust optimization methods. The effects of the structure geometry tolerance and material property tolerance on the structure robustness were analyzed. Accordingly the structure geometry tolerance which has significant sensitivity to the structure robustness was adjusted. The robust optimization model of primary structure of the LSS with the constrained conditions of the fundamental frequency and the objective function of total mass was established. A Monte Carlo simulation and an ant colony optimization algorithm were applied to solve the optimization model. Experimental results show that the optimized structure has reduced the mass by about 17.5% compared to the original design. Although the mass of the optimal robust design is larger than the mass obtained by deterministic based optimization, it is insensitive to variations on design variables within a feasible region. The optimal robust structure design satisfies design requirements.

关 键 词：长缝光谱仪(LSS) 稳健优化 蒙特卡罗 有限元分析 

分 类 号：P111.3[天文地球—天文学] TH744.1[机械工程—光学工程]