摘要
提出了计时刚体导引平面三构件组近似运动综合的广义逆矩阵－ 连续法。首先建立了计时刚体导引平面三构件组近似运动综合方程组，然后用广义逆矩阵将该近似运动综合方程组转化为六元二次多项式方程组；采用连续法可求得该六元二次多项式方程组的所有解，其中满足精度要求的解便构成计时刚体导引平面三构件组近似运动综合的所有方案。
Kinematic synthesis of planar for body guidance with timing is essential for dynamic balancing of planar linkages by adding dyad and kinematic synthesis of multi loop planar linkages.An approach is pro posed to quickly find all the solutions to approximate kinematic synthesis of planar triads for body guidane with timing. A set of equations for approximate kinematic synthesis of planar triads for body guidance with timing is formulated and converted into a set of six quadratic polynomial equations in six unknowns using generalyzed inverse. The set of equations obtained can be easily solved using 1 homogeous continuation by tracking 64 paths or using parameter continuation by tracking 17 paths. All the possible solutions to approximate kinematic synthesis of planar triads for body guidance with timing can thus be obtained.
出处
《机械传动》
CSCD
北大核心
1999年第2期5-6,18,共3页
Journal of Mechanical Transmission
基金
河南省教委自然科学基础研究项目河南省教委自然科学基础研究项目
关键词
近似运动综合
连续法
广义逆矩阵
机构综合
Approximate kinematic synthesis Continuation Generalized inverse Dynamic balancing
