弦・剛体系の運動解析に関する研究(機械力学,計測,自動制御)
弦・剛体系の運動解析に関する研究(機械力学,計測,自動制御)
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弦与刚性系统运动分析研究（机械动力学、测量、自动控制）
DOI：
10.1299/kikaic.69.349
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
潔 曽我部
中科院分区：
文献类型：
--
作者：
竹原 昭一郎;佳明 曄道;公博 能見;潔 曽我部
本文讨论了由弦和末端刚体组成的系统的运动。太空中的绳系子卫星就是这种系统的一个例子。用绝对Nodai坐标方法描述平面运动中的弦。这种方法很容易描述具有大变形、旋转和平移位移的弦的运动。弦运动影响刚体的运动。换句话说，连接点受字符串末尾的约束。因此，用微分代数方程来计算系统的运动。首先，针对一个简单的情况，模拟了具有大变形、旋转和平移位移的弦的运动。数值计算结果与实验结果定性地吻合。其次，对具有刚体的弦、与刚体不产生挠度的弦和具有简单质量的弦的几种情况进行了仿真。在这些情况下，弦的一端水平移动。从而从数值上阐明了弦挠度与刚体转动相互作用的机理。
In this paper we discuss about motion of a system consisting of a string and rigid bodies at its end. A tethered subsatellite in space is known as an example of this system. The string in planar motion is described by using Absolute NodaI Coordinate method. In this method, it is easy to describe the motion of the string with a large deformation, rotation and translation displacement. The string motion influences the motion of the rigid bodies. In other words, the connection point is constrained by the end of the string. Therefore the motion of the system is calculated using differential algebraic equations. First, the motion of the string with a large deformation, rotation and translation displacement is simulated for a simple case. The numerical results agreed with the experimental results qualitatively. Second, the simulations for the some cases of a string with rigid bodies, a string that doesn't have deflection with rigid bodies, and a string with a simple mass are performed. In these cases, an end of the string moves horizontally. As a result, the mechanism of the interaction between the string deflection and the rigid bodies rotation is made clear numerically.