Modeling of Complex Mechanical 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 Mechanical 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 - and reviews literatureCompares classical dynamic models with the authors’ proposed modeling methodologies to analyze mechanical systems affected by parametric instabilitiesDiscusses new technical solutions powered by AI and ML to introduce possible further research directions INDICE: Part I: Fundamental mathematical background of dynamics and vibrations: Overview of numerical methods and recent improvements1. Mathematical methods and procedures in the analysis of stability of vibrations of complex moving objects2. Mathematical methods and applications in the analysis of nonlinear vibrations3. Mathematical methods in stochastic stability of mechanical systemsPart II: Stability of vibrations of complex moving objects: Modeling and applications4. Stabilization and critical velocity of a moving mass5. Stability of vibration of a complex discrete oscillator moving at an overcritical speed6. Vibrational benefits of a new stabilizer in moving coupled vehicles7. Dynamics and stability of a complex rail vehicle system8. Modeling of a three-part viscoelastic foundation and its effect on dynamic stability9. Effect of an asymmetric primary stiffness suspension on the dynamic stability of complex moving oscillatorsPart III: Nonlinear vibrations: Stabilizing phenomena and applications10. Nonlinear amplitude analysis of shear deformable beams supported by an elastic foundation with variable discontinuity11. Nonlinear vibrational characteristics of damaged beams resting on a Pasternak foundation12. The purpose of an arch in the stability of nonlinear vibrations of coupled structures13. Quantitative effect of an axial load on the amplitude stability of rotating nano-beams14. Coupled multiple plate systems and their stability characteristicsPart IV: Stochastic stability of structures and mechanical systems: Methodology and examples15. Moment Lyapunov exponents and stochastic stability of vibrationally isolated laminated plates16. Higher-order stochastic averaging method in fractional stochastic dynamics17. Parametric stochastic stability of viscoelastic rotating shafts18. Stochastic stability of circular cylindrical shells19. Generalized transformations for MDOF stochastic systemsPart V: From traditional methods to Artificial Intelligence20. Modeling and applications of markers in machine learning and technical practice

• ISBN: 978-0-443-23942-7
• Editorial: Elsevier
• Encuadernacion: Rústica
• Páginas: 550
• Fecha Publicación: 01/02/2025
• Nº Volúmenes: 1
• Idioma: Inglés