Ilanko, S. (2015). Theoretical Basis of assembling structures in the Rayleigh Ritz Method. In Proceedings of the 10th International Symposium on Vibrations of Continuous Systems. Conference held in Colorado, USA, July 26-31, 2015.
Abstract
The use of negative structures in modelling cavities was discussed in previous symposia [1-3]. A formal proof that the use of negative structures to remove corresponding positive structural components in calculating natural frequencies has been established for discrete systems. This approach introduces extra spurious modes and methods of identifying and eliminating these modes have also been studied for the same. However, a corresponding proof for continuous systems, and its application poses some challenges. The focus of. this paper is on these challenges.
