非线性精细积分方法及其在拟动力试验中的应用

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，将本文显式方法应用于组合筒体结构拟动力试验中。

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

Combining the precise integration method and Adams-Bashforth-Moulton’s predict-correct multi-step method, we put forward a precise integration method for nonlinear dynamic equations, which is implicit predict-correct, four order accuracy and multi-step method avoiding calculating the inversion of the state matrix. Based on the advanced multi-step method of nonlinear precise integration, a new applied numerical integration method for pseudodynamic test of structures is raised. Its accuracy is superior to center difference method by enlarging time step twice or fourfold and its stability is better. Thus, the testing work would be largely reduced. Finally, a pseudodynamic test of combined tube structure has been executed with the explicit multi-step method.