采用刚体运动学的结构几何构造分析解析方法

提出一种基于刚体运动学方法描述刚体的位置,用线性代数方法分析结构体系的多余约束和自由度的结构几何构造分析解析方法.结果表明:文中方法可以计算系统多余约束和自由度的数量,还可以具体确定多余的约束和缺少必要约束的自由度;文中方法与几何方法具有明确的对应关系,概念简单,应用范围不受限制,更具有一般性,可以直接应用于空间问题.

Analytic Method of Structural Geometrical Construction Analysis Based on Kinematics

The position of rigid body is described based on rigid body kinematics, the redundant constraints and degrees of freedom of structural system are analyzed by linear algebraic method. The results show that the proposed method can calculate the numbers of redundant constraints and degrees of freedom, and can also specifically determine the redundant constraints and degrees of freedom without necessary constraints; the proposed method has a clear corresponding relationship with the geometric method, simple concept, unlimited application scope and more generality, it can be directly applied to space problems.