Fluid Mechanics and Flight Mechanics

Fusing method for dynamic derivatives and added mass of airships

  • LIN Xianwu ,
  • WANG Shichao ,
  • LI Zhibin ,
  • LAN Weiyao
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  • 1. School of Aerospace Engineering, Xiamen University, Xiamen 361005, China;
    2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266510, China

Received date: 2019-11-11

  Revised date: 2020-01-12

  Online published: 2020-02-06

Supported by

National Natural Science Foundation of China (61733017, 61873219); The "Special Funding for Top Talents" of Shandong Province

Abstract

Dynamic stability derivatives and added mass represent an airship’s aerodynamics in viscous flow and acyclic potential flow. To develop a method for fusing these two aerodynamic coefficients in airship modeling, the classification method for dynamic stability derivatives and added mass and the fusing method for same aerodynamic coefficient ingredient are studied. By introducing a unified theory for analyzing aerodynamics in incompressible flow, a conclusion is drawn that the viscous aerodynamics should be reserved and the corresponding results in acyclic potential flow should be abandoned in fusing the same ingredient of aerodynamics. By studying the relationship between aerodynamics and the present motion parameter of an airship, the classification method for aerodynamics and the aerodynamic coefficient is built. To keep the aerodynamic classification method same in the two flow fields, a new method for reconstructing the present motion parameters of airships is proposed so that the aerodynamic coefficients in the two flow fields can be both classified according to the new parameters, and each ingredient can be evaluated. Based on these studies, a new fusing method for dynamic stability derivatives and added mass is proposed and its difference with the present fusing method is discussed. A numerical example is presented to show the effect of different fusing methods on the dynamic characteristics of an airship's longitudinal perturbation motion and illustrate the necessity for adopting this new fusing method.

Cite this article

LIN Xianwu , WANG Shichao , LI Zhibin , LAN Weiyao . Fusing method for dynamic derivatives and added mass of airships[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020 , 41(8) : 123648 -123648 . DOI: 10.7527/S1000-6893.2020.23648

References

[1] LAMB H. Hydrodynamics[M]. New York:Dover, 1945:160-201.
[2] MUNK M M. The aerodynamic forces on airship hulls[R]. Kingston:Archive and Image Library, 1924.
[3] ALLEN H J. Estimation of the forces and moments acting on inclined bodies of revolution of high fineness ratio[R]. Kingston:Archive and Image Library, 1949.
[4] ALLEN H J,PERKINS E W. A study of effects of viscosity on flow over slender inclined bodies of revolution[R]. Kingston:Archive and Image Library, 1951.
[5] HOPKINS E J. A semi-empirical method for calculating the pitching moment of bodies of revolution at low Mach numbers[R]. Kingston:Archive and Image Library, 1951.
[6] WONG K,DELAURIER J, ZHIYUNG L. An application of source-panel and vortex methods for aerodynamic solutions of airship configurations[C]//The 6th Lighter-Than-Air Systems Conference,1985:874.
[7] FREEMAN H B. Force measurements on a 1/40-scale model of the US airship Akron:NACA 432[R]. Washington,D.C.:NACA, 1932.
[8] FREEMAN H B. Pressure-distribution measurements on the hull and fins of a 1/40-scale model of the US airship:NACA 443[R]. Washington,D.C.:NACA, 1934.
[9] ZAHM A F, SMITH R H, LOUDEN F A. Air forces, moments and damping on model of fleet airship Shenandoah:NACA 215[R]. Washington,D.C.:NACA, 1926.
[10] GOMES S B V. An investigation of the flight dynamics of airships with application to the YEZ-2A[D]. Cranfield:Cranfield Institute of Technology, 1990:10-21.
[11] KING A, DELAURIER J. An experimental investigation of the aerodynamic effects on a body of revolution in turning flight[C]//6th Lighter-Than-Air Systems Conference, 1985:866.
[12] COWLEY W L, GLAUERT H. The effect of the lag of the downwash on the longitudinal stability of an aeroplane and on the rotary derivative Mq[R]. Washington, D.C.:NACA, 1921.
[13] JONES S P, DELAURIER J D. Aerodynamic estimation techniques for aerostats and airships[J]. Journal of Aircraft, 1983, 20(2):120-126.
[14] WANG X. Computational fluid dynamics predictions of stability derivatives for airship[J]. Journal of Aircraft, 2012, 49(3):933-940
[15] 黄龙太, 王红伟, 姜琬, 等. 基于CFD动网格技术的飞艇动导数计算方法[J]. 航空计算技术, 2013(6):66-68. HUANG L T, WANG H W, JIANG W, et al. A method of calculating airship dynamic derivative based on CFD dynamic mesh technique[J]. Aeronautical Computing Technique, 2013(6):66-68(in Chinese).
[16] 袁先旭, 陈琦, 谢昱飞, 等. 动导数数值预测中的相关问题[J]. 航空学报, 2016, 37(8):2385-2394. YUAN X X, CHEN Q, XIE Y F, et al. Problem in numerical prediction of dynamic stability derivatives[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(8):2385-2394(in Chinese).
[17] CARRION M, BIAVA M, BARAKOS G N, et al. Study of hybrid air vehicle stability using computational fluid dynamics[J]. Journal of Aircraft, 2017, 54(4):1-12.
[18] 基里林·阿列克桑德拉·尼卡伊维奇. 现代飞艇设计导论[M]. 吴飞, 王培美, 译. 北京:国防工业出版社, 2009:5-26. KIRILIN A K. Introduction to modern airship design[M]. WU F, WANG P M, translated. Beijing:National Defense Industry Press:2009:5-26(in Chinese).
[19] MUELLER J B, PALUSZEK M A, ZHAO Y Y. Development of an aerodynamic model and control law design for a high altitude airship[C]//AIAA 3rd "Unmanned Unlimited" Technical Conference, Workshop and Exhibit. Reston:AIAA, 2004.
[20] LI Y W, NAHON M, SHARF I. Airship dynamics modeling:A literature review[J]. Progress in Aerospace Sciences, 2011, 47(3):217-239.
[21] SEBBANE Y B. Lighter than air robots[M]. Netherlands:Springer, 2012:16-34.
[22] 徐忠新. 平流层预警探测飞艇[M]. 北京:国防工业出版社, 2017:140-148. XU Z X. Stratospheric airship for early warning and detection[M]. Beijing:National Defense Industry Press, 2017:140-148(in Chinese).
[23] ZHENG W, YANG Y N. Flight dynamics and control of airship[M]. Beijing:Science Press, 2016:43-56.
[24] WU J C. A theory for aerodynamic forces and moments[R]. Atlanta:Georgia Institute of Technology, 1978.
[25] WU J C. Theory for aerodynamic force and moment in viscous flows[J]. AIAA Journal, 1981, 19(4):432-441.
[26] WU J C. Elements of vorticity aerodynamics[M].Shanghai:Shanghai Jiaotong University Press, 2014:54-55, 130.
[27] 吴子牛, 王兵, 周睿,等. 空气动力学. 下册[M]. 北京:清华大学出版社,2008:85. WU Z N, WANG B, ZHOU R, et al. Aerodynamics. Volume ii.[M]. Beijing:Tsinghua University Press, 2008:85(in Chinese).
[28] WU J Z, MA H Y, ZHOU M D. Vorticity and vortex dynamics[M]. Berlin:Springer Science and Business Media, 2006:26, 52-53.
[29] WU J Z, MA H Y, ZHOU M D. Vertical flows[M]. Berlin Heidelberg:Springer Science and Business Media, 2015.
[30] QUARTAPELLE M L. Force and moment in incompressible flows[J]. AIAA Journal, 1983, 21(6):911-913.
[31] HOWE M S. On the force and moment on a body in an incompressible fluid with application to rigid bodies and bubbles at high and low Reynolds numbers[J]. The Quarterly Journal of Mechanics and Applied Mathematics, 1995, 48(3):402-426.
[32] HESS J L, SMITH A M O. Calculation of potential flow about arbitrary bodies[J]. Progress in Aerospace Sciences, 1967, 8:1-138.
[33] LIN X W, LIN X W, LAN W Y. On the fluid dynamic force of a solid body moving in the incompressible flow[J]. Journal of Xiamen University (Natural Science), 2018, 57(1):124-129.
[34] 林新武. 不可压缩流中飞艇艇体气动力的计算方法研究[D]. 厦门:厦门大学,2018:39-41. LIN X W. On the calculation methods of aerodynamic force for the airship hull in incompressible flow[D]. Xiamen:Xiamen University, 2018:39-41(in Chinese).
[35] 刘智丽. 飞艇建模中的气动力和力矩计算方法研究[D]. 厦门:厦门大学, 2019:37-64. LIU Z L. On the calculation methods of aerodynamic force and moment in airship modeling[D].Xiamen:Xiamen University, 2019:37-64(in Chinese).
[36] BRYAN G H. Stability in aviation, macmillan[M]. London:Macmillan Co., 1911:19-37.
[37] 埃特肯. 大气飞行动力学[M]. 北京:科学出版社, 1979:157. ETKIN B. Dynamics of atmospheric flight[M]. Beijing:Science Press,1979:157(in Chinese).
[38] 方振平. 航空飞行器飞行动力学[M]. 北京:北京航空航天大学出版社, 2005:223-224. FANG Z P. Aircraft flight dynamics[M]. Beijing:Beihang University Press, 2005:223-224(in Chinese).
[39] 徐明友, 丁松滨. 飞行动力学[M]. 北京:科学出版社, 2003:7. XU M Y, DING S B. Flight dynamics[M]. Beijing:Science Press, 2003:7(in Chinese).
[40] KHOURY G A, GILLETT J D. Airship technology[M]. 2nd ed. New York:Cambridge University Press, 2012:60-86.
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