Published: 31 December 2007

Calculation of vibrations of a single degree of freedom system

M. Ragulskis1
A. Aleksa2
K. Ragulskis3
A. Bubulis4
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Abstract

The three node numerical integration scheme with the displacement and velocity as the nodal variables for integration of the second order differential equation using finite elements in time on the basis of the method of least squares is proposed. The precision of integration is investigated and compared with the corresponding procedure based on the method of Galerkin. The error measure is introduced which shows the higher precision of the least squares technique

About this article

Received
11 October 2007
Accepted
02 December 2007
Published
31 December 2007
Keywords
one degree of freedom
vibrations
finite elements
least squares