Recent developments in micro- and nano-satellites have attracted the interest of the research community worldwide. Many colleges and corporations have launched their satellites in space. Meanwhile, the space flexible ...Recent developments in micro- and nano-satellites have attracted the interest of the research community worldwide. Many colleges and corporations have launched their satellites in space. Meanwhile, the space flexible probe-cone docking system for micro- and nano-satellites has become an attractive topic. In this paper, a dynamic model of a space flexible probe-cone dock- ing system, in which the flexible beam technology is applied, is built based on the Kane method. The curves of impact force versus time are obtained by the Lagrange model, the Kane model, and the experimental method. The Lagrange model was presented in the reference and verified by both finite element simulation and experiment. The results of the three methods show good agreements on the condition that the beam flexibility and the initial relative velocity change. It is worth mentioning that the introduction of vectorial mechanics and analytical mechanics in the Kane method leads to a large reduction of differential operations and makes the modeling process much easier than that of the Lagrange method. Moreover, the influences of the beam flexibility and the initial relative velocity are discussed. It is concluded that the initial relative velocity of space docking operation should be controlled to a certain value in order to protect the docking system.展开更多
本文将 Kane 动力学方法与假设模态法相结合.给出一种分析机器人手臂弹性动力学的新方法.首先基于 Kane 方法的运动学概念,并应用假设模态法建立了手臂弹性运动学.推导出完整的弹性动力学方程.并以一简例说明了其应用过程.这种方法比较...本文将 Kane 动力学方法与假设模态法相结合.给出一种分析机器人手臂弹性动力学的新方法.首先基于 Kane 方法的运动学概念,并应用假设模态法建立了手臂弹性运动学.推导出完整的弹性动力学方程.并以一简例说明了其应用过程.这种方法比较简洁,兼具 Lagrange 法和 Newton-Euler 法的优点而克服了其不足,便于计算机数值分析.展开更多
基金supported in part by the National Natural Science Foundation of China (Nos. 91216201, 51205403)
文摘Recent developments in micro- and nano-satellites have attracted the interest of the research community worldwide. Many colleges and corporations have launched their satellites in space. Meanwhile, the space flexible probe-cone docking system for micro- and nano-satellites has become an attractive topic. In this paper, a dynamic model of a space flexible probe-cone dock- ing system, in which the flexible beam technology is applied, is built based on the Kane method. The curves of impact force versus time are obtained by the Lagrange model, the Kane model, and the experimental method. The Lagrange model was presented in the reference and verified by both finite element simulation and experiment. The results of the three methods show good agreements on the condition that the beam flexibility and the initial relative velocity change. It is worth mentioning that the introduction of vectorial mechanics and analytical mechanics in the Kane method leads to a large reduction of differential operations and makes the modeling process much easier than that of the Lagrange method. Moreover, the influences of the beam flexibility and the initial relative velocity are discussed. It is concluded that the initial relative velocity of space docking operation should be controlled to a certain value in order to protect the docking system.
文摘本文将 Kane 动力学方法与假设模态法相结合.给出一种分析机器人手臂弹性动力学的新方法.首先基于 Kane 方法的运动学概念,并应用假设模态法建立了手臂弹性运动学.推导出完整的弹性动力学方程.并以一简例说明了其应用过程.这种方法比较简洁,兼具 Lagrange 法和 Newton-Euler 法的优点而克服了其不足,便于计算机数值分析.
