Design of optical structures for maximum fundamental frequency

Details Design of optical structures for maximum fundamental frequency Design of optical structures for maximum fundamental frequency

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993spie.1998...50d&link_type=abstract

Proc. SPIE Vol. 1998, p. 50-59, Optomechanical Design, Daniel Vukobratovich; Paul R. Yoder; Victor L. Genberg; Eds.

Physics

Scientific paper

A procedure to maximize the fundamental frequency of optical structures is presented. The optimization method uses the finite element stresses due to the mechanical loading and the free-vibration mode shapes to determine design coefficients for the elements. Design coefficients are used to modify an initial design following an iterative procedure. This method of optimal structural design, referred to here as the Maximum Stiffness Design (MSD), is demonstrated by increasing the fundamental frequency of a support structure for a beam collapser and a telescope. Furthermore, the optimization technique is used to develop optimum contour shapes for single arch and double arch mirrors. A sixteen inch diameter solid mirror blank with a four inch diameter central hole and a 48 inch optical surface radius of curvature is optimized for maximum fundamental frequency, minimum weight, and minimum rms surface error for both single arch and double arch configurations.

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