Dynamics of Mechanical Systems with Variable Mass

Dynamics of Mechanical Systems with Variable Mass
Author: Hans Irschik
Publisher: Springer
Total Pages: 277
Release: 2014-10-16
Genre: Technology & Engineering
ISBN: 3709118093

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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.

Dynamics of Machines with Variable Mass

Dynamics of Machines with Variable Mass
Author: L Cveticanin
Publisher: Routledge
Total Pages: 300
Release: 2022-02-14
Genre: Science
ISBN: 1351454161

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Designed to be a complete and integrated text on the dynamic properties of machines, mechanisms, and rotors with variable mass, this book presents new results from investigations based on the general dynamics of systems with variable parameters. The book considers both weak and strong nonlinear vibrations of these systems, and chaotic phenomena are also discussed. The conservation laws and adiabatic invariants for systems with variable mass are formulated and the stability and instability conditions of motion are defined.

Dynamics of Bodies with Time-Variable Mass

Dynamics of Bodies with Time-Variable Mass
Author: Livija Cveticanin
Publisher: Springer
Total Pages: 207
Release: 2015-07-31
Genre: Technology & Engineering
ISBN: 331922056X

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This book deals with the problem of dynamics of bodies with time-variable mass and moment of inertia. Mass addition and mass separation from the body are treated. Both aspects of mass variation, continual and discontinual, are considered. Dynamic properties of the body are obtained applying principles of classical dynamics and also analytical mechanics. Advantages and disadvantages of both approaches are discussed. Dynamics of constant body is adopted, and the characteristics of the mass variation of the body is included. Special attention is given to the influence of the reactive force and the reactive torque. The vibration of the body with variable mass is presented. One and two degrees of freedom oscillators with variable mass are discussed. Rotors and the Van der Pol oscillator with variable mass are displayed. The chaotic motion of bodies with variable mass is discussed too. To support learning, some solved practical problems are included.

Dynamics of Machines with Variable Mass

Dynamics of Machines with Variable Mass
Author: L Cveticanin
Publisher: CRC Press
Total Pages: 256
Release: 1998-10-21
Genre: Science
ISBN: 9789056990961

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Designed to be a complete and integrated text on the dynamic properties of machines, mechanisms, and rotors with variable mass, this book presents new results from investigations based on the general dynamics of systems with variable parameters. The book considers both weak and strong nonlinear vibrations of these systems, and chaotic phenomena are also discussed. The conservation laws and adiabatic invariants for systems with variable mass are formulated and the stability and instability conditions of motion are defined.

System Dynamics

System Dynamics
Author: Osama Gad
Publisher: CRC Press
Total Pages: 550
Release: 2024-09-27
Genre: Technology & Engineering
ISBN: 1040120571

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System Dynamics: Modeling, Simulation, and Response covers linearity-based modeling techniques before delving into nonlinear systems. It compares the Bond Graph technique against traditional techniques (Newton's law, Kirchhoff's law, the law of the conservation of energy, and the heat transfer law). Presenting transient response analyses of first- and second-order systems subjected to various inputs, the book provides a thorough discussion of computational analyses of transient responses using MATLAB®/Simulink and 20-sim software. It introduces the Lagrangian method and its application in handling mechanical and electrical systems. The book reviews the classical method for solving differential equations and includes Laplace transforms. The book is intended for upper-level undergraduate mechanical and aerospace engineering students taking system dynamics courses. Instructors will be able to utilize a Solutions Manual and Figure Slides for their courses.

System Dynamics for Engineering Students

System Dynamics for Engineering Students
Author: Nicolae Lobontiu
Publisher: Academic Press
Total Pages: 625
Release: 2010-03-19
Genre: Technology & Engineering
ISBN: 0080928420

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System Dynamics for Engineering Students: Concepts and Applications discusses the basic concepts of engineering system dynamics. Engineering system dynamics focus on deriving mathematical models based on simplified physical representations of actual systems, such as mechanical, electrical, fluid, or thermal, and on solving the mathematical models. The resulting solution is utilized in design or analysis before producing and testing the actual system. The book discusses the main aspects of a system dynamics course for engineering students; mechanical, electrical, and fluid and thermal system modeling; the Laplace transform technique; and the transfer function approach. It also covers the state space modeling and solution approach; modeling system dynamics in the frequency domain using the sinusoidal (harmonic) transfer function; and coupled-field dynamic systems. The book is designed to be a one-semester system-dynamics text for upper-level undergraduate students with an emphasis on mechanical, aerospace, or electrical engineering. It is also useful for understanding the design and development of micro- and macro-scale structures, electric and fluidic systems with an introduction to transduction, and numerous simulations using MATLAB and SIMULINK. The first textbook to include a chapter on the important area of coupled-field systems Provides a more balanced treatment of mechanical and electrical systems, making it appealing to both engineering specialties

Classical Mechanics

Classical Mechanics
Author: Jan Awrejcewicz
Publisher: Springer Science & Business Media
Total Pages: 475
Release: 2012-07-12
Genre: Science
ISBN: 1461437407

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This is the second volume of three books devoted to Mechanics. In this book, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts in comparison to standard text books and monographs. Apart from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and teachers from the fields of mechanical and civil engineering, this volume is also intended to be used as a self-contained material for applied mathematicians and physical scientists and researchers.