Design of optical structures for maximum fundamental frequency

Keith B. Doyle

doi:10.1117/12.156630

16 September 1993 Design of optical structures for maximum fundamental frequency

Keith B. Doyle

Proceedings Volume 1998, Optomechanical Design; (1993) https://doi.org/10.1117/12.156630
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

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.

Citation Download Citation

Keith B. Doyle "Design of optical structures for maximum fundamental frequency", Proc. SPIE 1998, Optomechanical Design, (16 September 1993); https://doi.org/10.1117/12.156630

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