Quasi-one-dimensional phononic crystals studied using the improved lumped-mass method: Application to locally resonant beams with flexural wave band gap

Abstract

By replacing the rectangle cells with arbitrary triangle ones, an improved lumped-mass method is introduced to study the propagation of flexural elastic waves in the infinite quasi-one-dimensional beams with locally resonant structures. Low frequency band gap is predicted and studied. The transmission frequency response function of a finite sample composed of duralumin beam and oscillators is calculated with the finite element method. Vibration experiments are conducted to verify the theoretical results, and all the results match well. The existence of locally resonant band gaps in the flexural waves of beams provides a way for the design of low-frequency vibration insulations.