The maximum figure of Merit (FMmax) is the most important index for a rotor which indicates the greatest hover efficiency the rotor can achieve. However, it cannot reflect the rotor's ability to keep a high Figure of Merit (FM) in certain blade load ranges. Therefore a new concept, the hover hold ability (HHA) of roltor is defined in this paper. In order to describe the distribution of vortices on a blade more accurately, the lifting-surface is used in the blade aerodynamic model. To take into consideration different airfoils, vortices of a blade are set on the middle line of an airfoil. Based on the free-wake model, a calculation method of rotor performance is established which includes the lifting-surface model, rigid blade flap equation, airfoil dynamics stall model and second-order time accurate algorithm. The model rotor FM with different tip Mach numbers (Matip) is calculated and compared with test results to validate the precision of the method. Compared with the free-wake model which includes a lifting-line model, more accurate FM of rotor is attained. Finally, the influence of critical rotor design parameters on rotor hover performance is analyzed, and new laws for the effect of design parameters on rotor hover hold ability are obtained.
TAN Jianfeng, WANG Haowen, LIN Changliang
. Analysis of Influence of Rotor Parameters on Rotor Hover Performance by Lifting-Surface and Free Wake Method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012
, 33(2)
: 249
-257
.
DOI: CNKI:11-1929/V.20111031.1056.003
[1] Pitt D M, Peters D A. Theoretical prediction of dynamic inflow derivatives. Vertica, 1981, 5(1): 21-34.
[2] He C J. Development and application of a generalized dynamic wake theory for lifting rotors. Georgia: Georgia Institute of Technology, 1989.
[3] Bagai A, Leishman J G. Rotor free-wake modeling using a pseudo-implicit algorithm. Journal of Aircraft, 1995, 32(6): 1276-1285.
[4] Bhagwat M, Leishman J G. Stability consistency and convergence of time-marching free-vortex rotor wake algorithms. Journal of the American Helicopter Society, 2001, 46(1): 59-71
[5] Karthikeyan D, James D. High resolution wake capturing methodology for hovering rotors. Journal of the American Helicopter Society, 2007, 52(2): 110-122.
[6] Zhao Q J, Xu G H. Aerodynamic performance of rotor with new type blade-tip in hover based upon test and numerical investiations. Acta Aeronautica et Astronautica Sinica, 2009, 30(3): 422-429. (in Chinese) 招启军, 徐国华. 新型桨尖旋翼悬停气动性能试验及数值研究. 航空学报, 2009, 30(3): 422-429.
[7] Conlisk A T. Modern helicopter rotor aerodynamics. Progress in Aerospace Science, 2001, 37(5): 419-475.
[8] Wang H W, Gao Z. Rotor vibratory load prediction based on generalized forces. Chinese Journal of Aeronautics, 2004, 17(1): 28-33.
[9] Li C H, Xu G H. The rotor free-wake analytical method for tiltrotor aircraft in hover and forward flight. Acta Aerodynamica Sinica, 2005, 23(2): 152-156. (in Chinese) 李春华, 徐国华. 悬停和前飞状态倾转旋翼机的旋翼自由尾迹计算方法. 空气动力学学报, 2005, 23(2): 152-156.
[10] Johson W. Airloads and wake models for a comprehensive helicopter analysis. Vertica, 1990, 14(3): 225-300.
[11] Mello O, Rand O. Unsteady frequency-domain analysis of helicopter non-rotating lifting surface. Journal of the American Helicopter Society, 1991, 36(2): 70-81.
[12] Bengin A. Three-dimensional rotor flow calculation. Faculty of Mechanical Engineering, 2005, 33(1): 33-39.
[13] JanakiRam R, Smith R. Aerodynamic design of a new affordable main rotor for the apache helicopter. The American Helicopter Society 59th Annual Forum. Phoenix, Arizona: AHS, 2003: 1-17.
[14] Leishman J G. Principles of helicopter aerodynamics second edition. Cambridge: Cambridge University Press, 2007: 70-74.
[15] Bhagwat M J. Mathematical modeling of the transient dynamics of helicopter rotor wakes using a time-accurate free-vortex method. Maryland: University of Maryland College, 2001.
[16] Tan J F. Analysis of rotor aerodynamic response under manoeuvring conditions. NanJing: Cdlege of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 2009. (in Chinese) 谭剑锋. 操纵条件下旋翼气动响应分析. 南京: 南京航空航天大学航空宇航学院, 2009.
[17] Bhagwat M J, Leishman J G. Generalized viscous vortex model for application to free-vortex wake and aeroacoustic calculations//The 58th Annual Forum and Technology Display of the American Helicopter Society International. Montreal, Canada: AHS, 2002: 11-13.
[18] Tan J F, Zhang C L, Wang H W, et al. Computations of unsteady aerodynamic characteristic of rotor airfoil at low mach numbers. Helicopter Technique, 2009(2): 1-6. (in Chinese) 谭剑锋, 张呈林, 王浩文, 等. 旋翼翼型低Ma数动态失速特性计算. 直升机技术, 2009(2): 1-6.
[19] Caradonna F X, Tung C. Experimental and analytical studies of a model helicopter rotor in hover. NASA TM-81232, 1982.
[20] Jewel J W. Compressibility effects on the hovering performance of a two-blade 10-foot-diameter helicopter rotor operating at tip mach numbers up to 0.98. NASA-TN-D-245, 1960.
[21] Peter A, Robert Z. Titanium UTTAS main rotor blade. The 31st Annual National Forum of the American Helicopter Society. Washington D. C. : AHS, 1975: 1-12.