Modes and regular shapes. how to extend component mode synthesis theory

Abstract This paper gives an integrated perspective on modes and other regular shapes that have been classically used in modal analysis, modeshape expansion, component mode synthesis, domain decomposition,... Illustrations are taken out of three application areas: parameterized models which are typically considered in finite element updating and uncertainty propagation applications, hybrid models coupling test and analysis information, and design of structures damped using viscoelastic materials