Some interesting results on vibration and stability of distributed structural systems, vibration-based damage detection, and infinitely variable transmission will be reviewed. Vibration and stability of translating media with time-varying lengths and/or velocities will be addressed. Two types of dynamic stability problems are considered: dynamic stability of translating media during extension and retraction, and parametric instabilities in distributed structural systems with periodically varying velocities. The incremental harmonic balance method is used for high-dimensional models of nonlinear distributed systems with general nonlinearities. A new spatial discretization and substructure method, which ensures that all the matching conditions of distributed components are satisfied, and hence uniform convergence of the solutions, will be discussed. The method overcomes drawbacks of the classical assumed modes and component mode synthesis methods. A new nonlinear model of a slack cable with bending stiffness and arbitrarily moving ends is developed. The new methodologies are applied to elevator and other systems. The model-based damage detection will address two major challenges in model-based damage detection: accurate modeling of structures and development of a robustness algorithm for identifying locations and extent of damage. Non-model-based methods using scanning laser vibrometry and digital image correlation will be presented. Finally, design, analysis, and control of a novel infinitely variable transmission will be discussed. Experimental results are presented to validate theoretical predictions.
Weidong Zhu is a Professor in the Department of Mechanical Engineering at the University of Maryland, Baltimore County, and the founder and director of its Dynamic Systems and Vibrations Laboratory and Laser Vibrometry Laboratory. He received his double major BS degree in Mechanical Engineering and Computational Science from Shanghai Jiao Tong University in 1986, and his MS and PhD degrees in Mechanical Engineering from Arizona State University and the University of California at Berkeley in 1988 and 1994, respectively. He is a recipient of the 2004 National Science Foundation CAREER Award and has been an ASME Fellow since 2010. He was an Associate Editor of the ASME Journal of Vibration and Acoustics from 2007-2014 and is a Subject Editor of the Journal of Sound and Vibration. His research spans the fields of dynamics, vibration, control, applied mechanics, structural health monitoring, wind energy, and metamaterial, and involves analytical development, numerical simulation, experimental validation, and industrial application. He has published over 170 archival journal papers in these areas, and has five US patents and five ASME best paper awards.