Passage Through Resonance of Rolling Finned Projectiles With Center-of-Mass Offset

Sharma, Anupam; Ananthkrishnan, N.

doi:10.1006/jsvi.2000.3114

Cited by 5 publications

(3 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, the presence of the resonance can amplify the effects of the weak coupling, giving rise to qualitatively different dynamics compared to the uncoupled system. Such effects have been exhibited in numerous physical examples, including rotordynamic systems [1,2], finned projectiles [13], and spacecraft dynamics [12]. Recently, work by Gendelman et al [3] and Vakakis and Gendelman [16] have identified resonant interactions as the primary phenomena behind "energy pumping," i.e., a controlled energy transfer between weakly coupled linear and nonlinear components.…”

Section: Introductionmentioning

confidence: 98%

Resonant dynamics in strongly nonlinear systems

Quinn

2007

Nonlinear Dyn

View full text Add to dashboard Cite

This work considers the effect of resonances in systems in which the two resonant frequencies are allowed to slowly change, depending on the state of the system. A strongly nonlinear system is introduced that allows for exact solutions. This system is then coupled to a second component, and through the method of averaging, a reduced-order model is developed that approximates the dynamical behavior near a 1:1 resonance between the two components. The resulting reduced system is studied using bifurcation theory and Melnikov analysis to obtain predictions of the nearresonant dynamics. Finally, these predictions are compared to numerical simulations of the original equations. Two main points appear: (i) for nonlinear systems, the period-amplitude dependence plays an important role in the evolution of the system, and (ii) the coordinates identified within the reduced system allow for the qualitative structure of the original equations to appear.

show abstract

Section: Introductionmentioning

confidence: 98%

Resonant dynamics in strongly nonlinear systems

Quinn

2007

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

“…18 discussed the problem of transient resonance for center-of-mass asymmetry projectiles. Sharma and Ananthkrishnan 19 researched lock-in behavior based on the local bifurcation analysis and numerical simulations. A graphical and numerical method was used to simulate the lock-in behavior when nonlinear aerodynamic properties were considered.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation analysis of the asymmetric rolling missiles

Sun

Zhang

2015

Proceedings of the Institution of Mechanical Engineers, Part G:

View full text Add to dashboard Cite

A nonlinear coupling roll-yaw motion general model for small aerodynamic asymmetric rolling missiles is presented to reveal the motion behavior of lock-in and catastrophic yaw in this research. And subsequently, local bifurcation and global bifurcation are both introduced to investigate the principle of lock-in quantitatively and qualitatively. Local dimension reduction of center manifold theorem is applied to analyze the local bifurcation and the stability. Numerical method is performed to investigate global bifurcation and roll lock-in motion. Typical topological models are established to indicate the fundamental mechanisms and characteristics of different dynamic motions. Global domains of attraction of multiple lock-in attractors of the system are determined by numerical method of point mapping under cell reference, and the initial conditions causing lock-in behavior are predicted.

show abstract

“…However, there could be mechanical systems where large-amplitude limit cycles are characterized by a di!erent combination of bifurcations. One such problem arises in the passage through resonance of rolling "nned projectiles with an o!set center of mass [4]. The dynamics of these projectiles shows the phenomenon of lock-in at resonance [5,6].…”

Section: Introductionmentioning

confidence: 99%