Rosenbrock耦合积分方法及其收敛性分析

做为一种集计算机模拟和现场试验为一体的混合试验方法,实时子结构试验的关键在于如何保证数值子结构和试验子结构的实时耦联,这就需要高效的数值积分方法.文中在Rosenbrock实时积分方法的基础上,提出了一种具有完全并行计算格式的耦合积分方法.基于单自由度分离质量模型,对该耦合积分方法的稳定性和精度进行了理论分析.然后通过三自由度分离质量模型的模拟,验证了该方法的收敛性和其他算法性能.理论分析和数值模拟结果表明,该方法具有良好的稳定性和二阶精度,与直接积分方法相比更适合用于复杂结构的实时子结构试验及类似的并行模拟.

Rosenbrock-based coupled time integration method and its convergence analysis

Real-time substructring testing is under rapid development. is a hybrid computational-experimental technique, and its challenge is to ensure that the numerical substructure and the experimental substructure interact in real time, which requires efficient numerical integration methods. With this mind, based on the Rosenbrock real-time integrator, a coupled time integration method is proposed which enables completely parallel computation. By virtue of a Single-DoF split-mass test problem, stability and accuracy analyses are performed theoretically for the coupled method. Moreover, numerical simulations on a Three-DoF split-mass system are conducted to further investigate the convergence and other properties of the coupled method. The theoretical analysis and the numerical simulations reveal that the method exhibits favourable stability and second order accuracy. Compared with direct time integration methods, the proposed method is more suitable for Real-Time Substructuring Tests of complicated structures and relevant hybrid simulations.