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(第821期) A Semi-Analytical Approach in Solving for Nonlinear Vibration Systems

创建日期 2015/11/24 穗一   浏览次数  418   返回    
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                                                 力学所SEMINAR 821

题    目:  A Semi-Analytical Approach in Solving for Nonlinear Vibration Systems

报告人:  Prof.   Liming  Dai   (University of Regina, Canada)
                     
时    间:  12月3日(周四)下午1:30

地    点:  应用数学和力学所东会议室

Abstract:This research is on the development of a novel semi-analytical and numerical approach namely the P-T method for the solutions of linear and non-linear vibration systems, which are commonly seen in engineering dynamics. The original physical information included in the governing equations of motion is mostly transferred into the solutions developed. Therefore, the semi-analytical and numerical solutions generated by the present approach reflect more accurately the characteristics of the responses of the systems. The numerical solutions such derived are continuous with good accuracy and convergence in comparing with Runge–Kutta method, one of the most popular numerical methods in nonlinear dynamics. Comparison is presented for the exact solution and the one developed by the present approach in considering a linear oscillatory problem. A nonlinear oscillatory problem is also investigated and compared with that of the Runge–Kutta method. The characteristics of the P-T method and its applications in multidimensional systems and engineering practices are also introduced.


个人简介:Dr.Liming Dai教授是加拿大里贾纳大学终身教授,工程与应用科学学院工业系统工程系主任;美国机械工程师协会(ASME) Fellow。他的主要研究领域包括非线性动力学与复杂性,非线性性质判定,多孔介质中的波动,线性与非线性振动控制,声学工程及工业噪声控制,汽车动力学,振动与地震波激励EOR。已发表二百余篇科技论文;七部学术专著。他是加拿大自然科学基金(NSERC)连续20年的获得者,同时是加拿大DAS和其他基金的获得者。Dr.Liming Dai教授是两届国际会议的大会主席,二十余届ASME及其他国际会议分会主席。现任数个国际学术委员会的委员。过去数年曾应邀于12国30余学术单位讲学或学术报告。 在过去二十余年中他曾在加拿大不同的大学从事自然科学及工业系统工程的教育,讲授超过20门不同的本科和研究生课程。目前Dr.Liming Dai教授的团队包括博士后,博士,硕士等十余人从事多个领域的研究。


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