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数学学院、所2019年系列学术活动(第133场):吴柏生教授 广东工业大学机电工程学院

发表于: 2019-07-28 10:17  点击:

报告题目:阻尼系统谐响应分析的快速计算方法

报 告 人:吴柏生教授 广东工业大学机电工程学院

报告时间:201972910:00--11:00

报告地点:高压合成楼 东侧206教室

报告摘要:

In this talk a numerical method for calculating the frequency response of an damped system in a frequency interval is presented. The Sturm sequence number is first used to adaptively 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 then transformed 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 the convergent 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 of the frequency response is valid for the entire range of excitation frequencies of interest. By changing only the excitation frequency, we can obtain frequency responses.

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。