A note on the periodic orbits of a self excited rigid body

Ferrándiz, José M.; Guirao, Juan Luis García; Vera, Juan A.

doi:10.1016/j.mechrescom.2013.11.004

Cited by 4 publications

(3 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It should be noticed that figures (5,8), (6,9) and (7,10) describe the behavior of the body below, near and above the maximum value of time t , respectively. The spatial figures for most values of Newtonian force field are presented; see figures (11)(12)(13)(14)(15)(16).…”

Section: Discussion Of Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field

Amer

Abady

2016

Delta Journal of Science

View full text Add to dashboard Cite

In this paper, we introduce a new solution of the Euler's dynamic equations for the rotational motion of a rigid body about a fixed point under the action of a Newtonian force field. The components of the angular velocity vector for this solution are differing from the most famous cases. We assumed that the center of mass of the rigid body coincides with the fixed point and a restriction on an initial condition is applied. The obtained solution is represented graphically using most recent computer codes to describe the motion at any time and is considered as a modification of Euler's case.

show abstract

Section: Discussion Of Resultsmentioning

confidence: 99%

“…The perturbed self-excited rigid body problem with a fixed point is investigated in [16]. The averaging theory [17] is used to study the periodic orbits up to first order.…”

mentioning

confidence: 99%

Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field

Amer

Abady

2016

Delta Journal of Science

View full text Add to dashboard Cite

show abstract

“…For doing this we shall use the averaging theory of dynamical systems, see Appendix for more details on it. We have been inspired by other works where these techniques have been used for studying other perturbed dynamics problems, see for instance [2,3,4,5,6,7,8,9,10].…”

Section: Introduction and Statement Of The Main Resultsmentioning

confidence: 99%

On the Periodic Auto–Oscillations of an Electric Circuit with Periodic Imperfections on Its Variables

Bustos¹,

Lpez

Martnez³

2013

Appl. Math. Inf. Sci.

View full text Add to dashboard Cite

Abstract:The aim of the present paper is to study the periodic auto-oscillations of an electric circuit with periodic imperfections on its variables composed by three condensers, one of them without charge, and two bobbins. We model this system by the Lagrangian approach using the morphology of the Hill problem and the main tool used for proving the results is the averaging theory of dynamical systems.

show abstract

On the application of KBM method for the 3-D motion of asymmetric rigid body

Amer

Abady

2017

Nonlinear Dyn

View full text Add to dashboard Cite

A note on the periodic orbits of a self excited rigid body

Abstract: Abstract. The aim of the present paper is to study the periodic orbits of a perturbed self excited rigid body with a fixed point. For studying these periodic orbits we shall use averaging theory of first order.

Cited by 4 publications

References 7 publications

Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field

Higher estimates for the solution of a heavy rigid body moving under the action of a Newtonian force field

On the Periodic Auto–Oscillations of an Electric Circuit with Periodic Imperfections on Its Variables

On the application of KBM method for the 3-D motion of asymmetric rigid body

Contact Info

Product

Resources

About