葵花型索穹顶结构等效平面桁架静力计算方法

选取n次轴对称葵花型索穹顶结构的1/n,将空间轴对称结构等效为一次超静定平面桁架结构.给出了葵花型索穹顶结构撑杆不在同一径向上的内力和位移处理方法,推导了力法求解约束力的计算公式,提出了小变形时各点位移计算的位移传递矩阵和计算公式.最后,通过一个算例介绍了该方法的计算过程并与有限元计算结果进行了比较,内力和位移误差均在工程设计要求内,验证了方法的正确性和准确性.

THE EQUIVALENT PLANE TRUSS STATIC CALCULATION FOR LEVY DOMES

A 1/n part of the n-fold axisymmetrical Levy dome is equivalent to a statically indeterminate truss with one redundant degree. The methods to obtain the forces and the displacements of the struts in different radial directions are put forward, as well as the equations to calculate the constraint force. The displacement transfer matrix and the equation are derived. An example is given and the results are compared with those obtained by the FEM.