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基于绳索作动器的大型太空望远镜桁架结构的振动主动控制
引用本文:唐颖卓,卢光宇,蔡国平.基于绳索作动器的大型太空望远镜桁架结构的振动主动控制[J].应用数学和力学,2022,43(2):123-131.
作者姓名:唐颖卓  卢光宇  蔡国平
作者单位:上海交通大学 海洋工程国家重点实验室 工程力学系,上海 200240
基金项目:国家自然科学基金(12172214,12102252);中国博士后科学基金(2021M692070)。
摘    要:薄膜衍射是一种新型的太空望远镜的成像方式,它具有轻质、易折叠与展开、光学成像精度高等许多优点,是当今太空望远镜技术的研究热点。该文针对一类薄膜衍射太空望远镜桁架结构的振动主动控制进行了研究,提出了一种基于绳索作动器的振动主动控制策略。首先建立了望远镜桁架结构的动力学模型,然后采用粒子群优化算法研究了绳索作动器的优化布置,进而采用最优控制方法设计了结构振动的主动控制律,最后通过数值仿真验证了所给出方法的有效性,并详细研究了绳索作动器数量与结构振动稳定时间之间的对应关系。

关 键 词:太空望远镜桁架结构    绳索作动器    优化布置    振动控制
收稿时间:2021-07-28

Active Vibration Control of Truss Structures for Large Space Telescopes Based on Cable Actuators
TANG Yingzhuo,LU Guangyu,CAI Guoping.Active Vibration Control of Truss Structures for Large Space Telescopes Based on Cable Actuators[J].Applied Mathematics and Mechanics,2022,43(2):123-131.
Authors:TANG Yingzhuo  LU Guangyu  CAI Guoping
Institution:Department of Engineering Mechanics, State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China
Abstract:The membrane diffraction is a new imaging method for space telescopes.It makes a hot research topic in space telescope technology with lots of advantages,such as light weight,easy foldability and high optical imaging accuracy.The active vibration control of the truss structure of a kind of membrane diffraction space telescope was investigated,and an active vibration control strategy was proposed based on cable actuators.Firstly,the dynamic model for the telescope truss structure was established.Then the particle swarm optimization algorithm was used to study the arrangement optimization of cable actuators.The active control law for the structure vibration was designed with the classical linear quadratic regulator method.Finally,the numerical simulation results verify the effectiveness of the proposed method.In the numerical simulations,the relationship between the number of cable actuators and the required time for the structure to regain stability was studied in detail.
Keywords:space telescope truss structure  cable actuator  arrangement optimization  vibration control
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