
Modeling of Complex Dynamic Systems
Fundamentals and Applications
Elsevier (Publisher)
Published on 30. May 2025
Book
Paperback/Softback
556 pages
978-0-443-23942-7 (ISBN)
Description
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.
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.
More details
Language
English
Place of publication
Philadelphia
United States
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 229 mm
Width: 152 mm
Weight
910 gr
ISBN-13
978-0-443-23942-7 (9780443239427)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Vladimir Stojanovic | Jian Deng | Marko D. Petkovic
Modeling of Complex Dynamic Systems
Fundamentals and Applications
E-Book
04/2025
Elsevier
€228.99
Available for download
Persons
Dr. Stojanovic currently holds an Associate Professor position at the Faculty of Mechanical Engineering, University of Nis, 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. Petkovic received a PhD in Computer Science in 2008 from the University of Nis, 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. Ristic received his MSc degree in Mechanical Design and Mechanization in 2009 from the University of Nis. Currently, he works as a Researcher at the Faculty of Mechanical Engineering, University of Nis, 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.
Author
Associate Professor, Faculty of Mechanical Engineering, University of Nis, Nis, Serbia; Visiting Professor, Dept. of Civil Engineering, Faculty of Engineering, Lakehead University, Thunder Bay, Ontario, Canada
Chair and Associate Professor, Dept. of Civil Engineering, Faculty of Engineering, Lakehead University, Thunder Bay, Ontario, Canada
Full Professor, Dept. of Computer Science, Faculty of Sciences and Mathematics, University of Nis, Nis, Serbia
Researcher and PhD Candidate, Faculty of Mechanical Engineering, University of Nis, Nis, Serbia
Content
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