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This updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clifford’s algebras, give rise to the essentially nonlinear “quasi-impact” methodology based on the idea of non-smooth temporal substitutions. In the years since “Nonlinear Dynamics: Between Linear and Impact Limits,” the previous edition of this book, was published, due to a widening area of applications, a deeper insight into the matter has emerged leading to the rudimentary algebraic view on the very existence of the complementary smooth and non-smooth base systems as those associated with two different signs of the algebraic equation j2 =± 1. This edition further includes an overview of applications found in the literature after the publication of first edition, and new physical examples illustrating both theoretical statements and constructive analytical tools. Presents an improved picture of non-smooth temporal transformations using impact systems as a basis for various analyses; Includes new examples of recent applications for problems in energy absorption/harvesting and resonance interactions; Describes a complementarity principle with a range of applications from smooth to discontinuous oscillatory processes.

Mechanics. --- Multibody systems. --- Vibration. --- Mechanics, Applied. --- Engineering. --- Dynamics. --- Nonlinear theories. --- Classical Mechanics. --- Multibody Systems and Mechanical Vibrations. --- Technology and Engineering. --- Applied Dynamical Systems.

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Based on a formalism to simulate mechanical rigid body systems with plane frictional contacts, an extension to systems with rolling contacts is proposed. A special focus is put on tagential contact compliance. A mathematical convergency proof of the solution of the tangential elastic formulation to the rigid one is proposed.

Kontaktmechaniknonholonomic --- Mehrkörperdynamik --- regularization --- nichtholonom --- multibody systems --- Zwangsbedingung --- contact mechanics --- Regularisierung --- constraints

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Dynamics of Multibody Systems, 3rd Edition, first published in 2005, introduces multibody dynamics, with an emphasis on flexible body dynamics. Many common mechanisms such as automobiles, space structures, robots and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale, multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. This revised third edition now includes important developments relating to the problem of large deformations and numerical algorithms as applied to flexible multibody systems. The book's wealth of examples and practical applications will be useful to graduate students, researchers, and practising engineers working on a wide variety of flexible multibody systems.

531.3 --- Dynamics --- Kinematics --- Mathematics --- Mechanics --- Motion --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Dynamics. Kinetics --- 531.3 Dynamics. Kinetics --- Multibody systems --- Multi-body systems --- Systems, Multibody --- Dynamics. --- Kinematics. --- Dynamique. --- Multibody systems. --- Mécanique analytique. --- Cinématique.

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This book presents the research results of advanced vibration control technology, based on two types of typical equipment in industrial engineering of China: power equipment and vibration-sensitive equipment. The main contents of this book include optimized active control strategy research, semi-active control research that can track and equivalently achieve active control effects, refined analysis of active control based on finite element method, research on the impact of vibration isolator layout on vibration isolation performance, passive and active control research based on system freedom decoupling and load decoupling, realized passive and active control research using quasi-zero stiffness system based on positive and negative stiffness, intelligent sensors optimization deployment of plane and space structure, and related key technology application cases in engineering applications. This book provides useful references for engineers and researchers in industrial engineering and technical support for practitioners in the development of China's high-end industry.

Multibody systems. --- Vibration. --- Mechanics, Applied. --- Control engineering. --- Fire prevention. --- Buildings—Protection. --- Dynamics. --- Nonlinear theories. --- Multibody Systems and Mechanical Vibrations. --- Control and Systems Theory. --- Fire Science, Hazard Control, Building Safety. --- Applied Dynamical Systems. --- Automation --- Fire --- Engineering --- Mechanical Engineering --- Technology & Engineering

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Dynamics. --- Mechanics, Applied. --- Multibody systems. --- Multi-body systems --- Systems, Multibody --- Mechanics, Analytic --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Dynamical systems --- Kinetics --- Mathematics --- Force and energy --- Mechanics --- Physics --- Statics