Vibro-acoustic analysis of auxetic hexagonal and anti-tetrachiral stepped cantilever beams

This research develops lightweight stepped cantilever beams using two auxetic hexagonal and anti-tetrachiral designs to reduce sound radiation from vibrating modes of attached structures. A finite element analysis (FEA) is employed to investigate the equivalent radiated power level (ERPL) of the proposed beams subjected to different excitations. A computational parametric study is performed to minimize the ERPL for two in-plane and out-of-plane configurations of the beams over a frequency range of 0 Hz to 1200 Hz. The vibro-acoustic responses of the beams are validated by two acoustic techniques of the radiated sound pressure level (RSPL) and far-field sound pressure level (FFSPL). Numerical results demonstrate an excellent vibro-acoustic performance in reducing the radiated sound power level for the beams. The proposed beams can be utilized for high-tech devices where the radiated noise control is desired. This paper opens up a great potential of using auxetic stepped cantilever beams for various engineering applications in Acoustics, Civil, Aerospace, Biomedical, and Mechanical Engineering.