Abstract
Analyses are presented of the vibrational frequencies and bending due to slewing of lightweight mirrors suitable for space applications. Two mirror configurations are considered: petals, in which bending resists deformation; and meniscus mirrors in which circumferential stresses resist deformation. For the first case, an exact solution was found for the bending due to slewing while the energy method was used for the vibrational frequencies. The results indicate that the bending frequencies are large enough to validate the constant slewing rate assumption. The bending and rms wavefront error of a small petal mirror was negligible, but the bending of the large mirror led to unacceptable values of the tilt and wavefront error. Additional investigations are warranted to determine if an active structure can overcome the large bending aberrations. For the meniscus mirror, the bending frequencies were found to be a factor of 5 greater, and the deformations two orders of magnitude smaller than the petal mirrors. The bending and vibration frequencies of the secondary mirror tower are also analyzed.
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