报告题目:New Eigenvalue Criteria for Structural Optimization For Harmonic Loading
主 讲 人：Prof. Boping Wang
报告地点：机电楼431会议室
报告时间：2019年12月27日 9：00-11：00
报告摘要：
In structural dynamics, it is well known that resonance frequencies in forced harmonic response of an undamped structure are related to the eigenvalue for free vibration problem. These resonance frequencies are the peaks in the frequency response plots. In a recent paper, it is shown that the frequencies for the valleys (lowest points in vibration amplitude) in the frequency response plot can also be computed by solving eigenvalue problems associated with the forced harmonic response of the system. When the minimum response is zero, the corresponding frequencies are the well-known antiresonsnt frequencies. Otherwise, these are minimum response frequency between two resonances. Using the eigenvalue formulation, the sensitivities of the antiresonant or minimum response frequency can be readily computed using eigenvalue sensitivity results for general non-symmetrical matrices. In this paper, these new eigenvalues will be used in the objective or constraints in structural optimization under harmonic loading. This is achieved by tailoring the structure so that minimum response or antiresonsnt frequency occurs at the specified forcing frequency. Detailed formulations will be presented in the paper. Several beam problem will be use to illustrate the general formulations.
报告人简介：
Prof. Boping Wang, Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, USA
Prof. Wang' reserch is focused on Design optimization, Finite element methods, Computational mechanics, Vibration, Structural dynamics, and Image reconstruction for NIR measurements. He served as Reviewer of Acta Mechanic, AIAA Journal, Applied Mechanics Review, Applied Stochastic Models in Business and Industry, ASME Journal of Vibration and Acoustics, ASME Journal of Heat Transfer Engineering with Computers, ASME Journal of Engineering Materials and Engineering, Computer and Structures, IEEE Journal of Evolutionary computing, International Journal of Analytical and Experimental Modal Analysis, International Journal of Numerical Method for Engineering, Journal of Acoustic Society of America, etc.
