Test equipment for a parachute tear-band to measure the cable force dynamics
LI Dongxing1, HOU Senhao1, SUN Haining1, LI Fan1, TANG Xiaoqiang1,2,3
1. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; 2. State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, China; 3. Beijing Key Lab of Precision/Ultra-Precision Manufacturing Equipment and Control, Beijing 100084, China
Abstract：Test equipment was developed to test the dynamic forces on the cable of a parachute tear-band for high-speed impact loads. The mechanics of the test equipment were simplified as a spring damping model with the system dynamics equations then derived based on the second Lagrange equation. The Runge-Kutta method was used to solve the equations to calculate the tension in the cable during the band tearing test. The results showed that the rope damping plays a major role in the early stage of the high-speed impact loading. The influences of the elastic modulus, damping and mass ratio of the two ends on the cable forces were then further studied. Comparison of the theoretical model with experimental data shows that the predicted cable forces are consistent with the experimental data, which verifies the model accuracy. The results of this study can guide the design of tear-band test equipment.
李东兴, 侯森浩, 孙海宁, 黎帆, 唐晓强. 航天降落伞撕裂带测试装置及其动态索力响应特性[J]. 清华大学学报（自然科学版）, 2023, 63(3): 294-301.
LI Dongxing, HOU Senhao, SUN Haining, LI Fan, TANG Xiaoqiang. Test equipment for a parachute tear-band to measure the cable force dynamics. Journal of Tsinghua University(Science and Technology), 2023, 63(3): 294-301.
[1] 唐晓强, 李东兴, 侯森浩, 等. 一种用于测试撕裂力的测试装置:CN202011372253.3[P]. 2020-11-30. TAND X Q, LI D X, HOU S H, et al. Testing device for testing tearing force:CN202011372253.3[P]. 2020-11-30. (in Chinese) [2] SPAK K, AGNES G, INMAN D. Cable modeling and internal damping developments[J]. Applied Mechanics Reviews, 2013, 65(1):010801. [3] DRISCOLL F R, LUECK R G, NAHON M. Development and validation of a lumped-mass dynamics model of a deep-sea ROV system[J]. Applied Ocean Research, 2000, 22(3):169-182. [4] GERSTMAYR J, SHABANA A A. Analysis of thin beams and cables using the absolute nodal co-ordinate formulation[J]. Nonlinear Dynamics, 2006, 45(1-2):109-130. [5] BERZERI M, SHABANA A A. Development of simple models for the elastic forces in the absolute nodal co-ordinate formulation[J]. Journal of Sound and Vibration, 2000, 235(4):539-565. [6] HTUN T Z, SUZUKI H, GARCÍA-VALLEJO D. Dynamic modeling of a radially multilayered tether cable for a remotely-operated underwater vehicle (ROV) based on the absolute nodal coordinate formulation (ANCF)[J]. Mechanism and Machine Theory, 2020, 153:103961. [7] 於祖庆, 兰朋, 李昆昆, 等. 基于分段连续ANCF缆索单元的输电线缆动力学建模与仿真[J]. 机械工程学报, 2018, 54(19):70-77. YU Z Q, LAN P, LI K K, et al. Dynamic simulation of electrical wire based on the piecewise absolute nodal coordinate formulation cable element[J]. Journal of Mechanical Engineering, 2018, 54(19):70-77. (in Chinese) [8] MANKALA K K, AGRAWAL S K. Dynamic modeling and simulation of satellite tethered systems[C]//Proceedings of ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Chicago, USA:ASME, 2004:144-156. [9] 包继虎. 高速电梯提升系统动力学建模及振动控制方法研究[D]. 上海:上海交通大学, 2014. BAO J H. Dynamics modeling and vibration control of high-speed elevator hoisting system[D]. Shanghai:Shanghai Jiao Tong University, 2014. (in Chinese) [10] 潘冬, 张越, 魏承, 等. 空间大型末端执行器绳索捕获动力学建模与仿真[J]. 振动与冲击, 2015, 34(1):74-79, 189. PAN D, ZHANG Y, WEI C, et al. Dynamic modeling and simulation on rope capturing by space large end effector[J]. Journal of Vibration and Shock, 2015, 34(1):74-79, 189. (in Chinese) [11] EIDSVIK O A, SCHJØLBERG I. Time domain modeling of ROV umbilical using beam equations[J]. IFAC-PapersOnLine, 2016, 49(23):452-457. [12] LU W, GE F, WANG L, et al. On the slack phenomena and snap force in tethers of submerged floating tunnels under wave conditions[J]. Marine Structures, 2011, 24(4):358-376. [13] ZHU Z H, MEGUID S A. Nonlinear FE-based investigation of flexural damping of slacking wire cables[J]. International Journal of Solids and Structures, 2007, 44(16):5122-5132.
2023, Vol. 63 
