Mads Dynamics

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Dynamics of Mechanical Systems with Variable Mass

The book presents up-to-date and unifying formulations for treating dynamics of different types of mechanical systems with variable mass. The starting point is overview of the continuum mechanics relations of balance and jump for open systems from which extended Lagrange and Hamiltonian formulations are derived. Corresponding approaches are stated at the level of analytical mechanics with emphasis on systems with a position-dependent mass and at the level of structural mechanics. Special emphasis is laid upon axially moving structures like belts and chains and on pipes with an axial flow of fluid. Constitutive relations in the dynamics of systems with variable mass are studied with particular reference to modeling of multi-component mixtures. The dynamics of machines with a variable mass are treated in detail and conservation laws and the stability of motion will be analyzed. Novel finite element formulations for open systems in coupled fluid and structural dynamics are presented.
Classical Mechanics

Author: Emmanuele DiBenedetto
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-10-17
* Offers a rigorous mathematical treatment of mechanics as a text or reference * Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles * Employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst behind new concepts and discoveries
Modeling of Dynamic Systems with Engineering Applications

This book provides cutting-edge insight into systems dynamics for both students and practicing engineers. Updated throughout for the second edition, this book serves as a firm foundation to develop expertise in design, prototyping, control, instrumentation, experimentation, and performance analysis. Providing a clear discussion of system dynamics, this book enables students and professionals to both understand and subsequently model mechanical, thermal, fluid, electrical, and multi-domain (or, multi-physics) systems in a systematic, unified, and integrated manner. Concepts of through and across-variables, are introduced and applied, alongside tools of modeling and model representation in linear graphs. This book uses innovative worked examples and case studies, alongside problems and exercises based on practical situations. This book is a crucial companion to undergraduate and postgraduate engineering students, alongside professionals in the engineering field. Complete solutions to end-of-chapter problems are provided in a solutions manual, which is available to instructors.