Experimental Studies in Mechanical Systems Under Harmonic and Stochastic Excitations

这项研究项目涉及开发一个实验室设施，以研究机械系统固有的噪声、稳定性和非线性动力学之间的复杂相互作用。具体来说，研究工作包括对两个非线性力学模型的行为进行动力学实验。一个是在脉动轴向载荷作用下转轴的横向振动，另一个是在非保守力作用下薄梁的扭转和弯曲耦合振动的动力学和控制。实验测量包括导致统计的数据，如均方响应和功率谱密度；响应坐标的Lyapunov指数、分维和关联函数；以及概率密度和分布函数。该实验室满足了研究生在动力学和控制领域提高实验技能的需要。

This research project involves the development of a laboratory facility to investigate the complex interactions between noise, stability and nonlinear dynamics inherent in mechanical systems. Specifically, the research work consists of conducting dynamics experiments on the behavior of two nonlinear mechanical models. One deals with the transverse vibrations of a rotating shaft under pulsating axial loads, and the other is the dynamics and control of coupled torsional and bending vibrations of a thin beam under nonconservative forces. Experimental measurements include data leading to statistics such as mean square responses and power spectral densities; Lyapunov exponents, fractal dimensions and correlation functions of the response coordinates; and probability density and distribution functions. The laboratory meets the needs of enhancing the experimental skills of graduate students in the areas of dynamics and control.***//