Effect of Member Length Uncertainty and Backlash on Deformation Accuracy for a High-Precision Space Truss Structure

• GON Yoya

  Department of Aerospace Engineering, Osaka Prefecture University

• KOGISO Nozomu

  Department of Aerospace Engineering, Osaka Prefecture University

抄録

This study proposes an uncertainty estimation method for the nodal displacement of a truss structure. The truss structure has been used for space structures that require high accuracy, so it is necessary to consider the effects of minute physical uncertainties of the structures. This study considers two types of physical uncertainties: member length uncertainty and position uncertainty due to backlash at the connecting nodes. A structure model is created using a space deployable structure as an example of a truss structure that requires high shape accuracy. Shape accuracy is evaluated using the distortion angle, which is defined as the error with respect to the ideal truss deployment direction. In the first part of the study, the distortion angle due to member length uncertainty is estimated by analyzing the equilibrium of the truss structure model with an uncertain member length. The confidence interval of the distortion angle is then clarified to be linearly related to the magnitude of the uncertainty by applying Monte Carlo simulation, where the uncertainty follows an independent normal distribution. An efficient estimation method for the distortion angle is then established followed by the theoretical derivation of the probabilistic distribution of the distortion angle as a Rayleigh distribution. In the second part of the study, the effect of backlash uncertainty at the connecting nodes is investigated. The backlash is modeled using a virtual cable element having a natural length equal to the backlash size. Finally, the allowable uncertainty range to satisfy a required accuracy is estimated by analyzing the proposed distortion angle while considering both types of uncertainty.

収録刊行物

• TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES

  TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 64 (1), 31-39, 2021

  一般社団法人 日本航空宇宙学会

キーワード

• Truss Structure
• Uncertainty
• Shape Accuracy
• Backlash
• Confidence Interval

詳細情報

• CRID: 1391975831225596032
• NII論文ID: 130007965787
• DOI: 10.2322/tjsass.64.31
• ISSN: 21894205
• ISSN: 05493811
• HANDLE: 10466/00017285
• Web Site: https://omu.repo.nii.ac.jp/records/12185
• Web Site: https://www.jstage.jst.go.jp/article/tjsass/64/1/64_T-20-3/_pdf
• 本文言語コード: en
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