Structural vibration analysis by a progressive simultaneous iteration method

This paper provides details of a newly developed structural eigenproblem so lution technique that effects simultaneous convergence of a set of desired roots and associated vectors in an accurate and efficient fashion. The procedure is based on a progressive simultaneous iteration method that enables effective computation of either the first few or a specified number of intermediate roots and associated vectors without having to compute any other. Numerical results pertaining to some practical problems are also pr esented that testify to the superior convergence characteristics of the pre sent procedure when compared with other existing ones.