论文部分内容阅读
本文采用矩阵位移法,引入初内力的概念,提出并建立了初内力准则方程式,再运用线性叠加原理来简化分析计算杆件去除与内力变更时的空间网架结构。这种简捷计算法在所讨论的工况下只要一次性的建立、分解和应用网架结构的总刚度矩阵,无须重复多次建立和分解总刚度矩阵,从而使计算工作量成倍地甚至几十倍地大幅度减少。特别是当网架结构多根杆件同时断杆、依次先后断杆、预应力及分期分批施加预应力时,采用本文方法可更方便地求得各工况全过程的网架内力、变位及其变化规律。文中附有多个算例,计算结果表明本文提出的简捷计算法是正确、可靠和有效的。
In this paper, the concept of initial internal force is introduced by using the matrix displacement method, and the initial internal force criterion equation is proposed and established. The principle of linear superposition is then used to simplify the analysis and calculation of the space grid structure when the bar is removed and the internal force is changed. The simple calculation method can set up, decompose and apply the total stiffness matrix of the truss structure under the condition under discussion without having to repeatedly establish and decompose the total stiffness matrix, thus doubling or even calculating the computational workload Ten times reduced dramatically. Especially when the multi-rod structure of the grid structure breaks the bar at the same time, the broken bar, the prestressed bar and the prestressed force in phases are applied successively, the internal force of the grid can be more easily obtained by using the method of this paper. Bit and its changes. A number of examples are attached to the paper. The calculation results show that the simple and easy calculation method proposed in this paper is correct, reliable and effective.