阻尼系統諧響應分析的快速計算方法

報告題目：阻尼系統諧響應分析的快速計算方法

報 告 人：吳柏生 教授 廣東工業大學機電工程學院

報告時間：2019年7月29日10:00--11:00

報告地點：高壓合成樓東側206教室

報告摘要：

In this talk a numerical method for calculating the frequency response of an damped system in afrequency interval is presented. The Sturm sequence number is first used toadaptively determine the number of the lowest modes that need to be calculated.The corresponding modes can be computed by the Lanczos or subspace iteration methods. The complementary portion of contribution of these computed modes is thentransformed into the solution to a new system by using the mass orthogonality.The solution of the new system is approximated by the partial sum of theconvergent power series of the excitation frequencies, and the number of items therein can be adaptively determined by utilizing only the highest excitation frequency. The resulting expressions ofthe frequency response is valid for the entire range of excitation frequencies of interest. By changing only the excitation frequency, we can obtain frequency responses.

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內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。