Topic: A Spectro-Geometric Method for Modeling Dynamic Systems

Time: Jan. 14th, 15:00-17:00

Address: F307

Speaker: Prof. Wenlong Li (Associate Professor of Mechanical Engineering at Wayne State University, USA)

Inviter: Prof. Zheng Hui

Abstract:    

A so-called Spectro-Geometric Method (SGM) is presented for the vibration analysis of built-up structures. In this method, a structure is divided into a number of substructures naturally based on its physical, geometrical, and kinematic discontinuities. The term “spectro-geometric” has two important implications. Firstly, the geometry of a substructure is accurately described in terms of mathematical or design parameters, rather than a computational grid or mesh. Secondly, an unknown solution variable on each substructure is expressed, in spectral form, as a trigonometric series expansion with an accelerated polynomial rate of convergence. Among other advantages, the solution accuracy and spatial resolution can now be refined effortlessly by simply including more terms in the series expansion, and any secondary variables of interest readily obtained from appropriate mathematical operations. The meshless and parametric modeling makes it better suitable for sensitivity studies, design optimization, and, in particular, for dealing with model uncertainties, engineering and manufacturing errors, or stochastic processes. The accuracy and reliability of the SGM prediction are demonstrated through numerical examples. 

Introduction of Speaker:  

Dr. Wenlong Li received his B.S. from Liaoning Normal University (China) in 1982; M. Eng. from Beijing Institute of Technology (China) in 1984, and Ph.D. from University of Kentucky in 1991. He worked as: Research Engineer with North Vehicle Research Institute, Beijing, China (84-88); Technical Specialist with the Engineering Center of Case Corporation (91-95); Senior Staff Engineer with the Corporate Technologies of Carrier Corporation (95-01); Principal Engineer with United Technologies Research Center (02-04); Associate Professor of Mechanical Engineering at Mississippi State University (04-07); Associate Professor of Mechanical Engineering at Wayne State University (07-present); Dr. Li holds 9 U.S. Patents and published approximately 100 technical papers.