Download or read book Dynamics of Bodies with Time Variable Mass written by Livija Cveticanin and published by Springer. This book was released on 2015-07-31 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics of Variable Mass Flexible Bodies with Time Varying Mode Shapes written by Heath Wilson and published by . This book was released on 2007 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics of Mechanical Systems with Variable Mass written by Hans Irschik and published by Springer. This book was released on 2014-10-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics of Machines with Variable Mass written by L Cveticanin and published by CRC Press. This book was released on 1998-10-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics of Machines with Variable Mass written by L Cveticanin and published by Routledge. This book was released on 2022-02-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Validation of Equations of Motion for Variable Mass Systems written by Timothy Duong and published by . This book was released on 2006 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamics written by Lawrence E. Goodman and published by Courier Corporation. This book was released on 2013-02-13 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Review of Soviet Celestial mechanics Literature written by United States. Department of Commerce. Office of Technical Services and published by . This book was released on 1958 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Multibody System Dynamics written by Werner Schiehlen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: The German Research Council (DFG) decided 1987 to establish a nationwide five year research project devoted to dynamics of multibody systems. In this project universities and research centers cooperated with the goal to develop a general pur pose multibody system software package. This concept provides the opportunity to use a modular structure of the software, i.e. different multibody formalisms may be combined with different simulation programmes via standardized interfaces. For the DFG project the database RSYST was chosen using standard FORTRAN 77 and an object oriented multibody system datamodel was defined. The project included • research on the fundamentals of the method of multibody systems, • concepts for new formalisms of dynamical analysis, • development of efficient numerical algorithms and • realization of a powerful software package of multibody systems. These goals required an interdisciplinary cooperation between mathematics, compu ter science, mechanics, and control theory. ix X After a rigorous reviewing process the following research institutions participated in the project (under the responsibility of leading scientists): Technical University of Aachen (Prof. G. Sedlacek) Technical University of Darmstadt (Prof. P. Hagedorn) University of Duisburg M. Hiller) (Prof.
Download or read book Equations of Motion for the Variable Mass Spinning Body written by William T. Thomson and published by . This book was released on 1961 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of a body under translation and rotation is examined from the point of view of a system of particles having relative motion between particles, leading to a varying configuration, and undergoing a change in mass with time, where constraints may be imposed on certain numbers of particles. Such a procedure accounts for every conceivable configuration of the system and the possibility of omitting terms in the equations of motion are minimized. The equations can be regrouped to indicate contributions of the more familiar terms, such as rigid body, jet ejection, center of mass shift, and relative motion.
Download or read book Variational Principles in Classical Mechanics written by Douglas Cline and published by . This book was released on 2018-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Translation written by and published by . This book was released on 1966 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Evolution of Motions of a Rigid Body About its Center of Mass written by Felix L. Chernousko and published by Springer. This book was released on 2017-04-20 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mechanics of Flight written by Warren F. Phillips and published by John Wiley & Sons. This book was released on 2004-01-29 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume addresses the mechanics of flight through a combination of theory and applications. Topics are presented in a logical order and coverage within each is extensive, including a detailed discussion on the quaterion formulation for six-degree-of-freedom flight.
Download or read book Practical Astrodynamics written by Alessandro de Iaco Veris and published by Springer. This book was released on 2017-11-28 with total page 1309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern textbook guides the reader through the theory and practice of the motion and attitude control of space vehicles. It first presents the fundamental principles of spaceflight mechanics and then addresses more complex concepts and applications of perturbation theory, orbit determination and refinement, space propulsion, orbital maneuvers, interplanetary trajectories, gyroscope dynamics, attitude control, and rocket performance. Many algorithms used in the modern practice of trajectory computation are also provided. The numerical treatment of the equations of motion, the related methods, and the tables needed to use them receive particular emphasis. A large collection of bibliographical references (including books, articles, and items from the "gray literature") is provided at the end of each chapter, and attention is drawn to many internet resources available to the reader. The book will be of particular value to undergraduate and graduate students in aerospace engineering.
Download or read book Mechanics written by P. Smith and published by John Wiley & Sons. This book was released on 1991-01-08 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics Second Edition P. Smith Department of Mathematics University of Keele, UK and R.C. Smith Open University, UK A revised and updated edition of the authors' highly successful earlier book, this introductory text on Mechanics is designed to give a thorough grounding in particle dynamics and elementary rigid body dynamics. Aimed at first degree students in Mathematics, Physics, Chemistry and Engineering, the book is largely self-contained, including the necessary vector calculus, as well as background differential equations and numerical methods. Topics covered include kinematics, the principles of mechanics, work and energy, rocket dynamics, linear vibration theory, orbits, non-linear dynamics, and rotating frames. The theory and explanation are backed up by more than 360 examples and problems, with many worked through in full in the text. In this new edition, the chapter on vibrations has been completely revised and divided into two, and the original chapter on linear theory has been extended to include normal modes of multiple systems. A completely new chapter on non-linear dynamics has been added to illustrate such phenomena as limit cycles, period doubling and chaos in dynamical systems. Chapters on applications of particle dynamics and differential equations have also been re-organized. The text now includes many computer-generated diagrams.
