Spatial stiffness realization with parallel springs using geometric parameters
Spatial stiffness realization with parallel springs using geometric parameters
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DOI：
10.1109/tra.2002.1019458
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发表时间：
2002-08
期刊：
影响因子：
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通讯作者：
K. Choi;Shilong Jiang;Zexiang Li
中科院分区：
文献类型：
--
作者：
K. Choi;Shilong Jiang;Zexiang Li
本文使用简单的线条弹簧研究了空间刚度矩阵的合成。开发了一种新的算法，该算法可以根据其位置和方向选择组成弹簧。然后研究线弹簧的约束空间。结果表明，一般而言，各向同性刚度矩阵可以分为两个等级3刚度矩阵的总和。可以选择第一个矩阵的三线弹簧以通过太空中的任何任意点，而第二个刚度矩阵的三个线弹簧位于四个表面上，这通常是一个薄板的倍曲底。
This paper investigates the synthesis of a spatial stiffness matrix using simple line springs. A new algorithm is developed, which enables the selection of constituent springs based on their positions and directions. The constraining space of the line springs is then investigated. It is shown that an isotropic stiffness matrix, in general, can be split into the sum of two rank-3 stiffness matrices. The three line springs of the first matrix can be selected to pass through any arbitrary points in space, while the three line springs of the second stiffness matrix lie on a quadric surface, which is usually a hyperboloid of one sheet.