Abstract
The effect of Poisson’s ratio to the reflector reshaping is investigated through mechanical study of reconfigurable reflectors in this paper. The value of Poisson’s ratio corresponding to the minimum deforming stress is given and an auxetic lattice is proposed for the reflector surface. The parameters of the auxetic lattice are investigated for vary Poisson’s ratio. A case of reconfigurable reflector is studied, the curvature change and strain are calculated by surface geometry analyse, and the negative Poisson’s ratio is established for vary thickness. According to RMS calculation by the FEM structure analyse, the thickness can finally be established.
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Abbreviations
- E:
-
Young’s Modulus
- ν :
-
Poisson’s ratio
- σ :
-
Stress
- σ B :
-
Bending stress
- σ M :
-
Membrane stress
- τ :
-
Shear stress
- ε :
-
strain
- γ:
-
Shear strain
- x, y, z :
-
Crosswise, length wise direction, vertical direction
- Kx, Ky, Kg:
-
Curvature in x, y dimension and Guassian curvature
- ν Bmin :
-
Poisson’s ratio corresponding to minimal bending stress
- ν Mmin :
-
Poisson’s ratio corresponding to minimal membrane stress
- ν min :
-
Poisson’s ratio corresponding to minimal stress
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Xu, B., Fang, H., He, Y., Jiang, S., Lan, L. (2021). Design of a Morphing Surface Using Auxetic Lattice Skin for Space-Reconfigurable Reflectors. In: Zu, Q., Tang, Y., Mladenović, V. (eds) Human Centered Computing. HCC 2020. Lecture Notes in Computer Science(), vol 12634. Springer, Cham. https://doi.org/10.1007/978-3-030-70626-5_6
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