Atmospheric Flight Dynamic Simulation Modeling Of Spin-Stabilized Projectiles
Dimitrios N. Gkritzapis, Elias E. Panagiotopoulos, Dionissios P. Margarisb and Dimitrios G. Papanikas
Abstract: A full six degrees of freedom (6-DOF) simulation flight dynamics model is applied for the accurate prediction of short and long range trajectories of high and low spin-stabilized projectiles and small bullets via atmospheric flight to final impact point. The projectile is assumed to be both rigid (non-flexible), and rotationally symmetric about its spin axis launched at low and high pitch angles. The projectile maneuvering motion depends on the most significant forces and moment variations, in addition to wind and gravity. The computational flight analysis takes into consideration the Mach number and total angle of attack effects by means of the variable aerodynamic coefficients. For the purposes of the present work, linear interpolation has been applied taking data from official an tabulated database. The aforementioned variable flight model is compared with a trajectory atmospheric motion based on appropriate constant mean values of the aerodynamic projectile coefficients. Static stability, also called gyroscopic stability, is examined as a necessary condition for stable flight motion in order to determine the sufficient initial spinning projectile rotation. The efficiency of the method developed gives satisfactory results compared with published data of verified experiments and computational codes on atmospheric dynamics model flight analysis.
Keywords: Constant and variable aerodynamic coefficients, low and high launched angles, Magnus effects, symmetric projectiles dynamics, stability criteria, trajectory dynamics prediction
Ref: JPyro, Issue 26, 2007, pp3-14
(J26_03) Share on Facebook
Download/Purchase Options :
You must be logged in to purchase or download articles.
Atmospheric Flight Dynamic Simulation Modeling Of Spin-Stabilized Projectiles And Small Bullets With Constant Aerodynamic Coefficients
Dimitrios N. Gkritzapis, EliasE. Panagiotopoulos, Dionissios P.Margarisb and Dimitrios G.Papanikas
Abstract: A full six degrees of freedom (6-DOF) simulation flight dynamics model is applied for the accurate prediction of short and long range trajectories of high and low spin-stabilized projectiles and small bullets via atmospheric flight to final impact point. The projectile is assumed to be both rigid (nonflexible) and rotationally symmetric about its spin axis launched at low and high pitch angles. The projectile maneuvering motion depends on the most significant forces and moments, in addition to wind, gravity and Magnus effects. The computational flight analysis is based on appropriate constant mean values of the aerodynamic projectile coefficients taken from an official tabulated database. The newer ICAO atmospheric model simulates the height distributions of density, pressure and temperature properties of the air. Static stability, also called gyroscopic stability, is examined as a necessary condition for stable flight motion in order to determine the sufficient initial spinning projectile rotation. The efficiency of the method developed gives satisfactory results compared with published data of verified experiments and computational codes on atmospheric dynamics model flight analysis.
Keywords: Trajectory dynamics simulation, constant aerodynamic analysis, high and low pitch angles, Magnus effects, symmetric projectiles, static stability criteria
Ref: JPyro, Issue 26, 2007, pp15-22
(J26_15) Share on Facebook
Download/Purchase Options :
You must be logged in to purchase or download articles.
5th Workshop on Pyrotechnic Combustion Mechanisms, held October 6th 2007 in Beane, France
Ernst-Christian Kocha and Rutger Webbb
For the fifth time the “Workshop on Pyrotechnic Combustion Mechanisms” was held and organized in conjunction with the International Pyrotechnics Seminar. This time it was the 34th IPS Seminar in conjunction with EUROPYRO 2007, in Beaune, France.
This workshop had a total of 21 participants, of which 4 were from France, 4 from Germany, 4 from USA, 3 from the UK, 2 from The Netherlands, 1 from South Africa, 1 from Japan, 1 from Russia, and 1 from Finland.
This event received very positive feedback from both participants and presenters. Papers based on the following presentations have already, or are expected to be published elsewhere.
• Volker Weiser, Fraunhofer ICT, Germany, Modeling Spectral Emission and Radiation Intensity of Pyrotechnic Reactions
• Alexander Dologoborodov, Semenov Institute Moscow, Russia, Mechanoactivated Energetic Composites on the Base of Metal – Oxidizer Mixtures
• Selena Burn, BAE Systems, UK, Personal Protective Equipment
The next workshop on pyrotechnic combustion mechanisms will be held on July 13 2008 in Fort Collins Colorado in conjunction to the 35th International Pyrotechnics Seminar. The topics then will focus on safety and sensitivity of pyrotechnics. For further information on that event please refer to www.pyroworkshop.net
Ref: JPyro, Issue 26, 2007, pp23-23
(J26_23) Share on Facebook
Download/Purchase Options :
You must be logged in to purchase or download articles.
Ignition and Combustion of Aluminium in High Explosives
Arno Hahma
Abstract: Ignition and combustion properties of aluminium powder up to 250 kbar pressure were successfully determined. Hydrodynamic modelling combined with parametrized reaction profiles was used to match the experimental metal plate profiles to calculated values and the metal reactivity was determined from the parameters thus obtained. The reaction profiles over a wide range of specific volumes and pressures were obtained. Aluminium ignited only if the detonation temperature was higher than 2300 K and the aluminium oxide was decomposed; even a strong shock wave was not able to clean the aluminium surface to promote ignition at lower temperatures. Aluminium reactivity at the Chapman–Jouguet plane (C-J plane) was concluded to be insignificant in all cases studied. A maximum of only 17 % reactivity by an expansion ratio of 1 : 50 was reached. The aluminium combustion could be best described with a power law Apn and the pressure exponent of aluminium was found to be slightly positive: +0.33. Nitrogen rich explosives were concluded to be necessary to convert Al energy effectively to mechanical work and to unambiguously measure the Al reactivity.
Keywords: Aluminium, Chapman–Jouguet plane, ignition, combustion, hydrodynamic modelling
Ref: JPyro, Issue 26, 2007, pp24-46
(J26_24) Share on Facebook
Note: There is supplementary information available for this article - please Click Here to download
Download/Purchase Options :
You must be logged in to purchase or download articles.
Ignition And Burning Rate Characteristics Of Pyrolant Black Powder
Takuo Kuwahara
Keywords: Black powder, pyrolant, ignition delay time, burning rate
Ref: JPyro, Issue 26, 2007, pp47-52
(J26_47)
Download/Purchase Options :
You must be logged in to purchase or download articles.
Laser Diode Ignition of Pyrotechnic Mixtures: Experimental and Numerical Studies
Pr Philippe Gillard
Abstract: An experimental study of laser ignition of Zr/KClO4, Zr/PbCrO4, Fe/KClO4, Fe/KNO3, B/KClO4 and B/KNO3 mixtures is presented in this paper. The ignition system is composed of two lenses which focus the laser beam on the tablet. A sapphire porthole, juxtaposed with the pyrotechnic composition, protects the optical unit but causes losses of heat which result in an increase of the energy threshold.
This experimental set-up was used to determine the ignition sensitivity of five mixtures. A particular behaviour of B/KNO3 was observed. Experimental results pointed out an increase of the energy of ignition when the laser power grows. The other mixtures exhibit a conventional behaviour of the trend of ignition threshold E50 according to the power P of the laser beam: a continuous decrease of the value of E50 is observed when P is rising.
Some parameters linked to the experimental device also have a great influence. Among them the power density seems to be predominant but the thermal conductivity of the sapphire windows also plays an important role. It is possible to find an optimum value of the laser diameter, for a given power density. This experimental and parametric study have shown that, on such devices, it is possible to find optimal conditions of the ignition of various pyrotechnic mixtures.
A modelling, based on a progressive absorption of the laser beam inside a reactive pyrotechnic composition, was developed. It takes account of the energy exchanges between the ignition system and the pellet. Two interface parameters make it possible to optimize calculations. One relates to the heat transfer on the level of the porthole/tablet interface, the other relates to the laser absorption of energetic materials. By combining these two terms, it has been possible to corroborate the experimental thresholds on five different pyrotechnic mixtures.
To evaluate the interface parameters, whose implication in initiation is critical, several methods are exposed. One of them proposes a numerical calculation based on a random and automatic installation of the grains. The result gives Gaussian variables. This method enables simulation of the statistical tests of Bruceton and Langlie which are used in pyrotechnics.
The numerical results show that the sensitivity of the mixtures depends primarily on the propagation of heat towards the porthole and the interior of the tablet, as well as on the in-depth absorption of the laser in the pellet.
Keywords: Laser diode, ignition, pyrotechnic mixtures, numerical modelling
Ref: JPyro, Issue 26, 2007, pp53-59
(J26_53)
Download/Purchase Options :
You must be logged in to purchase or download articles.
