| Biography | |
|---|---|
 Prof. Liming Dai University of Regina, Canada |
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| Title: Semi-analytical and Numerical Solutions for Nonlinear Dynamic Systems with a P-T Approach | |
| Abstract: The research to be presented is on the development of a semi-analytical and numerical approach namely the P-T method for the solutions of linear and nonlinear vibratory or oscillatory systems expressed by linear and nonlinear differential equations, which are commonly seeing in physics and engineering fields. The original physical information included in the governing equations of motion for the systems is mostly transferred into the solutions developed. Therefore, the solutions generated by the present approach reflect more accurately the characteristics of the responses of the systems. The solutions such derived are continuous and the numerical solutions developed show good accuracy, reliability and convergence in comparing with other numerical methods such as Runge–Kutta method, one of the most popular numerical methods for solving nonlinear dynamic problems. A comparison is to be presented for the exact solution and the one developed by the present approach in considering a linear problem, such that the characteristics of the solutions of the P-T method can be quantitatively and precisely described and compared. The numerical solutions generated by the P-T method are compared with that created by Runge-Kutta method for a nonlinear system known as Duffing’s system to show the advances of the P-T method in relating to its accuracy and reliability. The advantages of the approach over the conventional numerical approaches for semi-analytically and numerically solving nonlinear dynamic problems are emphasized. | |
| Biography: Dr. Liming Dai, P.Eng., ASME Fellow, a tenured professor of Industrial Systems Engineering at the University of Regina, Canada. Dr. Dai has published more than 300 peer reviewed papers and 9 books (Mainly published by Springer). In the past 20 years, he has been continuously receiving Discovery Grants from NSERC (Natural Science and Engineering Research Council of Canada) for every year and he is also the receiver of DAS grant in Canada. Professor Dai’s research achievements are well-recognized in academic and industrial fields in Canada and in the world. The main research direction and personal expertise of Dr. Dai include nonlinear dynamics, nonlinear and complex systems, nonlinear behavior characterization,multiphase liquid mobilization and flow in porous media subjected toseismic wave and vibration stimulations, acoustic properties of a novel porous material and its application in industrial noise control, nonlinear system analysis and diagnosis method (P - R method inventor), high precision numerical analysis and simulation of nonlinear systems (P - T method inventor), multidimensional structure of active and passive nonlinear vibration analysis and control, vortex of engineering structures and von Karman vortex street, fluid-structure interaction analysis and simulation, modern mechanical design, and design and manufacture of pressure vessels. Professor Liming Dai is a leading international expert in industrial vibration and control, micro-electro-mechanical systems and nonlinear dynamical systems.In the past two decades, Dr. Dai has organized international conferences as conference chair, symposium chair and organizer for more than 40 ASME and other international conferences. Dr. Dai has served as a member for the editorial boards of a number of internationally renowned scientific and technical journals.Professor Dai is currently working for the University of Regina, a well-recognized university in Canada by its academic and research achievements. He has experience of serving as the Program Chair of Industrial Systems Engineering for ten years. Dr. Liming Dai has experiences of teaching at 4 Canadian universities and colleges and worked as Chief Engineer and Plant Manager at a company in Calgary, Canada. He has been invited to teach and present his research at more than 30 institutes over 12 countries in the world. | |
