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用对偶变换矩阵和同一性条件进行空间机构的位移分析
Displacement Analysis of Spatial Mechanisms Using Dual-Transformation Matrices and Geometry of Mechanism
【摘要】 本文利用3×3对偶变换矩阵进行旋量的坐标变换,根据机构的同一性条件建立位移方程,并在求解过程中引进旋量的直角坐标进行旋量的乘法运算。这种方法既发扬了用同一性条件可较直接地建立位移方程[4]的优点,又避免了用对偶矩阵环形方程式建立位移方程[1]时比较累赘的缺点;并使得某些空间连杆机构的位移分析过程具有建立方程较直接、思路明晰、求解简单等特点。
【Abstract】 In this paper the (3×3) dual-transformation matriceshave been used for tranforming coordinates of screw, the displacement equationshave been built up on the basis of geometry of mechanism, and rectangularcoordinatcs of screw have been introduced into multiplication of screw in thecourse of rinding solutions. This method has not only developed the merit ofbuilding updisplacement equations directly according to geometry of mechanismbut also avoided the defect of building up displacment equations rather cumber-somely on the authority of dual-matrix loop equation. This method makes thedisplacement analysis procedure of some spatial link mechanisms have somecharacteristics, suchas, clearness of the line of thought, directness of buildingup displacement equations, and simplicity of finding solutions.
【Key words】 Orthogonal Array; Space Mechanisms; Kinematic Analysis of Mechanism;
- 【文献出处】 南京理工大学学报(自然科学版) ,Journal of Nanjing University of Science and Technology , 编辑部邮箱 ,1985年01期
- 【被引频次】1
- 【下载频次】46