为区别常规冗余度概念,给出了弹性冗余度定义.鉴于杆系结构的弹性冗余度与几何拓扑及弹性刚度有关,通过对势能方程求解微分,得到结构的平衡方程、物理方程和几何协调方程;将几何协调方程线性化,代入平衡方程和物理方程,得到弹性冗余度的计算公式,并用Matlab编程实现该算法.经典算例揭示了杆系结构的弹性冗余度特性.
The elastic redundancy is defined first, which is different from the conventional geometrical re- dundancy. Because the elastic redundancy of the pin-jointed bar structures is dependent not only on the elastic stiffness but also on the geometry topology. The governing equations of equilibrium equation, phys- ical equation and geometric equation are formulated from differential of the potential energy equation. Af- ter linearizing the geometry equation, and substituting it into the other two equations, the elastic redun dancy formula is yielded. The presented algorithm is implemented with matlab. The benchmark examples unveil the characteristics of the elastic redundancy of the pin-jointed bar structures.