Instability Trends of Inertially Coupled Galloping, Part I: Initiation

Instability Trends of Inertially Coupled Galloping, Part Ii: Periodic Vibrations

The non-resonant dynamic galloping of an iced, electrical transmission line is studied. Conditions and trends for the initiation of galloping have been given previously. Boundaries are presented here at which a periodic plunge or torsional motion loses stability and bifurcates into a quasi-periodic (mixed-mode) motion. Specific attention is given to the overall effects of an iced line’s eccentr...

Linear instability mechanisms for coupled translational galloping

Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions

We show that transition to longitudinal instability of strong detonation solutions of reactive compressible Navier–Stokes equations is generically associated with Hopf bifurcation to nearby time-periodic “galloping”, or “pulsating”, solutions, in agreement with physical and numerical observation. The analysis is by pointwise semigroup techniques introduced by the authors and collaborators in pr...

Analytical studies of the dynamics of gaseous detonations.

The dynamics of gaseous detonation is revisited on the basis of analytical studies. Problems of initiation, quenching, pulsation and cellular structures are addressed. The objective is to improve our physical understanding of the development, stability and structure of gaseous detonations. New insights that have been gained from analytical investigations are emphasized. Specific problems discus...

استخراج پارامترهای نرخ واکنش آغازش و رشد (I&G) برای ماده منفجره Comp-B

One of the most important issues when working with energetic materials is their initiation. Of the various methods of energetic materials initiation in the military and civilian industries, shock initiation is of particular importance. Numerical and simulation study of the shock initiation of condensed phase explosives is related to models called burning rate models, which describe the conversi...