Experimental Studies in Mechanical Systems Under Harmonic and Stochastic Excitations

这个研究项目包括建立一个实验室 研究噪音之间复杂相互作用的设施， 机械系统固有的稳定性和非线性动力学。 具体而言，研究工作包括： 两个非线性力学模型的行为实验。 一种是研究旋转轴的横向振动 在脉动轴向载荷下，另一个是动力学， 薄板扭转和弯曲耦合振动的控制 非保守力作用下的梁实验测量 包括导致诸如均方响应统计的数据 和功率谱密度;李雅普诺夫指数，分形 响应坐标的维数和相关函数; 以及概率密度和分布函数。的 实验室满足了提高实验技能的需要 在动力学和控制领域的研究生的人数。*//

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.***//