Rotational Dynamics of Axisymmetric Variable Mass Systems

Wang, S.-M.; Eke, Fidelis O.

doi:10.1115/1.2896031

Cited by 15 publications

(12 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It produces the equations of transitional and rotational motion in one mathematically rigorous step, and makes it possible to clarify a lot of conceptual issues in the derivation, that have been very difficult to do in previous work. The equations of motion that are derived are then compared with those obtained by Wang (1993) and others, who used the NewtonEuler approach.…”

Section: Of Motion Of Variable Mass Systemsmentioning

confidence: 99%

On the Dynamics of Variable Mass Systems

Eke

Mao

2002

International Journal of Mechanical Engineering Education

Self Cite

View full text Add to dashboard Cite

This report presents the results of an investigation of the effects of mass loss on the attitude behavior of spinning bodies in flight. The principal goal is to determine whether there arc circumstances under which the motion of variable mass systems can become unstable in the sense that their transverse angular velocities become unbounded.Obviously, results from a study if this kind would find immediate application in the aerospace field. "The first part of this study feann_s a complete and mathematically rigorous derivation of a set of equations that govern both the translational and rotational motions of general variable mass systems. The remainder of the study is then devoted to the application of the equations obtained to a systematic investigation of the effect of various mass loss scenarios on the dynamics of increasingly complex models of variable mass systems.It is found that mass loss can have a major impact on the dynamics of mechanical systems,includinga possiblechange in the systems stability picture.Factors such as nozzle geometry, combustion chamber geometry, propellant's initial shape, size and relative mass, and propellant location can all have important influences on the system's dynamic behavior. The relative importance of theseparameterson-system motion are quantified in a way thatisusefulfordesignpurposes.ii ACKNOWLEDGMENT

show abstract

Section: Of Motion Of Variable Mass Systemsmentioning

confidence: 99%

On the Dynamics of Variable Mass Systems

Eke

Mao

2002

International Journal of Mechanical Engineering Education

Self Cite

View full text Add to dashboard Cite

show abstract

“…Comets loose part of mass when traveling around the other stars due to the interaction with the solar wind, which blows off particles from their surfaces. The critical problem-oriented models in engineering fields include the motion ' of rockets [13,14], the motion of drums winded up by bands [15], the fluid-structure interaction [16,17], and the damage of steel structures due to hydrogen embrittlement [18], etc., and the expelled or captured mass significantly changes system dynamical behaviors. The nonlinear vibrations and chaotic phenomena of variable-mass systems extracted from machines, mechanisms, and rotors are summarized in the literature [19].…”

Section: Introductionmentioning

confidence: 99%

Stochastic Averaging for Quasi-Integrable Hamiltonian Systems With Variable Mass

Wang

Jin

Huang

2013

Journal of Applied Mechanics

View full text Add to dashboard Cite

Variable-mass systems become more and more important with the explosive development of micro-and nanotechnologles, and it is crucial to evaluate the influence of mass disturbances on system random responses. This manuscript generalizes the stochastic averaging technique from quasi-integrable Hamiitonian systems to stochastic variable-mass systems. The Hamiitonian equations for variable-mass systems are firstly derived in classical mechanics formulation and are approximately replaced by the associated conservative Hamiitonian equations with disturbances in each equation. The averaged Itô equations with respect to the integrals of motion as slowly variable processes are derived through the stochastic averaging technique. Solving the associated Eokker-Plank-Kolmogorov equation yields the joint probability densities of the integrals of motion. A representative variable-mass oscillator is worked out to demonstrate the application and effectiveness of the generalized stochastic averaging technique; also, the sensitivity of random responses to pivotal system parameters is illustrated.

show abstract

“…The motion is described with differential equations with variable parameters [12][13][14][15][16][17][18], namely, the effect of expulsion and/or capture of particles on the motion of the continuously mass variable system is evident as changes in the integration variables of the governing dynamic equations. Variable mass systems give rise to (dm/dt)v type terms in the motion equations which account for particle expulsion and/or capture [19].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of body separation—analytical procedure

Cvetićanin

2008

Nonlinear Dyn

View full text Add to dashboard Cite

In this paper, an analytical procedure for the determination of the dynamic parameters of a remainder body after mass separation is developed. The method is based on the general principles of momentum and angular momentum of a body and system of bodies. The kinetic energy of motion of the whole body and also of the separated and remainder body is considered. The derivatives of kinetic energies with respect to the generalized velocity determine the velocity and angular velocity of the remainder body. To confirm the proposed procedure, the results are compared with those obtained using the method of momenta and angular momenta. In the paper, the theorem about increase of kinetic energies of the separated and remainder bodies for perfectly plastic separation is proved. The increase of the kinetic energies correspond to the relative velocities and angular velocities of the separated and remainder bodies. As an example, the mass separation from a pendulum is considered. The kinematic properties of the remainder pendulum are obtained using the analytic procedure. The results are in agreement with those obtained by applying the basic principles of Newton's mechanics.

show abstract

Rotational Dynamics of Axisymmetric Variable Mass Systems

Cited by 15 publications

References 5 publications

On the Dynamics of Variable Mass Systems

On the Dynamics of Variable Mass Systems

Stochastic Averaging for Quasi-Integrable Hamiltonian Systems With Variable Mass

Dynamics of body separation—analytical procedure

Contact Info

Product

Resources

About