This book includes the outcomes of the 59th Symposium “Modelowanie w Mechanice” (Engineering Modelling in Mechanics) held in Ustroń from 22 February to 26 February 2020. The International Conference has an over 58-year-old history and is organized by the Department of Theoretical and Applied Mechanics of Silesian University of Technology under the patronage of the Polish Society of Theoretical and Applied Mechanics, Gliwice Branch. Subjects of the conference are modelling of mechatronic systems, machinery dynamics, control systems, sensitivity analysis and optimization, numerical modelling and experimental methods in mechanics, biomechanics, heat flow analysis, fluid mechanics, etc. The papers are dealing with interdisciplinary problems in which mechanical phenomena are of decisive importance. The potential reader of this book will find their set of papers concentrated on the use of computer-aided design, virtual modelling, numerical simulations, fast prototyping and experimental tests of mechanical systems. It is an area of versatile and interdisciplinary research trends with one of the mainstreams focusing on applied mechanics.

This book includes the outcomes of the 59th Symposium "Modelowanie w Mechanice" (Engineering Modelling in Mechanics) held in Ustroń from 22 February to 26 February 2020. The International Conference has an over 58-year-old history and is organized by the Department of Theoretical and Applied Mechanics of Silesian University of Technology under the patronage of the Polish Society of Theoretical and Applied Mechanics, Gliwice Branch. Subjects of the conference are modelling of mechatronic systems, machinery dynamics, control systems, sensitivity analysis and optimization, numerical modelling and experimental methods in mechanics, biomechanics, heat flow analysis, fluid mechanics, etc. The papers are dealing with interdisciplinary problems in which mechanical phenomena are of decisive importance. The potential reader of this book will find their set of papers concentrated on the use of computer-aided design, virtual modelling, numerical simulations, fast prototyping and experimental tests of mechanical systems. It is an area of versatile and interdisciplinary research trends with one of the mainstreams focusing on applied mechanics.

This textbook demonstrates the power of mathematics in solving practical, scientific, and technical problems through mathematical modelling techniques. It has been designed specifically for final year undergraduate and graduate students, and springs from the author's extensive teachingexperience. The text is combined with twenty-one carefully ordered problems taken from real situations, and students are encouraged to develop the skill of constructing their own models of new situations.

This book presents best selected research papers presented at the Thirteenth International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI 2020), held from September 6 to September 13, 2020, at the Alushta Health and Educational Center (The Republic of Crimea). The book is dedicated to solving actual problems of applied mechanics using modern computer technology including smart paradigms. Physical and mathematical models, numerical methods, computational algorithms, and software complexes are discussed, which allow to carry out high-precision mathematical modeling in fluid, gas, and plasma mechanics, in general mechanics, deformable solid mechanics, in strength, destruction and safety of structures, etc. Technologies and software systems that provide effective solutions to the problems at various multi-scale levels are considered. Special attention is paid to the training of highly qualified specialists for the aviation and space industry. The book is recommended for specialists in the field of applied mathematics and mechanics, mathematical modeling, information technologies, and developers of modern applied software systems.

The papers in this volume present rules for mechanical models in a general systematic way, always in combination with small and large examples, many from industry, illustrating the most important features of modeling. The best way to reach a good solution is discussed. The papers address researchers and engineers from academia and from industry, doctoral students and postdocs, working in the fields of mechanical, civil and electrical engineering as well as in fields like applied physics or applied mathematics.

The book presents the proceedings of the XXV National Congress of the Italian Association of Theoretical and Applied Mechanics (Palermo, September 2022). The topics cover theoretical, computational, experimental and technical-applicative aspects. Chapters: Fluid Mechanics, Solid Mechanics, Structural Mechanics, Mechanics of Machine, Computational Mechanics, Biomechanics, Masonry Modelling and Analysis, Dynamical Systems in Civil and Mechanical Structures, Control and Experimental Dynamics, Mechanical Modelling of Metamaterials and Periodic Structures, Novel Stochastic Dynamics, Signal Processing Techniques for Civil Engineering Applications, Vibration-based Monitoring and Dynamic Identification of Historic Constructions, Modeling and Analysis of Nanocomposites and Small-Scale Structures, Gradient Flows in Mechanics and Continuum Physics, Multibody Systems Vibration Analysis, Mechanics of Renewable Energy Systems, Mathematical Modeling and Experimental Techniques for Quantification and Prediction of Fluid Dynamic Noise, and Advanced Process Mechanics. Keywords: Fluid Mechanics, Solid Mechanics, Structural Mechanics, Mechanics of Machine, Computational Mechanics, Biomechanics, Masonry Modelling and Analysis, Dynamical Systems in Civil and Mechanical Structures, Control and Experimental Dynamics, Mechanical Modelling of Metamaterials and Periodic Structures, Novel Stochastic Dynamics, Signal Processing Techniques for Civil Engineering Applications, Vibration-based Monitoring and Dynamic Identification of Historic Constructions, Modeling and Analysis of Nanocomposites and Small-Scale Structures, Gradient Flows in Mechanics and Continuum Physics, Multibody Systems Vibration Analysis, Mechanics of Renewable Energy Systems, Mathematical Modeling and Experimental Techniques for Quantification and Prediction of Fluid Dynamic Noise, and Advanced Process Mechanics.

The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.