ANALYTICAL CALCULATIONS OF THE VIBRATIONS OF VERTICAL STRUCTURES CONSIDERING THEIR DEAD WEIGHT

This paper presents the results of studies on analytical dependence between value a longitudinal distributed load and frequency free vibrations in uniform rod. Based exact solution corresponding differential equation, method for calculating rod structures, while considering their dead weight, is implemented. The algorithm shown using example with both ends clamped. article contains graphs formulas displaying dependencies. A table provided that all necessary coefficients to perform similar calculations other boundary conditions. These allow physical mechanical characteristics system be used determine natural structures without approximate methods.