CONTROL OF VIBRATION PATTERN IN STRETCHED STRINGS BY AUXILIARY APPLIED FORCES

Abstract

The problems encountered in the study of vibrating systems can be broadly classified into main categories of analysis and synthesis. This paper is concerned with a third category, viz., given a system and a prescribed set of forces acting On it, how can the spatial response of the system he altered in a desired  manner by the application of additional (control) forces? Inparticular we consider the problem of controlling the energy of vibration of a driven string over a portion of length by applying two control forces. Starting from graphical considerations an analytical method has been deduced. The results show that a good conlrol is possible. The effect of varying the point of application of a single force is then discussed.