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数学学院、所2020年系列学术活动(第2场):吴柏生教授 广东工业大学机电工程学院

发表于: 2020-01-13   点击: 

报告题目:An adaptive algorithm for mid-frequency sweep problems

报 告 人:吴柏生教授(广东工业大学机电工程学院)

报告时间:2020年1月15日10:00--11:00

报告地点:高压合成楼 东侧206教室

报告摘要:

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.

报告人简介:

吴柏生,广东工业大学“百人计划”特聘教授。主要从事计算力学研究,在结构静动力重分析与优化、非线性振动、结构稳定性等方向的研究成果得到了国内外同行学者的广泛认可。目前,吴柏生教授已发表SCI收录论文近110篇,被SCI期刊他引1400余次。负责完成或在研国家自然科学基金课题5项。获得包括洪堡学者、教育部新世纪优秀人才支持计划、政府特殊津贴等学术奖励。现任中国力学学会理事。