We describe the procedure and the results of the final optimization of the elevation structure of the large binocular telescope. The aim of such a process was to achieve the highest structural rigidity with the lowest total mass, taking into account the basic geometry and center-of-gravity constraints. Based on the method of the 'modal strains,' the optimization process took into account the first three resonant frequencies at seven equally spaced zenith angles, for two different restraint cases. The free parameters of the optimization were cross sections of the truss elements and thicknesses of the membrane elements. The telescope structure was divided into many groups. For each group, the mass was varied in proportion to the maximum strain experienced in the above mentioned 42 modes of vibration.
Ciro Del Vecchio, Ciro Del Vecchio,
"Optimization of the elevation structure of the Large Binocular Telescope", Proc. SPIE 2871, Optical Telescopes of Today and Tomorrow, (21 March 1997); doi: 10.1117/12.269035; https://doi.org/10.1117/12.269035