Análisis modal espectral mediante el uso de vectores Ritz aplicados a una estructura

Abstract

The present study deals with the use of Ritz vectors applied to a spectral modal analysis,

in this study the theoretical aspects that govern the Rayleigh Ritz method and its application oriented towards a dynamic analysis will be reviewed, through structural analysis programs carried out in the Mat lab software. The objective of using Ritz vectors is to reduce the degrees of freedom of the structure, for this the Ritz vectors only take into account the degrees of freedom that are excited due to the application of external forces. In this way, this method generates less computational work in calculating frequencies and modal forms of the structure Ritz vectors represent a more efficient approach to the calculation of modal displacements and forces in the elements of structures that are subject to dynamic loads. In addition to demonstrating, the

difference between the method of eigenvalues and Ritz vectors applied to a dynamic analysis.