Nonlinear dynamics behavior of a space telescope flexible reflective mirror in the deployment-process considering the effects of geometric nonlinearity and laminated composite material

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (2) : 1-8.

YOU Bindi，LIANG Dong，WEN Xiaolei，YU Xiangjie

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Abstract

A methodology for the nonlinear modeling of a deployable space telescope mechanism composed of laminated composite shell flexible reflective sub-mirrors during deployment was proposed considering its geometric nonlinear effect.In the present model, shell elements were employed to describe the deformation and stress-strain relationship of the mirror, the mirror curvature of initial configuration and its laminated structure characteristics, were taken into account and the model was based on the absolute nodal coordinate formulation (ANCF).Then, the corresponding efficient equations of the space telescope flexible reflective mirror during deployment were deduced based on the virtual work principle with consideration of the coupling effect between mirror flexible deformation and large-angle maneuver.Furthermore, the deployable mirror dynamics behaviors basedon the present model and traditional models, were analysed and compared.The results show that the ANCF shell elements can describe the deformation of mirror more accurately.The coupling between multiple sub-mirrors deploying at the same time makes the mirror accuracy reduce and disturbs the attitude of the satellite body.The above conclusions would have important academic value and engineering significance.

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space telescope / flexible reflective mirror / laminated composite material / shell element / dynamics behavior

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YOU Bindi，LIANG Dong，WEN Xiaolei，YU Xiangjie. Nonlinear dynamics behavior of a space telescope flexible reflective mirror in the deployment-process considering the effects of geometric nonlinearity and laminated composite material[J]. Journal of Vibration and Shock, 2020, 39(2): 1-8

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