Modeling of Complex Dynamic Systems: Fundamentals and Applications

Motion is the essence of any mechanical system. Analyzing a system’s dynamical response to distinct motion parameters allows for increased understanding of its performance thresholds and can in turn provide clear data to inform improved system designs.
Modeling of Complex Dynamic Systems: Fundamentals and Applications equips readers with significant insights into nonlinear vibration phenomenology through a combination of advanced mathematical fundamentals and worked-through modeling experiments. To guide them in determining novel stabilization characteristics for complex moving objects, coupled structures, as well as the stochastic stability of mechanical systems, the technical and methodological analysis is accompanied by industry-relevant practical examples, contributing much sought-after applicable knowledge.
The book is intended for use by postgraduate students, academic researchers, and professional engineers alike.

• Connects three areas of theoretical and applied mechanics – nonlinear vibrations, dynamics of moving objects, and stochastic stability of structures, while also reviewing literature
• Compares classical dynamic models with the authors’ proposed modeling methodologies to analyze mechanical systems affected by parametric instabilities
• Discusses new technical solutions powered by AI and ML to introduce possible further research directions

Dr. Stojanović currently holds an Associate Professor position at the Faculty of Mechanical Engineering, University of Niš, Serbia, and a Visiting Professor position at Lakehead University, Ontario, Canada. Since 2011, he has published numerous papers in prestigious scientific journals, where he also serves as a reviewer. As an internationally recognized scientist, he has been invited to lecture at universities worldwide and has participated in the most significant conferences in the field of theoretical and applied mechanics. His research interests primarily focus on the modeling of complex linear and nonlinear continuous and discrete dynamical systems, analytical and numerical methods for solving MDOF-based models, and the application of dynamic and stochastic stability principles to engineering problems in vibration.

Dr. Deng is currently Chair and Associate Professor in the Department of Civil Engineering at Lakehead University, Canada. He is a licensed professional engineer in Ontario and has over 20 years of research, education, and industry experience. Dr. Deng’s research group is developing theories and techniques to better understand dynamic instability, geohazards, and the reliability of structures in civil and mining engineering, especially in geotechnical engineering. His excellence in research has been recognized through several awards, including the Best Paper Award, the Research Excellence Award, and the Best Presentation Award. These accolades underscore the impact of Dr. Deng’s guidance and contributions to both research excellence and student development.

Dr. Petković received a PhD in Computer Science in 2008 from the University of Niš, Serbia. He is a prolific author, the editor-in-chief of the Facta Universitatis, Series: Mathematics and Informatics, and section editor for three other recognized journals. He is the author of more than 15 software solutions, both commercial and non-commercial scientific software. His research interests include numerical linear algebra, neural networks, source and channel coding, and optimization methods.

Marko A. Ristić received his MSc degree in Mechanical Design and Mechanization in 2009 from the University of Niš. Currently, he works as a Researcher at the Faculty of Mechanical Engineering, University of Niš, to complete his doctoral thesis. His research interests include machine component design, finite element analysis, computational fluid dynamics, gear design, planetary gear trains, and high-conformal gearing.