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. Sections guide readers in determining novel stabilization characteristics for complex moving objects, coupled structures, the stochastic stability of mechanical systems, technical and methodological analysis, and 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. 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.

• 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