Static-and-dynamic analysis of thin-walled structural members of space radio telescopes

Structural members of space radio telescopes made as large thin shells of revolution are analyzed. A twisting shell structure prestressed by inertia or surface-distributed forces (when in the unperturbed state) is used as the basis for the analysis. Loads due to solar wind, tides, control moments and nonuniform solar heating of the structure are considered as perturbations.A procedure for defining internal forces and moments and a varied structural geometry due to interaction of unperturbed and perturbed forces is given. The results of determining the frequencies of natural oscillations of the structure are also presented. Calculations are made on the basis of the obtained linearized equations reduced to quasi-univariate ones. A matrix factorization procedure allowing for constructing a stable-state numerical algorithm for solving the problem is employed.