Calculation of natural frequencies of compressed rods with a variable cross-section. Simplified bending equation (I)
The article proposes a way of constructing improved basis functions for frequency calculation using the Bubnov-Galerkin method. Method efficiency is demonstrated by analysis of a cantilever rod having variable cross-section. Natural frequencies of such unloaded rod are calculated, and critical force for a rod compressed by follower force is determined. The article is a part of investigation studying simplified differential bending equation.