中文摘要：

提出了一种基于模型的预测-修正算法（M-Pc）用于子结构混合试验。M-Pc在预测时采用静力凝聚得到的边界刚度矩阵求解动力方程以得到预测位移，解决了传统差分方程无法预测静力边界位移的困难。M-Pc是一种非迭代式的算法，效率较高。首先介绍了M-PC积分算法的基本公式和进行子结构混合试验的具体步骤，然后通过门式框架的子结构数值试验和物理试验对M-PC算法进行验证。结果表明，M-Pc算法有效地预测静力边界位移，结构整体响应合理，正确地模拟了各子结构的非线性辑为，

英文摘要：

A model-based predictor and corrector algorithm （M-PC） is discussed and demonstrated in this study, which is taken as the time integration algorithm for substructure hybrid tests. The M-PC algorithm a- dopts statically-condensed stiffness to solve the equation of motion to predict the boundary displacements, thus solving the difficulty in predicting the response of static boundaries by traditional difference equations. The M- PC is a non-iterative algorithm and is time efficient. In this study, a numerical hybrid simulation and a physi- cal hybrid test were conducted on a portal moment frame. Both results demonstrate the effectiveness and accu- racy of the proposed algorithm when dealing with static boundary displacements.