随着空间引力波探测等无拖曳控制任务需求增加,对微推力器的高精度、低噪声推力测量需求日益增长。微重力耦合一直是造成地面微推力测量误差的重要因素。本文针对微推力器推力的地面精准测量问题,提出了一种级联摆式微小推力测量系统。建立了基于共轴传动的双扭摆系统的耦合模型,分析了质心偏移、基准倾斜对测量精度的影响,用以解耦除推力以外的重力噪声。通过Simscape Multibody软件进行多体仿真,设计并实施了级联摆实验,研究了级联摆在不同工况下的动态响应,验证了所提方法的有效性。结果表明,级联摆系统能够在~1mHz低频振动环境下解耦重力形成的微扰,实现1μN量级的精准推力测量,为空间引力波探测项目中的微推力器性能评估提供了一种有效的技术手段。
As the demand for drag-free control missions, such as space-based gravitational wave detection, grows, so does the need for high-precision, low-noise micro-thrust measurements. A significant challenge in ground-based micro-thrust measurements is the error caused by coupling with microgravity. To overcome this, we propose a cascaded torsion pendulum system for accurate ground-based micro-thrust measurements. A dual torsion pendulum model with coaxial transmission was developed to analyse the effect of centre of mass offset and baseline tilt on measurement accuracy, facilitating the decoupling of gravitational noise from thrust measurements. Multi-body simulations were performed using Simscape, followed by cascaded pendulum experiments to investigate the dynamic response of the system under different conditions. The experiments confirmed the effectiveness of the method in minimising noise. The results demonstrate that the cascaded pendulum system can successfully decouple gravity-induced disturbances in a low-frequency vibration environment (∼1 mHz), enabling accurate thrust measurements at the micro-Newton level. This approach provides a reliable method for evaluating the performance of micro-thrusters in space-based gravitational wave detection missions.
[1] Wu Y L, Luo Z R, Wang J Y, et al.China's first step towards probing the expanding universe and the nature of gravity using a space borne gravitational wave antenna[J]. Communications Physics, 2021, 4: 34. DOI:10.1038/s42005-021-00529-z.
[2] Luo J, Chen L S, Duan H Z, et al.TianQin: a space-borne gravitational wave detector[J]. Classical & Quantum Gravity, 2015, 33(3): 035010. DOI:10.1088/0264-9381/33/3/035010.
[3] Wanner G.Space-based gravitational wave detection and how LISA Pathfinder successfully paved the way[J]. Nature Physics, 2019, 15(3): 200-202. DOI: 10.1038/s41567-019-0462-3.
[4] Maselli A, Franchini N, Gualtieri L, et al.Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals[J]. Nature Astronomy, 2022, 6(4): 464-470. DOI: 10.1038/s41550-021-01589-5.
[5] 王娟, 齐克奇, 王少鑫, 等. 面向空间引力波探测的激光干涉技术研究进展及展望[J]. 中国科学:物理学力学天文学, 2024, 54(7): 105-123. DOI:10.1360/SSPMA-2024-0111.
[6] Robert A, Cipolla V, Prieur P, et al.MICROSCOPE satellite and its drag-free and attitude control system[J]. Classical and Quantum Gravity, 2022, 39(20): 204003. DOI:10.1088/1361-6382/ac09cd.
[7] 于达仁, 牛翔, 王泰卜, 等. 面向空间引力波探测任务的微推进技术研究进展[J]. 中山大学学报(自然科学版), 2021, 60(1/2): 194-212. DOI:10.13471/j.cnki.acta.snus.2020.11.09.2020B121.
[8] 洪延姬, 周伟静, 王广宇. 微推力测量方法及其关键问题分析[J]. 航空学报, 2013, 34(10): 2287-2299. DOI:10.7527/S1000-6893.2013.0334.
[9] Yang C, He J W, Duan L, et al.A torsional thrust stand for measuring the thrust response time of micro-Newton thrusters[J]. International Journal of Modern Physics A, 2021, 36(11n12): 2140015. DOI:10.1142/S0217751X21400157.
[10] 杨超, 贺建武, 康琦, 等. 亚微牛级推力测量系统设计及实验研究[J]. 中国光学, 2019, 12(3): 526-534. DOI:10.3788/co.20191203.0526.
[11] 刘旭辉, 杨飞虎, 魏延明, 等. 基于扭摆台架的动态推力测试方法研究[J]. 推进技术, 2017, 38(4): 925-931. DOI: 10.13675/j.cnki.tjjs.2017.04.025.
[12] Cui H C, Li X L.A novel design method for the micro-thrust measurement system[J]. Measurement, 2023, 221: 113543. DOI:10.1016/j.measurement.2023.113543.
[13] Zhang X, Li Z, Zou S, et al.Dynamic test of the continuously variable weak force by a torsion pendulum with pre-applied stress[J]. Measurement, 2024, 228: 114341. DOI: 10.1016/j.measurement.2024.114341.
[14] Little B, Jugroot M.Development of a microthrust balance and ion beam measurement system: Characterizing a dual-mode thruster for spacecraft[J]. Vacuum, 2019, 164: 367-380. DOI:10.1016/j.vacuum.2019.01.031.
[15] Masillo S, Stubbing J, Swar K, et al.Validation of a torsional balance for thrust measurements of Hall effect and microwave-based space propulsion systems[J]. Review of Scientific Instruments, 2022, 93(11):114501. DOI: 10.1063/5.0117584.
[16] Kößling M, Tajmar M.Design and performance of a nano-Newton torsion balance[J]. Review of Scientific Instruments, 2022, 93(7): 074502. DOI: 10.1063/5.0086975.
[17] Gilpin M R, McGehee W A, Arnold N I, et al. Dual-axis thrust stand for the direct characterization of electrospray performance[J]. Review of Scientific Instruments, 2022, 93(6): 065102. DOI:10.1063/5.0087716.
[18] Polk J E, Pancotti A, Haag T, et al.Recommended practice for thrust measurement in electric propulsion testing[J]. Journal of Propulsion and Power, 2017, 33(3): 539-555. DOI:10.2514/1.B35564.
[19] Cong L X, Mu J C, Long J F, et al.Experimental study on the response time of microthrust[J]. Acta Mechanica Sinica, 2023, 39(9): 123095. DOI:10.1007/s10409-023-23095-x.
[20] 王嘉彬, 龙建飞, 徐禄祥, 等. 闭环控制下单丝扭摆微牛级推力测量系统[J]. 电子测量与仪器学报, 2023, 37(9): 93-101. DOI:10.13382/j.jemi.B2306632.
[21] 葛川, 张德福, 李朋志, 等. 电容式位移传感器的线性度标定与不确定度评定[J]. 光学精密工程, 2015, 23(9): 2546-2552. DOI:10.3788/OPE.20152309.2546.