星冕仪制冷机黏弹性隔振平台的非线性振动建模分析  

Nonlinear vibration modeling analysis of viscoelastic vibration isolation platform for a cryocooler of the coronagraph

作　　者：张宏 刘宝禄[1,2] 许明明 窦江培[1,2] ZHANG Hong;LIU Baolu;XU Mingming;DOU Jiangpei(Nanjing Institute of Astronomical Optics&Technology,Chinese Academy of Sciences,Nanjing 210042,China;CAS Key Laboratory of Astronomical Optics&Technology,Chinese Academy of Sciences,Nanjing 210042,China;School of Astronomy and Space Science,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院南京天文光学技术研究所,南京210042 [2]中国科学院天文光学技术重点实验室,南京210042 [3]中国科学院大学天文与空间科学学院,北京100049

出　　处：《航天器环境工程》2023年第4期349-355,共7页Spacecraft Environment Engineering

基　　金：中国载人航天工程巡天空间望远镜专项科学研究(编号:CMS-CST-2021365 A11)。

摘　　要：中国空间站巡天望远镜(CSST)中的星冕仪模块能够实现系外行星直接成像,然而在轨运行期间其运动模块会产生微振动扰动而导致图像质量下降。文章针对航天载荷常用隔振系统进行非线性建模分析,针对黏弹性材料的Kelvin-Voigt模型进行非线性扩展,通过三阶谐波平衡法对本构方程求解。以微分形式建立了非线性Kelvin-Voigt模型的振动运动方程,对类似的设计假设以及工程应用提供了理论依据;模型分析结果表明,扩展后的非线性实体模型有效补充了非线弹性的微振动隔振系统设计理论,有助于提高工程设计的数据精度。Direct imaging of exoplanets can be achieved with the coronagraph module of the China Space Station Telescope(CSST).However,its motion module will generate micro-vibration disturbances during orbital operation,resulting in a decrease in the image quality of the coronagraph.In this paper,the nonlinear modeling analysis on the commonly-used vibration isolation system for spacecraft loads was carried out.The nonlinear expansion of Kelvin-Voigt model for viscoelastic materials was conducted.The constitutive equation was solved using the third-order harmonic balance method.The vibration equation of nonlinear Kelvin-Voigt model was constructed in differential forms,providing a theoretical foundation for analogous design assumptions and engineering applications.The model analysis show that the expanded nonlinear solid model effectively supplements the design theory of nonlinear elastic micro-vibration isolation system,which is conductive to enhance the engineering data accuracy.

关 键 词：星冕仪 巡天望远镜 非线性振动 Kelvin-Voigt模型 

分 类 号：O32[理学—一般力学与力学基础] V447[理学—力学]