• Eigen-solution within specified bounds

A. H. Ibrahim

Abstract:
For some practical problems in vibration analysis, it is desirable to determine a few roots lying in a desired range, along with the associated vectors. The usual solution techniques compute only the first few roots and vectors and are inefficient for the effective solution of the present problem. This paper is concerned with the accurate and efficient computation of a few specified intermediate roots and vectors without having to compute any other; two associated procedures are described in detail in this paper. Both techniques are applicable for the efficient solution of the usual un-damped free vibration problem of structural systems.