Stresses and Deformations in a Uniformly Rotating Rectangular Mirror

Exact expressions for the stresses and displacements in a uniformly rotating mirror of rectangular cross section are presented in dimensionless form. Dimensionless plots of stresses and displacements are given for various ratios of mirror width to thickness, and the distorted shape of the mirror is illustrated for one specific case. It is shown that a mirror can be ground in an initial shape such that it becomes rectangular when operating at the desired speed. The technique for determining this shape is presented and the required shape is illustrated for one specific case. An expression for the curvature of the reflecting surfaces is not given but can readily be obtained using the displacement equations.

Print ISSN

0361-4573

Published

1964-12

Content type

Original Research

DOI

10.5594/J15386