The cubic pitching moment coefficient of spin-stabilized projectiles

Abstract

This technical note presents a feasible method to effectively predict the cubic pitching moment coefficient for spin-stabilized projectiles. First, a surrogate model for predicting the cubic moment coefficient is constructed by using the Kriging method to relevant published data of several typical spin-stabilized projectiles. The result of a wind tunnel test validates the accuracy of the Kriging prediction, implying that this prediction model complements the current research literature. Second, the global sensitivity analysis combined with this prediction model is used to assess the effect of the shape parameters of spin-stabilized projectiles on the cubic pitching moment coefficient. As a result, the relationship between the shape parameters and the nonlinear pitching moment coefficient is preliminarily explored. The results of an example show that the cylindrical part length, the head shape parameter and the nose length have greater influence, whereas the boat-tail length has the weakest influence.

Keywords

spin-stabilized projectile cubic pitching moment coefficient Kriging method nonlinear aerodynamics prediction global sensitivity analysis

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References

McCoy

, Modern exterior ballistics: the launch and flight dynamics of symmetric projectiles. Atglen, PA: Schiffer Publ, 1999; 9: 13.

McCoy

Research Lab Rept BRL-MR-3810 . The aerodynamic characteristics of .50 ball, M33, API, M8, and APIT, M20 ammunition, US army ballistic. Aberdeen, MD: Aberdeen Proving Ground, 1990.

Whyte

Rept BRL-CR-659 . Aerodynamic coefficients of the M483A1 determined from spark range tests, US army ballistic research lab. Aberdeen, MD: Aberdeen Proving Ground, 1991.

Jernell

. Aerodynamic characteristics of bodies of revolution at Mach numbers from 1.50 to 2.86 and angles of attack to 180. Washington, DC: NASA, 1968. TM X-1658.

Kubota

Arai

Matsuzaka

. Flat spin of slender bodies at high angles of attack. J Spacecr Rockets 1983; 20(2): 108–114, DOI: 10.2514/3.28365

Kawamura

Aihara

. Fluid dynamics of high angle of attack IUTAM Symposium Tokyo. Berlin: Springer–Verlag, 1993, pp. 1–440, DOI: 10.1007/978-3-642-52460-8

Deng

Tian

, et al. Recent progress on the study of asymmetric vortex flow over slender bodies. Acta Mech Sin 2008; 24(5): 475–487, DOI: 10.1007/s10409-008-0197-3

DeSpirito

. CFD aerodynamic characterization of 155-mm projectile at high angles-of-attack. In: 35th AIAA applied aerodynamics conference. Denver, CO, 5-9 June 2017. AIAA Paper 2017-3397. DOI: 10.2514/6.2017-3397

Aogaki

Kitamura

Nonaka

. High angle-of-attack pitching moment characteristics of slender-bodied reusable rocket. J Spacecr Rockets 2018; 55(6): 1476–1489, DOI: 10.2514/1.A34211

10.

Kelly

. The prediction of nonlinear normal force and pitching moment for bodies of revolution without boat-tail. Int J Aeronaut 1953; 20(12): 854–855, DOI: 10.2514/8.2882

11.

Moore

. Approximate methods for weapon aerodynamics. In: Progress in astronautics and aeronautics, Vol 186. Reston, VA: AIAA, 2000. Chap 5.

12.

Moore

Hymer

. The 2002 version of the aeroprediction code: part I-summary of new theoretical methodology. Dahlgren, VA: Naval Surface Warfare Center Rept. NSWCDD/TR-01/108, 2002.

13.

Wang

, et al. Theoretical analysis and numerical simulation of coefficient of pressure center of body of slender revolution at high-angle-of-attack. J.Mod Def Technol 2013; 35(2): 7–11.

14.

Forrester

AIJ

Sobester

Keane

. Engineering design via surrogate modelling: a practical guide. West Sussex: John Wiley & Sons Ltd, 2008. Chap 2.

15.

Fowler

Rogers

. Airframe performance optimization of guided projectiles using design of experiments. J Spacecr Rockets 2015; 52(6): 1603–1613. DOI: 10.2514/1.A33367

16.

Arnoult

Zeidler

Garnier

. Control surface geometry surrogate-based optimization for spin-stabilized projectile course correction. AIAA Journal 2020; 58(2): 550–560. DOI: 10.2514/1.J058323

17.

Saltelli

Ratto

Andres

, et al. Global sensitivity analysis: the primer. West Sussex: John Wiley

Sons Ltd, 2008, pp. 1–4.

18.

Machala

Collin

Gilson

, et al. Global sensitivity analysis for modeling the free-flight behavior of an artillery projectile. AIAA Journal 2020; 58(7): 3139–3148, DOI: 10.2514/1.J059065

19.

McCoy

. MC DRAG-A computer program for estimating the drag coefficients of projectiles US army ballistic research lab. Aberdeen, MD: Aberdeen Proving Ground, 1981.

20.

Cheng

. Interference and correction on wind tunnel testing. Beijing, China: National Defense Industry Press, 2003, pp. 3–4.