Evaluation of transient response of spinning solar sail with flexible membrane by eigenfunction analysis and continuum analysis
Evaluation of transient response of spinning solar sail with flexible membrane by eigenfunction analysis and continuum analysis
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通过本征函数分析和连续介质分析评估柔性膜旋转太阳帆的瞬态响应
DOI：
10.1016/j.actaastro.2016.06.042
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发表时间：
2016
影响因子：
3.5
通讯作者：
J. Kawaguchi
中科院分区：
文献类型：
--
作者：
T. Chujo;J. Kawaguchi
本研究通过两种不同的方法评估了空间中大型旋转膜结构的瞬态响应-特别是旋转太阳帆。挠性帆膜在航天器姿态变化时（例如使用推进器时）容易变形，并且必须在操作之前估计包括膜振动的控制响应。为了估计膜的运动，使用多粒子模型（MPM）进行数值模拟，其中膜用质量、弹簧和阻尼器建模。通常，在该模型中直接计算力的传播，并且每个颗粒的位置和速度代表膜运动，这在本研究中被称为连续分析。该方法用简单的运动方程代替了复杂的动力学方程，对薄膜振动的分析是很有用的。然而，计算成本很高，并且计算需要相当多的时间。本研究引入本征函数分析来解决这个问题。在该方法中，固有振动模式和固有频率的整个航天器的推导和用于动力学计算，这大大降低了计算成本相比，传统的连续体分析。在这项研究中，自旋太阳帆的瞬态响应分析使用这两种方法，并讨论了各自的优点和缺点。结果表明，本征函数分析提供了一个合适的方法，在一个非常低的计算时间获得近似解。
This study evaluates the transient response of large spinning membrane structures in space – especially spinning solar sails – by two different methods. A flexible sail membrane is easily deformed when a spacecraft changes its attitude, such as when using thrusters, and the control response including membrane vibration must be estimated in advance of operation. In order to estimate the motion of the membrane, numerical simulations using a multi-particle model (MPM) are conducted, where the membrane is modeled with masses, spring, and dampers. Usually, force propagation is calculated directly in this model and the position and velocity of each particle represent the membrane motion, which is referred to as a continuum analysis in this study. This method is useful for the analysis of membrane vibration because it replaces the complex dynamics with simple equations of motion. However, the computational cost is high and the calculations require a considerable amount of time. This study introduces an eigenfunction analysis to solve this problem. In this method, natural vibration modes and natural frequencies for the entire spacecraft are derived and used for dynamics computation, which reduces the computational cost dramatically compared to the conventional continuum analysis. In this study, the transient response of a spinning solar sail is analyzed using both methods, and the advantages and disadvantages are discussed. It is shown that the eigenfunction analysis provides a suitable method for acquiring approximate solutions in a very low computation time.