Abstract: An experimental system for an inverted pendulum with a location-limit was designed and developed. The mechanical model of the system was established. Through experiments and numerical analysis, the responses of the system in the cases of periodic and random excitations are discussed. Some complicated nonlinear dynamic behavior of the system is revealed. It is found that the noise has some impact on the system behavior. The conclusions will be useful for design and analysis of the structures with gaps.

Key words: vibration and wave, a location limit, gap, inverted pendulum, piecewise linear, random excitation

摘要： 设计研制一个带限位的倒摆实验系统，建立 该系统的力学模型，通过实验与数值分析的研究，讨论周期与随机激励情况下的各种响应，证实所建立模型的正确性，揭示该系统存在复杂的非线性动力学行为，并指出噪声对系统非线性动力学行为的影响。研究结果将为带有间隙结构的设计和间隙结构动力学分析提供参考。

关键词: 振动与波, 限位, 空隙, 倒摆, 分段线性, 随机激励