Eigenfrequencies of a combined system including two continua connected by discrete elements

Abstract

Distributed and discrete physical parameter elements with attachments were studied for deeper understanding of their vibrational characteristics, which was very important for deeper understanding of their dynamic. The relations between the vibrational properties of systems and their physical properties were also determined. A generative model that differs from the ones that includes two continua connected by a discrete spring-mass system, performing longitudinal and transverse vibrations, was developed. A non-dimensional analysis was carried out to generalize the obtained results.