论文标题
在实时动态下结构中延迟差分 - 代数方程
Delay differential-algebraic equations in real-time dynamic substructuring
论文作者
论文摘要
混合数值实验测试是用于复杂动力结构的标准方法,一方面,由于复杂性和参数不确定性而不容易建模,另一方面,对于全尺度实验而言,太昂贵了。主要思想是在可以用数值方法和实验成分准确模拟的部分中细分结构。数值模拟和实验通过所谓的转移系统实时耦合,该系统将时间延迟到系统中。在本文中,我们研究了由此产生的混合数值实验系统的可溶性,该系统通常由一组非线性延迟差分差异方程来描述,并将现有结果从文献扩展到这种情况。
Hybrid numerical-experimental testing is a standard approach for complex dynamical structures that are, on the one hand, not easy to model due to complexity and parameter uncertainty and, on the other hand, too expensive for full-scale experiments. The main idea is to subdivide the structure in a part that can be accurately simulated with numerical methods and an experimental component. The numerical simulation and the experiment are coupled in real-time by a so-called transfer system, which induces a time-delay into the system. In this paper, we study the solvability of the resulting hybrid numerical-experimental system, which is typically described by a set of nonlinear delay differential-algebraic equations, and extend existing results from the literature to this case.