Nonlinear Dynamics for Engineering Design

Speaker :
Prof. Marian Wiercigroch
Founding director of the Centre for Applied Dynamics Research, University of Aberdeen, UK
Date : 29 Aug 2018 (Wed)
Time : 2:30 pm
Venue : Room 2406, HKUST (2/F., Lift #17/18)


In this lecture I will paint a broad picture of the nonlinear world and examine implications of this view on science and engineering. Through carefully chosen examples from everyday life, science and engineering I will show just how nonlinear and dynamic our world really is. 

In the first part, I will define nonlinearity and nonlinear dynamics.  Specifically I will focus on a class called non-smooth dynamical systems. Then I will show how such problems can be effectively modelled and analysed by low dimensional dynamical systems [1,2]. The generic complexity of non-smooth dynamics will be demonstrated by an elastic impact oscillator – an archetypal model for the high frequency vibro-impact drilling [3,5].

The second part will be devoted to what we might call Nonlinear Dynamics for Engineering Design where I will present results from my recent projects, where nonlinear dynamic interactions have been used to enhance the performance of real systems and structures. I will put a special emphasis on one large project from oil and gas industry, where we have developed a revolutionary downhole drilling technology [5] and unique drilling laboratory [6]. I will argue that this would not be possible in a linear and static world!

  1. Ing, J., Pavlovskaia, E., Wiercigroch, M. and Banerjee, S. Bifurcation analysis of an impact oscillator with one sided elastic constraint near grazing, Physica D 239, 312-321, 2010
  2. Cao, Q. Wiercigroch, M., Pavlovskaia, E.E., Thompson, J.M.T. and Grebogi, C. Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics. Phil T  Roy Soc A 366, 635-652, 2008.
  3. Pavlovskaia, E.E., Wiercigroch, M. and Grebogi, C. Modelling of an impact system with a drift. Phys Rev E 64, 056224, 2001.
  4. Wiercigroch, M., Wojewoda, J. and Krivtsov, A.M. Dynamics of ultrasonic percussive drilling of hard rocks. J Sound Vib 280(3-5), 739-757, 2005.
  5. Wiercigroch, M. Resonance Enhanced Drilling: Method and Apparatus. Patent No WO2007141550, 2007.
  6. Kapitaniak, M., Vaziri, V., Paez, J., Nandakumar, K. and Wiercigroch, M. Unveiling complexities of drill-string vibrations: Experiments and modelling, Int J  Mech Sci 101-102, 324-337, 2015.  


Professor Marian Wiercigroch educated in Poland, US and UK holds a Sixth Century Chair and he is a founding director of the Centre for Applied Dynamics Research at the University of Aberdeen.

His area of research is theoretical and experimental nonlinear dynamics, which he applies to various engineering problems. Wiercigroch has published extensively (over 350 journal and conference papers) and sits on a dozen editorial boards of peer review journals. He is a joint Editor-In-Chief of International Journal of Mechanical Sciences and a frequent keynote and plenary speaker at major international conferences.

He is the inventor of new patented drilling technology called Resonance Enhanced Drilling and he has established in Aberdeen unique experimental laboratories allowing to investigate complex nonlinear dynamic interactions in mechanical systems.

He has received many awards and distinctions including a Senior Fulbright Scholarship in 1994. In 2009 for his contribution to engineering and mathematics he was elected a Fellow of the Royal Society of Edinburgh, the Scotland national academy and in 2013 he was awarded an honorary doctorate, DSc honoris causa, by the Lodz University of Technology and an in 2017 he was granted a title of an Honorary Professor at the Perm National Research Polytechnic University.