A novel approach for shape control of membrane structures is presented to realize their use in three-dimensional and variable configurations. The shape control is accomplished by exciting a spinning membrane. The membrane forms a shape consisting of several vibration modes, depending on the input frequency, and the wave surface stands still when its frequency is synchronized with the spin rate; that is, the wave propagation and the spin cancel each other, resulting in a static wave surface in the inertial frame. This idea enables control of continuous membrane structures with large deformation using fewer actuators than conventional methods. This paper describes the general theory of the static wave-based shape control. The mathematical model of membrane vibration, the classification of control input, and the control system for exciting a static wave are summarized. The proposed method is demonstrated through a ground experiment. A 1 m large polyimide film is rotated and vibrated in a vacuum chamber, and the output shape is measured using a real-time depth sensor. It is shown that the observed shapes agree with numerical simulation results. An additional simulation that models the Japanese solar sail Interplanetary Kite-craft Accelerated by Radiation Of the Sun (IKAROS) demonstrates that the proposed method also works with a practically large-scale membrane in the space environment.

提出了一种膜结构形状控制的新方法，以实现它们在三维和可变配置中的使用。形状控制是通过激发旋转膜来实现的。薄膜形成由几种振动模式组成的形状，取决于输入频率，当其频率与自旋速率同步时，波面静止；即波的传播和自旋相互抵消，从而在惯性系中产生静态波面。这种想法能够使用比传统方法更少的致动器来控制具有大变形的连续膜结构。本文介绍了基于静态波的形状控制的一般理论。膜振动的数学模型，控制输入的分类，总结了激发静波的控制系统。通过地面实验证明了所提出的方法。1 m 大的聚酰亚胺薄膜在真空室中旋转和振动，并使用实时深度传感器测量输出形状。结果表明，观察到的形状与数值模拟结果一致。模拟日本太阳帆星际风筝飞行器（IKAROS）的额外模拟表明，所提出的方法也适用于空间环境中的实际大规模膜。结果表明，观察到的形状与数值模拟结果一致。模拟日本太阳帆星际风筝飞行器（IKAROS）的额外模拟表明，所提出的方法也适用于空间环境中的实际大规模膜。结果表明，观察到的形状与数值模拟结果一致。模拟日本太阳帆星际风筝飞行器（IKAROS）的额外模拟表明，所提出的方法也适用于空间环境中的实际大规模膜。