机构结构新旧自由度计算公式对比之应用研究

Comparable Study and Application on New and Old Formulas of Calculating DOFs of Mechanisms and Structures

通过对机构结构新旧自由度计算公式的对比研究及应用发现:新公式和库兹巴赫.格鲁巴(Kutzbach Qruber)公式是正确的。这2个公式能计算所有平面、空间机构结构的自由度,用这2个公式计算的非圆齿轮液压马达、奥迪A6轿车01V自动变速器行星排机构、六角形6-SPS和三角形6-RUS空间并联机构及平面、空间结构力学习题集的自由度,都取得了正确的计算结果。

According to comparable study and application on new and old formulas for calculating DOFs of mechanisms and structures,the new formula was proved to be correct,as well as Kutzbach Qrubler Formula.These two formulas work for all the DOF calculation in plain and space mechanisms,and reveal the basic law of kinetic mechanisms and structures.With the new formula,the structures and number of DOFs was checked correctly in non-circular gear hydraulic motor,in AUDI 01V auto transmission planet row,hexagon 6-SPS and triangle 6-RUS spatial parallel mechanism and problem sets for plane and space structural mechanics.