框架结构二阶位移效应数值解

Numerical Solution to Second-Order Displacement of Frame Structure

通过静力凝聚法 ,得到框架结构的弹性平移刚度矩阵和水平运动平衡方程 ,并用 Gramer法则确定结构各层抗推刚度 .在此基础上 ,根据转角位移方程、叠加原理和迭代方法计算二阶位移 ,分析 P- Δ效应使结构层转角变化对层间位移的影响 .该解法计算结果逼近精确解 ,误差为 0 .5 %左右 ,适用性好。

The stiffness matrix of elastic translation and the equilibrium equation of horizontal movement of frame structure are obtained by applying the method of static condensation. The antithrust stiffness of each storey of the structure is determined by applying Gramer rule. On this basis, second order displacement is calculated according to equation of corner displacement, principle of superposition and iteration. An analysis is given to the influence of P Δ effect induced corner change in structural storey on relative storey displacement. The reckoning of this solution approaches the precise solution with an error about 0.5%. It is good in usability, small in amount of calcualtion, and easy of realization