Micro Rolling Moment Measurements for Asymmetric-Wing Standard Model and Dynamic Characteristics of Air Bearing
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摘要:
基于气浮轴承的自由滚转实验技术是测量再入飞行器小不对称滚转气动力的重要方法.文章研究中对偏翼标模进行了小滚转力矩测量,并针对实验系统的特点,对气浮轴承进行了无风实验标定和真空实验标定,给出了其动态特性结果.进一步分析了气浮轴承动态特性、原始数据采集测量误差和参数辨识误差对实验结果的影响,并给出了综合误差分析结果,说明了主要误差来源.结果显示:滚转力矩系数和滚转阻尼导数测量综合误差分别约为10-7和10-4量级,实验中可根据实际情况进行误差处理.研究结果对气浮轴承自由滚转实验精度提高、方案设计和设备研制等具有重要的实际意义.
Abstract:The free-rolling measurement technique based on air bearing is an important method to measure small rolling aerodynamics of slightly asymmetric re-entry vehicle. In this paper, micro rolling moments of asymmetric-wing standard model were measured, and the air bearing was calibrated under windless or vacuum conditions. The effects of air-bearing dynamic characteristics, measurement error in original data acquisition, and parameter identification error were analyzed in allusion to characteristics of testing system. The results of comprehensive error and dominating error were identified for standard model test. The analysis results show the comprehensive errors of rolling moment coefficient and roll damping derivative approximate 10-7 and 10-4 respectively. There are different treatments of error in various tests. The research results have importantly practical significances to improving the accuracy, designing projects and instruments of free-rolling testing system based on air bearing.
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Key words:
- air bearing /
- asymmetric-wing standard model /
- calibration /
- dynamic characteristics /
- error analysis
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表 1 附加滚转力矩无风实验标定结果
Table 1. Calibration results of additional rolling moment under windless conditions
ID P/(r/min) δL0, a/(mN·m) 1 300~200 6.61×10-2 2 300~100 1.36×10-2 3 600~200 1.74×10-1 4 600~400 1.94×10-1 5 400~300 5.48×10-2 avg. 400~100 4.48×10-2 表 2 附加滚转阻尼力矩无风和真空实验标定结果
Table 2. Calibration results of additional roll damping moment under windless and vacuum conditions
ID δLp, a(windless)/(mN·m·s) δLp, a(vacuum)/(mN·m·s) 1 -1.74×10-2 -1.30×10-2 2 -2.04×10-2 -1.29×10-2 3 -2.08×10-2 -1.30×10-2 4 -1.73×10-2 -1.23×10-2 5 — -1.34×10-2 6 — -1.26×10-2 7 — -1.18×10-2 8 — -1.19×10-2 avg. -1.90×10-2 -1.26×10-2 表 3 标模实验结果
Table 3. Experimental results of standard model
表 4 拉偏参数辨识结果
Table 4. Parameter identification results of deflection
parameters δCl0, d δClp, d I ±3.00×10-7 ±2.36×10-5 P, $\dot P$ ±3.04×10-7 ±4.40×10-10 all ±6.04×10-7 ±2.36×10-5 表 5 参数辨识中各系数
Table 5. Coefficients in parameter identification
R Sk Sd δCl0, i δClp, i 0.856 2.83×10-5 6.48×10-4 5.18×10-8 1.23×10-5 表 6 结果汇总
Table 6. Review of results
types Cl0 Clp standard model 1.43×10-4 -1.12×10-2 ablation model 1×10-6~8×10-5 (-2~-6)×10-3 calibration results 5.77×10-7 -8.82×10-4 measurement error ±6.04×10-7 ±2.36×10-5 parameter identi-fication error 5.18×10-8 1.23×10-5 -
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