Modeling of Complex Dynamic Systems
Fundamentals and Applications
- 1st Edition - May 30, 2025
- Latest edition
- Authors: Vladimir Stojanović, Jian Deng, Marko D. Petković, Marko A. Ristić
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 2 3 9 4 2 - 7
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 2 3 9 4 3 - 4
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 threshol… Read more
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
Researchers, academics, and post-graduate students in mechanical engineering, applied mechanics, computational mechanics, aerospace engineering, railway engineering. Professional engineers looking into optimized design and operation approaches, as well as vibration/oscillation mitigation or control strategies for aircraft and spacecraft, high-speed trains, wind farms, cosmological stations, hydropower plants, etc.
Part I: Fundamental mathematical background of dynamics and vibrations: Overview of numerical methods and recent improvements
1. Mathematical methods and procedures in the analysis of stability of vibrations of complex moving objects
2. Mathematical methods and applications in the analysis of nonlinear vibrations
3. Mathematical methods in stochastic stability of mechanical systems
Part II: Stability of vibrations of complex moving objects: Modeling and applications
4. Stabilization and critical velocity of a moving mass
5. Stability of vibration of a complex discrete oscillator moving at an overcritical speed
6. Vibrational benefits of a new stabilizer in moving coupled vehicles
7. Dynamics and stability of a complex rail vehicle system
8. Modeling of a three-part viscoelastic foundation and its effect on dynamic stability
9. Vibrational instability in a complex moving object: Innovative approaches to elastically damped connections between car body components and supports
Part III: Nonlinear vibrations: Stabilizing phenomena and applications
10. Nonlinear amplitude analysis of shear deformable beams supported by an elastic foundation with variable discontinuity
11. Nonlinear vibrational characteristics of damaged beams resting on a Pasternak foundation
12. The purpose of an arch in the stability of nonlinear vibrations of coupled structures
13. Quantitative effect of an axial load on the amplitude stability of rotating nano-beams
14. Coupled multiple plate systems and their stability characteristics
Part IV: Stochastic stability of structures and mechanical systems: Methodology and examples
15. Moment Lyapunov exponents and stochastic stability of vibrationally isolated laminated plates
16. Higher-order stochastic averaging method in fractional stochastic dynamics
17. Parametric stochastic stability of viscoelastic rotating shafts
18. Stochastic stability of circular cylindrical shells
19. Generalized transformations for MDOF stochastic systems
Part V: From traditional methods to Artificial Intelligence
20. Modeling and applications of markers in machine learning and technical practice
1. Mathematical methods and procedures in the analysis of stability of vibrations of complex moving objects
2. Mathematical methods and applications in the analysis of nonlinear vibrations
3. Mathematical methods in stochastic stability of mechanical systems
Part II: Stability of vibrations of complex moving objects: Modeling and applications
4. Stabilization and critical velocity of a moving mass
5. Stability of vibration of a complex discrete oscillator moving at an overcritical speed
6. Vibrational benefits of a new stabilizer in moving coupled vehicles
7. Dynamics and stability of a complex rail vehicle system
8. Modeling of a three-part viscoelastic foundation and its effect on dynamic stability
9. Vibrational instability in a complex moving object: Innovative approaches to elastically damped connections between car body components and supports
Part III: Nonlinear vibrations: Stabilizing phenomena and applications
10. Nonlinear amplitude analysis of shear deformable beams supported by an elastic foundation with variable discontinuity
11. Nonlinear vibrational characteristics of damaged beams resting on a Pasternak foundation
12. The purpose of an arch in the stability of nonlinear vibrations of coupled structures
13. Quantitative effect of an axial load on the amplitude stability of rotating nano-beams
14. Coupled multiple plate systems and their stability characteristics
Part IV: Stochastic stability of structures and mechanical systems: Methodology and examples
15. Moment Lyapunov exponents and stochastic stability of vibrationally isolated laminated plates
16. Higher-order stochastic averaging method in fractional stochastic dynamics
17. Parametric stochastic stability of viscoelastic rotating shafts
18. Stochastic stability of circular cylindrical shells
19. Generalized transformations for MDOF stochastic systems
Part V: From traditional methods to Artificial Intelligence
20. Modeling and applications of markers in machine learning and technical practice
- Edition: 1
- Latest edition
- Published: May 30, 2025
- Language: English
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Vladimir Stojanović
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.
Affiliations and expertise
Associate Professor, Faculty of Mechanical Engineering, University of Niš, Niš, Serbia; Visiting Professor, Dept. of Civil Engineering, Faculty of Engineering, Lakehead University, Thunder Bay, Ontario, CanadaJD
Jian Deng
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.
Affiliations and expertise
Chair and Associate Professor, Dept. of Civil Engineering, Faculty of Engineering, Lakehead University, Thunder Bay, Ontario, CanadaMP
Marko D. Petković
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.
Affiliations and expertise
Full Professor, Dept. of Computer Science, Faculty of Sciences and Mathematics, University of Niš, Niš, SerbiaMR
Marko A. Ristić
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.
Affiliations and expertise
Researcher and PhD Candidate, Faculty of Mechanical Engineering, University of Niš, Niš, SerbiaRead Modeling of Complex Dynamic Systems on ScienceDirect