Dynamic Analysis of Structures Using Lanczos Coordinates

摘要

A procedure for deriving the Lanczos Coordinates is explained and their use in structural dynamics analysis as an alternative to modal coordinates is discussed. The coordinates are obtained by an inverse iteration procedure in which orthogonality is imposed between the vectors resulting from successive iteration cycles. Using these Lanczos coordinates the equations of motion are transformed to tridiagonal form, which provides for very efficient time-stepping solution. The effectiveness of the method is demonstrated by a numerical example. (Author)