非线性精细积分方法及其在拟动力试验中的应用

Nonlinear precise integration method and its application in pseudodynamic test of structures

将精细积分方法和预估-校正Adams-Bashforth-Moulton多步法相结合,构造了一种避免状态矩阵求逆、隐式预估-校正、四阶精度的精细积分多步法,可用于多自由度结构体系的非线性地震反应分析。基于精细积分多步法,构造了一种实用的显式拟动力试验数值积分方法,该方法在成倍地增大时间步长后的计算精度比中心差分法高,稳定性较好,试验工作可大量减少。最后,将显式方法应用于组合筒体结构拟动力试验中。

Combining precise integration method and Adams-Bashforth-Moulton's predict-correct multi-step method,a precise integration method for nonlinear dynamic equations was put forward,it was implicit predict-correct,with four order accuracy,multi-step and not calculating inversion of state matrix.Based on the advanced multi-step method of nonlinear precise integration,a new applicable numerical integration method for pseudodynamic test of structures was constructed.Its accuracy was superior to center difference method by enlarging time step twice or fourfold and its stability also was better.Thus,the testing task would be largely reduced.Finally,a pseudodynamic test of a combined tube structure was performed with the proposed method.