Abstract
In this paper, we present a deployment mechanism that is applicable to a deployable optical structure where the focus is on satellite miniaturization. It is designed with a passive deployment mechanism that utilizes a spring hinge. In order to confirm the feasibility of the designed deployable mechanism, we theoretically analyze the alignment errors (de-space, tilt, and de-center) that influence the optical performance of the structure. The theoretical results are as follows: a de-space of 180.0 µm, a tilt of 1941.3 µrad, and a decenter of 45.3 µm. In addition, we measure alignment errors to evaluate the actual alignment errors for a manufactured deployable mechanism. The experimental results are as follows: a de-space of 180.2 µm, a tilt of 218.8 µrad, and a de-center of 617.5 µm. Finally, we investigate the factors causing the differences between the theoretical and experimental values, and we suggest a method for improving the alignment errors.
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Abbreviations
- L :
-
length of panel
- h:
-
height of deployment mechanism
- r :
-
magnitude of joint clearance
- sh :
-
magnitude of hole margin for the screw assembly
- sr :
-
tightened degree of screw
- θ :
-
rotation between global coordinate system and local coordinate system
- \(\overrightarrow {cl_j }\) :
-
error vector due to joint clearance
- \(\overrightarrow {cl_sh }\) :
-
maximum error vector when fastening spring hinge and hole
- \(\overrightarrow {cl_sr }\) :
-
error vector by degree of tightening of screw
- \(\overrightarrow {cl_j } (i)\) :
-
error vector due to joint clearance of i-th case
- \(\overrightarrow {cl_j } (j)\) :
-
error vector due to joint clearance of j-th case
- \(\overrightarrow {cl_sh } (k)\) :
-
error vector when fastening spring hinge and hole of k-th case
- \(\overrightarrow {cl_sr } (l)\) :
-
error vector by degree of tightening of screw of l-th case
- \(\overrightarrow {cl}\) :
-
error vector in a,b,c,d that are considered an error of all kinds
- X:
-
x component of global coordinate
- Y:
-
y component of global coordinate
- Z :
-
z component of global coordinate
- x :
-
x component of local coordinate
- y :
-
y component of local coordinate
- z :
-
z component of local coordinate
- \(\overrightarrow {a_{ideal} }\) :
-
ideal position vector of \(\vec a\)
- \(\overrightarrow {b_{ideal} }\) :
-
ideal position vector of \(\vec b\)
- \(\overrightarrow {c_{ideal} }\) :
-
ideal position vector of \(\vec c\)
- \(\overrightarrow {d_{ideal} }\) :
-
ideal position vector of \(\vec d\)
- \(\overrightarrow {a_{real} }\) :
-
real position vector of \(\vec a\)
- \(\overrightarrow {b_{real} }\) :
-
real position vector of \(\vec b\)
- \(\overrightarrow {c_{real} }\) :
-
real position vector of \(\vec c\)
- \(\overrightarrow {d_{real} }\) :
-
real position vector of \(\vec d\)
- \(\overrightarrow {a_i }\) :
-
i-th case of real position vector of \(\vec a\)
- \(\overrightarrow {b_j }\) :
-
j-th case of real position vector of \(\vec b\)
- \(\overrightarrow {c_k }\) :
-
k-th case of real position vector of \(\vec c\)
- \(\overrightarrow {d_l }\) :
-
l-th case of real position vector of \(\vec d\)
- \(\overrightarrow {v_1 }\) :
-
\(\vec a_i - \vec b_j\)
- \(\overrightarrow {v_2 }\) :
-
\(\vec b_j - \vec c_k\)
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Choi, J., Lee, D., Hwang, K. et al. A mechanism for a deployable optical structure of a small satellite. Int. J. Precis. Eng. Manuf. 16, 2537–2543 (2015). https://doi.org/10.1007/s12541-015-0325-5
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DOI: https://doi.org/10.1007/s12541-015-0325-5