報告題目：An adaptive algorithm for mid-frequency sweep problems
報 告 人：吳柏生教授（廣東工業大學機電工程學院）
報告時間：2020年1月15日10:00--11:00
報告地點：高壓合成樓 東側206教室
報告摘要：
Frequency response problems arise in many structural dynamic applications. The computational cost of frequency response analyses within a frequency band of interest may be high for large-scale problems because each structural response evaluation requires the solution of a system of equations. A new method for calculating frequency responses in a frequency band of a structure with proportional damping is proposed. The Sturm sequence numbers are first applied to adaptively determine the number of middle modes to be calculated. The unknown low- and high-mode contributions are approximated by the partial sum of the constructed convergent series. The number of the terms in the sum is adaptively determined by using the newly proposed iterative algorithm at left or light ends of the frequency band only. The resulting analytical expression of frequency responses is valid for the entire frequency band. Finally, two numerical examples are given to illustrate the accuracy and effectiveness of the proposed method. The results show that compared with the full method for frequency response analysis, the present method can significantly reduce the CPU time.
報告人簡介：
吳柏生，廣東工業大學“百人計劃”特聘教授。主要從事計算力學研究，在結構靜動力重分析與優化、非線性振動、結構穩定性等方向的研究成果得到了國内外同行學者的廣泛認可。目前，吳柏生教授已發表SCI收錄論文近110篇，被SCI期刊他引1400餘次。負責完成或在研國家自然科學基金課題5項。獲得包括洪堡學者、教育部新世紀優秀人才支持計劃、政府特殊津貼等學術獎勵。現任中國力學學會理事。
