Pressure distribution under flexible polishing tools. II - Cylindrical (conical) optics

Details Pressure distribution under flexible polishing tools. II - Cylindrical (conical) optics Pressure distribution under flexible polishing tools. II - Cylindrical (conical) optics

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990spie.1303..189m&link_type=abstract

IN: Advances in optical structure systems; Proceedings of the Meeting, Orlando, FL, Apr. 16-19, 1990 (A91-36651 15-74). Bellingh

Astronomy and Astrophysics

Astrophysics

Cylindrical Bodies, Flexible Bodies, Machine Tools, Optical Equipment, Polishing, Pressure Distribution, Grazing Incidence, X Ray Astrophysics Facility, X Ray Telescopes

Scientific paper

A previously developed eigenvalue model is extended to determine polishing pressure distribution by rectangular tools with unequal stiffness in two directions on cylindrical optics. Tool misfit is divided into two simplified one-dimensional problems and one simplified two-dimensional problem. Tools with nonuniform cross-sections are treated with a new one-dimensional eigenvalue algorithm, permitting evaluation of tool designs where the edge is more flexible than the interior. This maintains edge pressure variations within acceptable parameters. Finite element modeling is employed to resolve upper bounds, which handle pressure changes in the two-dimensional misfit element. Paraboloids and hyperboloids from the NASA AXAF system are treated with the AXAFPOD software for this method, and are verified with NASTRAN finite element analyses. The maximum deviation from the one-dimensional azimuthal pressure variation is predicted to be 10 percent and 20 percent for paraboloids and hyperboloids, respectively.

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