AQFC2015

Fast Algorithms for Optimal Viscosities in Damped Mechanical Systems

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         Department of Systems Engineering and Engineering Management
 
                                 The Chinese University of Hong Kong
 
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Date: Monday, April 27, 2026, 4:30pm to 5:30pm HKT
 
Venue: ERB602, The Chinese University of Hong Kong
 
Title: Fast Algorithms for Optimal Viscosities in Damped Mechanical Systems
 
Speaker: Prof. Qingna Li, Beijing Institute of Technology
 
 
 
 
 
Abstract:
 
Optimal damping is to choose the best viscosities and the location of dampers in order to reach certain criteria of the vibrational system.  
It plays an important role in maintaining the safety of vibrational systems, such as buildings and aircrafts. For optimizing the viscosities given dampers’ location, it is a matrix optimization problem with second order differential equation constraint, which can be reformulated as a Lyapunov equation constraint. The challenge is how to propose efficient numerical algorithm to solve such kind of optimization problem, especially when the size of second order differential equation is large. In this talk, we will propose two
approaches-- BB residual minimization algorithm (BBRMA) and spectral projection gradient method (SPG) to solve the problem. We also demonstrate the efficiency of the proposed algorithms by numerical results, with comparison to the state-of-the-art algorithms. This is the joint work with Françoise Tisseur from the University of Manchester.
 
 
 
Biography:
 
Dr. Qing-Na Li is a full professor in School of Mathematics and Statistics, Beijing Institute of Technology. She received her Bachelar’s degree (2005) and PhD degree (2010) from Hunan University, China. After two-year’s PostDoc in Chinese Acedemy of Mathematics and System Sciences, she joined Beijing Institute of Technology. Her research interests include continuous optimization, specifically in matrix optimization, sparse optimization and the applications in various areas including wireless communication, statistics, artificial intelligence, with publication in SIAM Journal on Optimization, IMA Journal on Numerical Analysis and so on.
 
 
 
Everyone is welcome to attend the talk!
 
SEEM-5202 Website: http://seminar.se.cuhk.edu.hk
 
Date: 
Monday, April 27, 2026 - 14:30