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This is the first volume of three books by the same author, devoted entirely to classical mechanics. The triad of works covers different subjects in classical mechanics and creates a link between them by deriving topics from the same root. Moreover, the author unifies different approaches from English, Russian, Polish, and German literature devoted to classical mechanics. Emphasis is placed on the study of electro-magneto-mechanical systems. Classical Mechanics: Kinematics and Statics is addressed to a wide spectrum of undergraduate and graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering. This volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. It is also recommended as a supplementary textbook at the upper undergraduate and graduate levels. In Chapter 1 the fundamental principles of mechanics are formulated, illustrated, and discussed. Chapter 2 is devoted to statics and Chapter 3 presents the geometry of masses. Kinematics of a particle, the curvilinear and normal coordinates, and kinematic pairs and chains are the main focus of Chapter 4. Chapter 5 studies the kinematics of a rigid body and a composite motion of a particle. Chapter 6 ends the text with kinematics of a deformable body.
Mechanics -- Computer simulation. --- Mechanics -- Software. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Physics --- Applied Mathematics --- Operations Research --- Statics. --- Kinematics. --- Mathematics. --- Mathematical physics. --- Mechanics. --- Engineering design. --- Mathematical Physics. --- Engineering Design. --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Physical mathematics --- Math --- Science --- Design --- Mathematics --- Mechanics --- Motion --- Mechanics, Analytic --- Equilibrium --- Classical Mechanics.
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This is the second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. Chapter 1 covers dynamics of a particle and systems of particles, as well as rigid body motion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanical systems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and illustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamics of planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied in Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the text with geometric dynamics.
Dynamics. --- Material system. --- Mechanics. --- Dynamics --- Mechanics --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Physics --- Applied Mathematics --- Operations Research --- Mathematics --- Dynamical systems --- Kinetics --- Classical mechanics --- Newtonian mechanics --- Mathematics. --- Mathematical physics. --- Mathematical Physics. --- Physics --- Quantum theory --- Physical mathematics --- Math --- Science --- Mechanics, Analytic --- Force and energy --- Statics --- Classical Mechanics.
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This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.
Mechanical engineering. --- Materials science. --- Mechanical Engineering. --- Materials Science, general. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Material science --- Physical sciences
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Sistemes dinàmics diferenciables --- Dinàmica diferencial --- Exponents de Lyapunov --- Fluxos (Sistemes dinàmics diferenciables) --- Sistemes dinàmics aleatoris --- Sistemes dinàmics complexos --- Sistemes dinàmics hiperbòlics --- Sistemes hamiltonians --- Teoria de la bifurcació --- Dinàmica topològica --- Differentiable dynamical systems --- Data processing. --- Mathematical models. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Dinàmica combinatòria
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Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Sistemes dinàmics diferenciables --- Dinàmica diferencial --- Dinàmica combinatòria --- Exponents de Lyapunov --- Fluxos (Sistemes dinàmics diferenciables) --- Sistemes dinàmics aleatoris --- Sistemes dinàmics complexos --- Sistemes dinàmics hiperbòlics --- Sistemes hamiltonians --- Teoria de la bifurcació --- Dinàmica topològica
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This is the final volume of a triad of works by Jan Awrejcewicz (this third book with Zbigniew Koruba) devoted to classical mechanics. Classical Mechanics: Mechanics and Mechatronics presents a unique approach to studying mechanical and electromagnetic processes occurring in applied mechanics and mechatronics with emphasis on theory, modeling, and analysis and control of gyropscopic devices, including military applications. This volume address a wide spectrum of graduate students, postgraduate students, researchers, and instructors from the field of mechanics, this volume, and has a strong focus on advanced applications that will be of particular use and interest to engineers and designers practicing in the mechanical/mechatronic industry. Chapter 1 deals with dynamics in mechatronic systems. Dynamics of a rigid spherical body is studied in Chapter 2 with emphasis on applications. Chapters 3 and 4 are dedicated to the theory, evolution, and dynamics and control of the gyroscope and Chapter 5 focuses on gyroscopic control in the self-guidance systems of flying objects.
Mathematics. --- Mechanics. --- Mechatronics. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Civil Engineering --- Operations Research --- Applied Physics --- Classical mechanics --- Newtonian mechanics --- Mathematical physics. --- Mathematical Physics. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Physics --- Dynamics --- Quantum theory --- Physical mathematics --- Math --- Science --- Mathematics --- Classical Mechanics.
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Computational and Numerical Simulations is an edited book including 20 chapters. Book handles the recent research devoted to numerical simulations of physical and engineering systems. It presents both new theories and their applications, showing bridge between theoretical investigations and possibility to apply them by engineers of different branches of science. Numerical simulations play a key role in both theoretical and application oriented research.
Numerical analysis. --- Mathematical analysis --- Computer modelling & simulation
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Numerical Analysis - Theory and Application is an edited book divided into two parts: Part I devoted to Theory, and Part II dealing with Application. The presented book is focused on introducing theoretical approaches of numerical analysis as well as applications of various numerical methods to either study or solving numerous theoretical and engineering problems. Since a large number of pure theoretical research is proposed as well as a large amount of applications oriented numerical simulation results are given, the book can be useful for both theoretical and applied research aimed on numerical simulations. In addition, in many cases the presented approaches can be applied directly either by theoreticians or engineers.
Numerical analysis. --- Mathematical analysis --- Computer modelling & simulation
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Numerical Simulations of Physical and Engineering Process is an edited book divided into two parts. Part I devoted to Physical Processes contains 14 chapters, whereas Part II titled Engineering Processes has 13 contributions. The book handles the recent research devoted to numerical simulations of physical and engineering systems. It can be treated as a bridge linking various numerical approaches of two closely inter-related branches of science, i.e. physics and engineering. Since the numerical simulations play a key role in both theoretical and application oriented research, professional reference books are highly needed by pure research scientists, applied mathematicians, engineers as well post-graduate students. In other words, it is expected that the book will serve as an effective tool in training the mentioned groups of researchers and beyond.
Mechanical engineering --- Mathematical models. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Physical Sciences --- Engineering and Technology --- Mathematical Modeling --- Computer and Information Science --- Numerical Analysis and Scientific Computing
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