The Vibration of a Square Frame Work with Legs

Abstract

The vibration of a square frame work with four legs is studied here. The four bars of the square frame work are of the same dimensions and homogeneous with the four legs. The frequency equations and the modes of vibration are obtained by minimizing the Lagrangian of structure, which is represented by the unknown boundary values. There are six modes, of which the first and the second frequencies are shown in graphs. This paper is concluded with the comparison between the results of the experiments and those of the theory.