A metastructure conceptual model of cantilever beam for transverse vibration attenuation

Abstract

Minimum weight along with low vibration level of structures are main desires of engineers in various industries such as aerospace, automobile, and electronics. The metastructures are a kind of nontraditional structures with distributed vibration absorbers without any change in their general shape. In this article, transverse vibration suppression of a proposed metastructure cantilever beam (MSCB) was considered by a lumped mass-spring model. A prismatic cantilever beam with hollow square cross-section, carrying five uniformly distributed absorbers was investigated. Effects of combination of the absorbers’ first natural frequency on vibration suppression of the whole structure were examined. Results were validated by finite element method (FEM). Frequency response functions of the MSCB were compared by those of simple prismatic cantilever beams with the same mass. The results showed that the transverse vibration does not always decrease by increasing the number of absorbers. Also, linear combination of the first natural frequencies of absorbers leads to more vibration suppression for the MSCB.