平面杆组动力分析的新探讨

本文扩展了杆组型转化的概念,提出了在杆组中解除两种状态的运动键的约束,使杆组得到型转化。对应于动力计算的意义,即在杆组中存在两种状态的虚拟力,即虚拟运动副中一个约束反力或两个约束反办为已知。此时,需有与虚拟力数目相同的平衡力矩施加于杆组,使杆组保持平衡。 本文用虚功原理证明了转化运动链中虚拟力系与平衡力矩的线性关系,找出维数等于虚拟力总数m的线性方程组的表达式,并找出虚拟力系实值直接求解的表达式。 文中亦讨论了虚拟力系间接求解的方法。 最后,对于平面杆组的型转化特征作了探讨。

ABOUT DYNAMIC ANALYSIS OF PLANAR ASSUR GROUPS

The conception of type transformation of plana, Assur Groups has been developed in this paper. The new type transformation of Assur group is based on that you may remove two types of kinematic chains from the group to form a tranfferred Kinematic chain. Referring to the meaning of dynamical analysis, two types of hypothetic forces ( the reaction components in the pair ) which magnitudis are assumed to be Known, may exsist in the groups, and the total number of hypothelic forces are m meanwhiles, balancing moments showld be imposed on m lisks of the transferred chain so as to keep it in equilibrium.By means of the principle of virtual work the linear relation between hypothtic forces and balancing moments has been proved and a matrix expression has bsen found in this paper. The solution of real value of hypothetic forces is obtained. Formulae of relatire displacements which appear in expressions are derived in the paper.Some characters of type transformation theory of Assur groups are discused, and it is of help for the analysis of mechanisms with multiple links and imputs.