Computational Method for the Determination of Forced Motions in Mass-spring Systems

Abstract

In this paper, we propose a computational method for the determination of forced motions in mass-spring systems. The method of interpolation and collocation of Hermite polynomial (as basis function) was adopted to generate continuous computational hybrid linear multistep methods which were evaluated at grid points to form a discrete computational block method. The method was applied on two real life problems to determine the motions of weights in mass-spring systems. We also went further to analyze some properties of the method like zero-stability, consistence and convergence. From the results we obtained, it showed that the proposed method is computationally reliable.