Stochastic Nonsmooth Analysis For Energy Harvesting
An international research project aimed to explore the dynamics and capabilities of vibro-impact energy harvesting devices to develop efficient design tools and methodologies to harvest vibrational energy.
Summary
This multidisciplinary project is an international collaboration between Georgia Tech, Georgia State University and University of Southampton in the area of applied mathematics, nonlinear dynamics and energy harvesting with soft electroactive polymers. The project will address gaps and opportunities in mathematical developments and in practical applications for impact-based engineering devices and systems with non-smooth dynamics, critical for understanding the harvesting of vibrational energy. The main research objective is to develop a universal suite of mathematical methodologies for the analysis and optimized performance of deterministic and stochastic non-smooth engineering systems. These approaches are pursued with a focus on practical engineering models of vibro-impacting energy harvesting systems and nonlinear dynamic dampers, within the broad area of targeted energy transfer. Integrating novel nonlinear, stochastic, and computational approaches with experimental and real-world data both for energy harvesting and for devices that mitigate vibration will pave new pathways for analysis-based design and model validation.
People
Principal Investigators
Rachel Kuske
Professor
Head of School of Mathematics
Georgia Institute of Technology
Atlanta, US
Igor Belykh
Professor
Department of Mathematics and Statistics
Georgia State University
Atlanta, US
Daniil Yurchenko
Associate Professor
Institute of Sound and Vibration Research
University of Southampton
Southampton, UK
Researchers
Christina Athanasouli
Hale Visiting Assistant Professor
School of Mathematics
Georgia Institute of Technology, Atlanta
Rahul Kumar
Visiting Assistant Professor
School of Mathematics
Georgia Institute of Technology, Atlanta
Lanjing Bao
PhD Student
Department of Mathematics and Statistics
Georgia State University, Atlanta
Henrik T Sykora
Postdoctoral Research Fellow
Institute of Sound and Vibration Research
University of Southampton, Southampton
Collaborators
Larissa Serdukova
Lecturer / Assistant Professor
School of Computing and Mathematical Sciences
University of Leicester, Leicester
Dimitri Costa
Research Fellow
School of Engineering
University of Aberdeen, Aberdeen
Participating undergratuate Students at GeorgiaTech
Publications
Journal papers
Stochastic dynamics of mechanical systems with impacts via the Step Matrix multiplication based Path Integration method (link)
Henrik T Sykora, Rachel Kuske, Daniil Yurchenko
1 March 2024
Exploring effective TET through a vibro-impact nonlinear energy sink over broad parameter regimes (link)
Rahul Kumar, Rachel Kuske, Daniil Yurchenko
3 Feb 2024
Maps unlock the full dynamics of targeted energy transfer via a vibro-impact nonlinear energy sink (link)
Ruofeng Liu, Rachel Kuske, Daniil Yurchenko
15 May 2023
Numerical optimisation of a classical stochastic system for targeted energy transfer (link)
Oleg Gaidai, Yubin Gu, Yihan Xing, Junlei Wang, Daniil Yurchenko
28 December 2022
Fundamental competition of smooth and non-smooth bifurcations and their ghosts in vibro-impact pairs (link)
Larissa Serdukova, Rachel Kuske, Daniil Yurchenko
15 December 2022
Qualitative changes in bifurcation structure for soft vs hard impact models of a vibro-impact energy harvester (link)
Dimitri Costa, Rachel Kuske, Daniil Yurchenko
27 October 2022
Systematic matrix formulation for efficient computational path integration (link)
Henrik T Sykora, Rachel Kuske, Daniil Yurchenko
7 September 2022
Improving the performance of a two-sided vibro-impact energy harvester with asymmetric restitution coefficients (link)
Sam Dulin, Kailee Lin, Larissa Serdukova, Rachel Kuske, Daniil Yurchenko
1 March 2022
Post-grazing dynamics of a vibro-impacting energy generator (link)
Larissa Serdukova, Rachel Kuske, Daniil Yurchenko
3 February 2021
Stability and bifurcation analysis of the period-T motion of a vibroimpact energy harvester (link)
Larissa Serdukova, Rachel Kuske, Daniil Yurchenko
26 October 2019
Conference Talks
Keynote: Computer-assisted analysis for the global dynamics of a vibro-impact pair via reduced smooth maps
Rachel Kuske
Euromech Colloquium 641: Non-smooth Dynamical Systems, 11 - 13 December, 2024 (Dublin, Ireland)
Keynote: Complex behaviour of a 2D vibroimpact energy harvesting system
Daniil Yurchenko
Euromech Colloquium 641: Non-smooth Dynamical Systems, 11 - 13 December, 2024 (Dublin, Ireland)
Influence of Noisy Excitation on Dynamics and Energy Transfer Through VINES
Rahul Kumar, Daniil Yurchenko, Rachel Kuske
Euromech Colloquium 641: Non-smooth Dynamical Systems, 11 - 13 December, 2024 (Dublin, Ireland)
Influence of stiffness variations in the chaos control of a vibro-impact energy harvester
Dimitri Costa, Daniil Yurchenko, Rachel Kuske, Ekaterina Pavlovskaia
Euromech Colloquium 641: Non-smooth Dynamical Systems, 11 - 13 December, 2024 (Dublin, Ireland)
Desirable energy generation in a VI-EH with dry friction
Christina Athanasouli, Daniil Yurchenko, Rachel Kuske
Euromech Colloquium 641: Non-smooth Dynamical Systems, 11 - 13 December, 2024 (Dublin, Ireland)
Analysis of two types of non-smooth dynamics in an energy harvester
Christina Athanasouli, Daniil Yurchenko, Rachel Kuske
AWS Research Symposium, 30 September - 02 October, 2023 (Atlanta, USA)
Computer-assisted analysis of the global dynamics of a vibro-impact pair
Lanjing Bao, Daniil Yurchenko, Rachel Kuske, Igor Belykh
AWS Research Symposium, 30 September - 02 October, 2023 (Atlanta, USA)
Efficient path integral formulation for the response statistics of stochastic vibro-impact systems (abstract)
Henrik T Sykora, Rachel Kuske, Daniil Yurchenko
Third International Nonlinear Dynamics Conference (NODYCON 2023), 18-22 June, 2023 (Rome, Italy)
Performance Enhancement of Vibro-Impact Targeted Energy Transfer Within a Random Environment
Rahul Kumar, Daniil Yurchenko, Rachel Kuske
ASCE Engineering Mechanics Institute Conference 2023 (ASCE EMI 2023), 6-9 June, 2023 (Atlanta, USA)
Response statistics of vibro-impact system via the Step Matrix Multiplication based on Path Integration method
Henrik T Sykora, Rachel Kuske, Daniil Yurchenko
ASCE Engineering Mechanics Institute Conference 2023 (ASCE EMI 2023), 14-18 May, 2023 (Portland, USA)
Parametric Study of Targeted Energy Transfer Through Vibro-Impact System Using Map Based Approach (abstract)
Rahul Kumar, Daniil Yurchenko, Rachel Kuske
SIAM Conference on Applications of Dynamical Systems (SIAM DS23), 14-18 May, 2023 (Portland, USA)
Reduction to Smooth Maps for the Global Dynamics of a Vibro-Impact Pair Model (abstract)
Lanjing Bao, Rachel Kuske, Daniil Yurchenko, Igor Belykh
SIAM Conference on Applications of Dynamical Systems (SIAM DS23), 14-18 May, 2023 (Portland, USA)
Bifurcations of Periodic Solutions in a Vibro-Impact System with Dry Friction (abstract)
Christina Athanasouli, Daniil Yurchenko, Rachel Kuske
SIAM Conference on Applications of Dynamical Systems (SIAM DS23), 14-18 May, 2023 (Portland, USA)
Efficient Path Integration for the Computation of Response Probability Density Functions of Oscillators with Impacts (abstract)
Henrik T Sykora, Rachel Kuske, Daniil Yurchenko
SIAM Conference on Applications of Dynamical Systems (SIAM DS23), 14-18 May, 2023 (Portland, USA)
Nonlinear and stochastic dynamics in a forced vibro-impact energy harvester (book of abstracts)
Rachel Kuske, Daniil Yurchenko, Larissa Serdukova
10th European Nonlinear Dynamics Conference (ENOC 2020+2), 17-22 July, 2022 (Lyon, France)
Dynamical analysis of TET in a non-smooth vibro-impact system (book of abstracts)
Ruofeng Liu, Dimitri Costa, Daniil Yurchenko, Rachel Kuske
10th European Nonlinear Dynamics Conference (ENOC 2020+2), 17-22 July, 2022 (Lyon, France)
An efficient method to obtain the response PDF of nonlinear stochastic dynamical systems (book of abstracts)
Henrik T Sykora, Rachel Kuske, Daniil Yurchenko
10th European Nonlinear Dynamics Conference (ENOC 2020+2), 17-22 July, 2022 (Lyon, France)
Dynamic non-smooth fold bifurcations influenced by oscillations and noise (book of abstracts)
Rachel Kuske, Chris Budd, Cody Griffith
10th European Nonlinear Dynamics Conference (ENOC 2020+2), 17-22 July, 2022 (Lyon, France)
Stability of rotatory solitary states in Kuramoto networks with inertia (Workshop program)
Igor Belykh (invited speaker)
Chimera states: From Theory and Experiments to Technology, 16-20 May, 2022 (Dresden, Germany)
Comparisons of hard and soft impact on a vibro-impact energy harvester: a semi-analytical approach
Dimitri Danulussi Alves Costa, Daniil Yurchenko, Rachel Kuske
The 10th international Conference on Wave Mechanics and Vibrations (WMVC 2022), 4-6 July, 2022 (Lisbon, Portugal)
Probability density functions of stochastic vibro-impact systems via the path-integration method
Henrik T Sykora, Rachel Kuske, Daniil Yurchenko
The 10th international Conference on Wave Mechanics and Vibrations (WMVC 2022), July 4-6, 2022 (Lisbon, Portugal)
Dynamic non-smooth bifurcations influenced by noise and oscillations (talk)
Rachel Kuske (invited speaker)
ICMC Summer Meeting on Differential Equations, 31 January - 2 February, 2022 (virtual)
Multiple Routes to Grazing in Vibro-Impact Energy Harvesters (abstract)
Larissa Serdukova, Rachel Kuske, Daniil Yurchenko
SIAM Conference on Applications of Dynamical Systems (SIAM DS21), May 23-27, 2021 (virtual)
Stability and bifurcation analysis of the period-T motion of a vibro-impacting energy generator (abstract)
Larissa Serdukova, Rachel Kuske, Daniil Yurchenko
SIAM Conference on Applications of Dynamical Systems (SIAM DS19), May 19-23, 2019 (Snowbird, UT, USA)
Tematic sessions / Special issues
Session at the AWM Research Symposium (30.09-02.10 2023):
Women in Dynamical Systems and Applications
Organisers: Christina Athanasouli, Rachel Kuske
Two part minisymposium at SIAM DS23:
Non-Smooth Dynamical Systems With Impacts: Analysis and Applications
Organisers: Rahul Kumar, Christina Athanasouli, Henrik T Sykora, Darlington David
Two part minisymposium at SIAM DS21:
Non-Smooth Dynamics: Discontinuity-Induced Bifurcations, Stability and Control
Organisers: Rachel Kuske, Igor Belykh
Focus issue and review paper in Chaos (2023):
Beyond the Bristol book: Advances and perspectives in non-smooth dynamics and applications (focus issue, review paper)
Igor Belykh, Rachel Kuske, Maurizio Porfiri, David J. W. Simpson
Other publications
Dynamic tipping in the non-smooth Stommel-box model, with fast oscillatory forcing (link)
Chris Budd, Cody Griffith, Rachel Kuske
April 2022
Find us
University of Southampton
Southampton, SO17 1BJ, UK
Georgia Institute of Technology
Atlanta, GA 30332, USA
Georgia State University
Atlanta, GA 30302-3965, USA
Funding
NSF: CMMI/DMS 2009270 (USA)
EPSRC: EP/V034391/1 (UK)