静定和静不定杆系结构中节点位移的一种计算方法

将速度投影定理推广到弹性杆,通过定义杆的单位向量,建立了杆端点的位移与杆轴向变形的几何关系,用此关系计算杆系结构的节点位移和建立静不定杆系结构的变形协调方程具有程式化和普遍性的特点,避免了绘制位移图和寻找几何关系的繁琐。算例表明该方法的优越性。

A Method for Calculating Node Displasement of Statically Determinate and Statically Indeterminate Structure of Bar System

This paper introduces the promoting theorem of projection velocities to elastic bar,through defining the unit vector,to build the geometrical relations between the bar end's displacement and axial deformation of the bar.By using this relations,we can calculate node displacement of the statically indeterminate structure of bar system and to build compatibility equation of deformation of the statically indeterminate structure of bar system which possesses conventional and general features,to avoid painting displacement diagram and finding trivial geometric relation.The examples displays the advantages of the method.