基于全局灵敏度的高效一体式隔振超结构不确定性分析  

Highly efficient uncertainty analysis of an integrated vibration-isolating metastructure based on global sensitivity

作　　者：王东贤 赵建雷 赵伟佳 朱睿 WANG Dongxian;ZHAO Jianlei;ZHAO Weijia;ZHU Rui(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学宇航学院,北京100081

出　　处：《振动与冲击》2024年第20期334-342,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(U22B2078,12202052);国家重点研发计划(2021YFE0110900)。

摘　　要：以控制力矩陀螺等为代表的航天器执行机构能产生微扰振,后者直接影响光学荷载的成像精度和航天器关键部件的寿命,从而降低航天器的核心性能。一体式隔振超结构展现出了优异的隔振性能,但是由制造误差带来的几何不确定性会影响其隔振频带和隔振效果。该研究提出一种基于全局灵敏度的高效不确定性分析方法,能够在隔振超结构设计过程中准确地量化由制造误差带来的隔振性能偏差。首先,将高阶的稀疏点区间切比雪夫多项式展开与基于方差的Sobol’灵敏度指数相结合得到一种高效的全局灵敏度分析方法。该方法与传统蒙特卡洛灵敏度分析方法相比计算效率提高了三个数量级。其次,通过忽略全局灵敏度指数较小的区间变量,大大减少了由复杂单元组成的超结构不确定性分析的工作量。最后,进行了不确定性灵敏度分析方法的试验验证。结果表明,所提出的基于全局灵敏度的不确定性分析方法可为隔振超结构的设计与制造提供高效指导。Spacecraft actuators like control moment gyroscopes can generate micro-vibrations,which directly affect the imaging quality of space optical instruments and even the lifespan of key components of a spacecraft.Eventually,the key performance of the spacecraft can be affected.Although the integrated metastructure exhibits excellent vibration isolation ability,the manufacturing uncertainty on the complex geometry can affect the overall vibration isolation performance.In this paper,an efficient uncertainty analysis method based on global sensitivity was proposed,which can accurately quantify the vibration isolation performance deviation caused by the manufacturing uncertainty.First,an efficient global sensitivity analysis method was proposed by combining high-order sparse point interval Chebyshev polynomial expansion with variance-based Sobol’s sensitivity index.Comparing with the traditional Monte Carlo sensitivity analysis methods,this method improves computational efficiency by three orders of magnitude.Second,by ignoring the interval variables with smaller global sensitivity indices,the efficiency of the uncertainty analysis for complex metastructures can be further enhanced.Finally,experimental validations were carried out.The results indicate that the proposed uncertainty analysis method based on global sensitivity can provide useful and efficient guidance for the design and manufacturing of vibration-isolating metastructures.

关 键 词：隔振超结构 不确定性分析 全局灵敏度分析 切比雪夫多项式 增材制造 

分 类 号：TB123[理学—工程力学]