Dynamics of variable mass systems final technical report : NASA research grant no. NAG-2-4003 : period, December 1, 1993 to March 15, 1998

Cover of: Dynamics of variable mass systems |

Published by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va .

Written in English

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  • Dynamic characteristics.,
  • Variable mass systems.,
  • Systems stability.,
  • Losses.,
  • Mass.

Edition Notes

Book details

Statementsubmitted by Department of Mechanical and Aeronautical Engineering, University of California ... Davis ; principal investigator, Fidelis O. Eke.
Series[NASA contractor report] -- NASA/CR-208246., NASA contractor report -- NASA CR-208246.
ContributionsUniversity of California, Davis. Dept. of Mechanical and Aeronautical Engineering., United States. National Aeronautics and Space Administration.
The Physical Object
Pagination1 v.
ID Numbers
Open LibraryOL15547984M

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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.

A review on dynamics of mass variable systems (Dedicated to the 70th birthday of Prof. Milos Kojic) L. Cveticanin1 1Faculty of Technical Sciences, Novi Sad, Trg D. Obradovica 6, Serbia [email protected] Abstract In this review the results of dynamics of the systems with time-variable mass are presented.

I'm encountering some issues in the understanding of some basic concepts about the dynamics of variable-mass particles and rigid bodies. For what I found, for example reading On the use and abuse of Newton's Second Law for Variable Mass Problems (Plastino,Muzzio) and also Lectures On Theoretical Physics: Mechanics (Sommerfield -- p28) the second law of Dynamics is not suitable for a variable.

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 applyingBrand: Springer International Publishing.

In mechanics, a variable-mass system is a collection of matter whose mass varies with can be confusing to try to apply Newton's second law of motion directly to such a system. Instead, the time dependence of the mass m can be calculated by rearranging Newton's second law and adding a term to account for the momentum carried by mass entering or leaving the system.

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 vibr. Early Studies of Variable Mass Systems Scientific study of variable mass systems has been in progress for more than two hundred years; so developments in this field have a long though sporadic history.

The earliest recorded work on the dynamics of bodies with varying mass was performed in the 18th century by BemouUi (). This book is designed to be a complete and integrated text on the dynamic properties of machines, mechanisms and rotors with variable mass.

New results are presented 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 chaoticFile Size: 84KB. Dynamics by Prof. George Haller. This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies, steady motions and small deviations therefrom, gyroscopic Dynamics of variable mass systems book, and causes of instability, free and forced vibrations of lumped-parameter and continuous systems.

Get this from a library. Dynamics of bodies with time-variable mass. [L Cveticanin] -- 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.

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() Dynamics of Systems of Variable Mass. In: Classical Mechanics. Advances in Mechanics and Mathematics, vol Author: Jan Awrejcewicz. Books shelved as system-dynamics: Thinking in Systems: A Primer by Donella H.

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4 Kinetics of Systems of Particles 4/1 Introduction 4/2 Generalized Newton’s Second Law 4/3 Work-Energy 4/4 Impulse-Momentum 4/5 Conservation of Energy and Momentum 4/6 Steady Mass Flow 4/7 Variable Mass 4/8 Chapter Review Part II Dynamics of Rigid Bodies 5 Plane Kinematics of Rigid Bodies The dynamics of variable mass systems has been studied by professors and researches since the 19th century [1], becoming a particular branch within classical mechanics.

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A rocket is a familiar enough motivating example, but it is a poor example to use in the actual derivation because it. variable Process output variable Level controller (LC) Control loop Measure-ment filter ym,f Filtered measure-ment Conveyor belt Reference or Setpoint ySP Measurement noise n Process (tank with belt and screw) Process disturbance (environmental variable) Figure P&I(ProcessandInstrumentation)diagramandblockdiagramof File Size: 2MB.

The section on impact problems has been revised, and a more extensive treatment of variable mass systems has been included. A more general discussion of the moment of momentum equations for systems of particles has been added, and the general momentum and energy equations for rigid bodies have been more completely by: Title: Acceleration of a constant mass with a variable force Purpose: To determine how the acceleration of the same mass is affected when the applied force is varied.

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4/6 Steady Mass Flow. Analysis of Flow Through a Rigid Container. Incremental Analysis. Angular Momentum in Steady-Flow Systems. 4/7 Variable Mass. Equation of Motion. Alternative Approach. Application to Rocket Propulsion. 4/8 Chapter Review.

PART II. DYNAMICS OF RIGID BODIES. CHAPTER 5. PLANE KINEMATICS OF RIGID BODIES. 5/1 Introduction. Chapter 9 deals with generalized theories of mechanics, including holonomic and non-holonomic systems, Lagrange's Equation for impulsive forces, and missile dynamics analysis.

Throughout this clear, comprehensive text, practice problems (with answers to many) aid the student in mastering analytic techniques, and numerous charts and diagrams. Systems of N particles 6. Solid-body motion 7. Non-inertial frames of reference 8. Variable-mass problems 9. Collisions Scattering of particles Special relativity Relativistic kinematics Space-time geometry Relativistic dynamics Towards general relativity Appendix A.

Integration using a dummy variable Appendix B. Multibody Systems Approach to Vehicle Dynamics aims to bridge a gap between the subject of classical vehicle dynamics and the general-purpose computer-based discipline known as multibody systems analysis (MBS).

The book begins by describing the emergence of MBS and providing an overview of its role in vehicle design and development. Mass then is said to be variable for the system under consideration. It is the scope of the present contribution to review the mechanical equations of balance for variable-mass systems.

Our review remains within the framework of the classical, non-relativistic continuum mechanics of Cited by: ond law applied to variable-mass systems. Then, we discuss a simple model for describing the dynamics of an oscilla-tor with a time-varying mass, where the mass is given by an explicit function of the square of time.

Thus, the obtained equation of motion is solved in closed form in. If you explicitly specify units of measurements for elements of your stock and flow diagram, do it for this dynamic variable.

Go to the Advanced section of its properties and select the System dynamics units checkbox and type the unit name in the edit box (you can find more information on units and unit checking here.); If you do not want this variable to get its value according constantly.Numerical methods are used to analyze the evolution of a hypothetical system of n bodies with variable mass, describing the behavior of a group of galaxies.

It is found that if the initial potential energy of the group is much more than the initial kinetic energy, the evolution of the system occurs explosively, resulting in an order-of.Examples.

In mechanical systems, the position coordinates and velocities of mechanical parts are typical state variables; knowing these, it is possible to determine the future state of the objects in the system.; In thermodynamics, a state variable is an independent variable of a state function like internal energy, enthalpy, and es include temperature, pressure, and volume.

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