The stability analysis of dynamic continuous structural system (DCSS) has often been investigated by discretizing it into several low-dimensional elements. The integrated results of all elements are employed to describe the whole dynamic behavior of DCSS. In this paper, DCSS is regarded as the complex dynamic network with the discretized elements as the dynamic nodes and the time-varying stiffness as the dynamic link relations between them, by which the DCSS can be regarded to be the large-scale system composed of the node subsystem (NS) and link subsystem (LS). Therefore, the dynamic model of DCSS is proposed as the combination of dynamic equations of NS and LS, in which their state variables are coupled mutually. By using the model, this paper investigates the stability of DCSS. The research results show that the state variables of NS and LS are uniformly ultimately bounded (UUB) associated with the synthesized coupling terms in LS. Finally, the simulation example is utilized to demonstrate the validity of method in this paper.

中文翻译：

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基于时变刚度动力学复杂网络的离散结构系统稳定性分析

动态连续结构系统 (DCSS) 的稳定性分析经常通过将其离散为几个低维元素来研究。所有元素的综合结果被用来描述DCSS 的整个动态行为。本文将DCSS看作以离散元素为动态节点，以时变刚度为动态链接关系的复杂动态网络，由此DCSS可以看作是由以下部分组成的大规模系统节点子系统（NS）和链路子系统（LS）。因此，DCSS 的动态模型被提出为 NS 和 LS 的动态方程的组合，其中它们的状态变量相互耦合。本文利用该模型研究了DCSS的稳定性。研究结果表明，NS 和 LS 的状态变量与 LS 中的合成耦合项相关联的一致最终有界（UUB）。最后通过仿真算例验证了本文方法的有效性。