Journal of Theoretical
and Applied Mechanics

26, 3, pp. 471-486, Warsaw 1988

Analiza nieliniowych drgań własnych belek wieloprzęsłowych

Roman Lewandowski

The paper presents a numerical solution for geometrically non-linear free vibrations of continuous beams with elastically supported ends in the horizontal direction. The horizontaly and rotary inertia forces can be neglected and the beams are considered as the systems with distributed mass. The variational approach, finite element method, and the iterative procedure are used for determining the frequencies and non-linear modes of vibrations. Some numerical results are given.