基于全局灵敏度的高效一体式隔振超结构不确定性分析

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (20) : 334-342.

论文

基于全局灵敏度的高效一体式隔振超结构不确定性分析

王东贤，赵建雷，赵伟佳，朱睿

作者信息 +

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

WANG Dongxian, ZHAO Jianlei, ZHAO Weijia, ZHU Rui

Author information +

文章历史 +

摘要

以控制力矩陀螺(CMG)等为代表的航天器执行机构能产生微扰振，后者直接影响光学载荷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。本文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(HOSPSCPE)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(MCM)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，我们进行了不确定性灵敏度分析方法的实验验证。结果表明，我们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。

Abstract

Spacecraft actuators like Control Moment Gyroscopes (CMGs) can generate micro-vibrations, which directly affect the imaging quality of the space optical instruments and even the lifespan of key components of the 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 is proposed, which can accurately quantify the vibration isolation performance deviation caused by the manufacturing uncertainty. First, an efficient global sensitivity analysis method is proposed by combining high-order sparse point interval Chebyshev polynomial expansion (HOSPSCPE) with variance based Sobol's sensitivity index. Comparing with the traditional Monte Carlo (MCM) 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 are carrying out. The results indicate that our proposed uncertainty analysis method based on global sensitivity can provide useful and efficient guidance for the design and manufacturing of vibration-isolating metastructures.

导出引用

王东贤, 赵建雷, 赵伟佳, 朱睿. 基于全局灵敏度的高效一体式隔振超结构不确定性分析[J]. 振动与冲击, 2024, 43(20): 334-342

WANG Dongxian, ZHAO Jianlei, ZHAO Weijia, ZHU Rui. Highly efficient uncertainty analysis of an integrated vibration-isolating metastructure based on global sensitivity[J]. Journal of Vibration and Shock, 2024, 43(20): 334-342

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