Analysis of the repeatability of a deployable space tri-prism mast based on the Monte Carlo method

다국어 초록 (Multilingual Abstract)

Space deployable mast, which is a supporting mechanism, especially for a space telescope, requires high repeatability. In this study, a deployed space tri-prism mast was taken as the research object, and the change of a tensional cable’s tension force was equivalent to an external load. Based on the accurate stiffness model of the mast, the repeatability of the tri-prism mast was calculated by using the Monte Carlo method. Then, the influences of the number of units, the change in the tension force, the thickness of the linkage, and the radius of the tensional cable on the repeatability of the tri-prism mast were studied. Moreover, the correctness of the analytical model was verified by the repeatability experiments. Results demonstrated that the proposed method could be used to analyze the repeatability of tri-prism mast.
This study provided references and suggestions for the design of high-precision space deployable mast.

참고문헌 (Reference)

1 D. P. Kroese, "Why the Monte Carlo method is so important today" 6 (6): 386-392, 2014

2 T. -M. Yeh, "Using the Monte Carlo simulation methods in gauge repeatability and reproducibility of measurement system analysis" 11 (11): 780-796, 2013

3 Y. Chuangui, "Uncertainty analysis and evaluation of measurement of the positioning repeatability for industrial robots" 45 (45): 492-504, 2018

4 M. Ciavarella, "The state of stress induced by the plane frictionless cylindrical contact, II. The general case (elastic dissimilarity)" 38 (38): 4525-4533, 2001

5 M. Ciavarella, "The state of stress induced by the plane frictionless cylindrical contact, I. the case of elastic similarity" 38 (38): 4507-4523, 2001

6 G. S. Agnes, "Testing the deployment repeatability of a precision deployable boom prototype for the proposed SWOT KaRIn instrument" 1838-, 2015

7 D. J. Dichmann, "Stationkeeping Monte Carlo simulation for the James Webb space telescope" 2014

8 O. Stohlman, "Shape accuracy of a jointdominated deployable mast" 2605-, 2010

9 O. R. Stohlman, "Repeatability of joint-dominated deployable masts" California Institute of Technology 2011

10 Y. Cheng, "Reliability prediction of machinery with multiple degradation characteristics using double-Wiener process and Monte Carlo algorithm" 134 : 106333-, 2019

11 S. Weinzierl, "Introduction to monte carlo methods"

12 M. Li, "Flatness-oriented parameters allocation of multipanel deployable antenna based on Monte-Carlo simulation" IEEE 497-502, 2019

13 H. Jing, "Evaluation of measurement uncertainty based on quasi-Monte-Carlo method in the large diameter measurement" 51 (51): 093601-, 2012

14 Héctor F. Quintero, "End-effector positioning due to joint clearances: A comparison among three planar 2-DOF parallel manipulators" 대한기계학회 33 (33): 3497-3507, 2019

15 O. Stohlman, "Effects of component properties on the accuracy of a joint-dominated deployable mast" 2163-, 2011

16 M. R. Brake, "Dynamics of Coupled Structures, 1" Springer 245-252, 2014

17 Y. Gon, "Deployment repeatability of pointing performance for highly precise extensible optical bench considering uncertainties on backlash and friction" 18 (18): 25-31, 2020

18 F. Lin, "Deployment accuracy analysis of cable-strut deployable mechanism with joint clearances and forces constrained" 20 (20): 2085-2098, 2018

19 S. Mohan, "Computational Kinematics" Springer 432-440, 2018

20 S. Jeon, "Characterization of Hertzian rolling microslip in precision revolute joints for deployable space structures" Univ. Colorado 2009

21 Y. Liang, "Analysis of volumetric error of machine tool based on Monte Carlo method" 10 (10): 1290-1295, 2013

22 X. Wen, "Adaptive Monte Carlo and GUM methods for the evaluation of measurement uncertainty of cylindricity error" 37 (37): 856-864, 2013

23 W. Tian, "Accuracy design of high precision machine tools using error sensitivity analysis methodology" 231 (231): 3401-3413, 2017

24 Fei Lin, "Accuracy analysis of spatial multi-loop mechanism effected by paired bearings support joint clearance" 대한기계학회 34 (34): 987-1003, 2020

25 Z. Xin, "Accuracy analysis of assembly success rate with Monte Carlo simulations" 20 (20): 128-131, 2003

26 A. Dyson, "A simple, accurate method for calculation of stresses and deformations in elliptical hertzian contacts" 206 (206): 139-141, 1992

27 Hao Tang, "A novel geometric error modeling optimization approach based on error sensitivity analysis for multi-axis precise motion system" 대한기계학회 33 (33): 3435-3444, 2019