Dynamics Of Bodies With Time Variable Mass
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Author | : Livija Cveticanin |
Publisher | : Springer |
Total Pages | : 207 |
Release | : 2015-07-31 |
Genre | : Technology & Engineering |
ISBN | : 331922056X |
Download Dynamics of Bodies with Time-Variable Mass Book in PDF, Epub and Kindle
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.
Author | : Heath Wilson |
Publisher | : |
Total Pages | : 74 |
Release | : 2007 |
Genre | : Space vehicles |
ISBN | : 9781109807011 |
Download Dynamics of Variable Mass Flexible Bodies with Time Varying Mode Shapes Book in PDF, Epub and Kindle
The equations of motion of a flexible variable-mass launch vehicle, modeled as a system of particles that deform with respect to the vehicle frame, were derived using Kane's Equations. Flexural motion using the assumed modes method with the time derivative of mode shapes were included in the equations of motion as an alternative to the current mode scheduling procedure common in practice and to determine the significance of the new terms.
Author | : Hans Irschik |
Publisher | : Springer |
Total Pages | : 277 |
Release | : 2014-10-16 |
Genre | : Technology & Engineering |
ISBN | : 3709118093 |
Download Dynamics of Mechanical Systems with Variable Mass Book in PDF, Epub and Kindle
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.
Author | : L Cveticanin |
Publisher | : Routledge |
Total Pages | : 300 |
Release | : 2022-02-14 |
Genre | : Science |
ISBN | : 1351454161 |
Download Dynamics of Machines with Variable Mass Book in PDF, Epub and Kindle
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.
Author | : Angadh Nanjangud |
Publisher | : |
Total Pages | : |
Release | : 2016 |
Genre | : |
ISBN | : 9781369616279 |
Download On the Rotational Dynamics of Variable Mass Systems Book in PDF, Epub and Kindle
This dissertation examines the rotational (or attitude) dynamics of variable mass systems. In the context of this study, a variable mass system comprises a rigid base and a fluid phase delimited by a massless porous shell. The mass variability is accounted for by allowing the rigid part to be consumable and the fluid phase to enter and/or exit the region of interest through the shell. The document begins by providing a brief historical perspective on the developments in attitude dynamics of variable mass systems, a relatively young field in the context of classical mechanics, mostly motivated by interest in spaceflight. This introduction is followed by examinations of general variable mass systems and proceeds onto torque-free variable mass cylinders. The first of two chapters dedicated to the general variable mass system presents an approach to derive its equation of attitude motion. This discussion is followed by a mathematical proof of directional conservation of the variable mass system's angular momentum vector in the absence of external moments. This result is utilized, in the subsequent chapter, to visually interpretthe rotation of a torque-free, axisymmetric variable mass cylinder. The approach and results presented here strongly parallel the discussions on geometry of motion of axisymmetric rigid bodies found in classic texts on mechanics. The penultimate chapter, preceding the summary of the dissertation and direction for future work, presents an algorithm to estimatethe angular speeds of nearly axisymmetric variable mass cylinders. The variable mass cylinder idealization has historically been useful for gaining insight into the rotational behaviour of rockets.
Author | : Song-Min Wang |
Publisher | : |
Total Pages | : 230 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download Attitude Dynamics of Variable Mass Systems Book in PDF, Epub and Kindle
Author | : Arthur Gordon Webster |
Publisher | : |
Total Pages | : 612 |
Release | : 1904 |
Genre | : Dynamics |
ISBN | : |
Download The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies Book in PDF, Epub and Kindle
Author | : Anil Rao |
Publisher | : Cambridge University Press |
Total Pages | : 534 |
Release | : 2006 |
Genre | : Science |
ISBN | : 9780521858113 |
Download Dynamics of Particles and Rigid Bodies Book in PDF, Epub and Kindle
This 2006 work is intended for students who want a rigorous, systematic, introduction to engineering dynamics.
Author | : Felix L. Chernousko |
Publisher | : Springer |
Total Pages | : 270 |
Release | : 2017-04-20 |
Genre | : Technology & Engineering |
ISBN | : 3319539280 |
Download Evolution of Motions of a Rigid Body About its Center of Mass Book in PDF, Epub and Kindle
The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellipsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.
Author | : Lawrence E. Goodman |
Publisher | : Courier Corporation |
Total Pages | : 933 |
Release | : 2013-02-13 |
Genre | : Technology & Engineering |
ISBN | : 0486151476 |
Download Dynamics Book in PDF, Epub and Kindle
Beginning text presents complete theoretical treatment of mechanical model systems and deals with technological applications. Topics include introduction to calculus of vectors, particle motion, dynamics of particle systems and plane rigid bodies, technical applications in plane motions, theory of mechanical vibrations, and more. Exercises and answers appear in each chapter.