Generation method of phononic crystal beam coupling vibration band gap based on route guidance

Abstract

The invention discloses a generation method of a phononic crystal beam coupling vibration band gap based on route guidance. The generation method includes the steps: (1) bending a straight beam with a certain length on a certain plane, changing the axis of the straight beam into a sinusoidal waveform and constructing beam units in the sinusoidal waveform; (2) rigidly connecting the head ends and the tail ends of a plurality of sinusoidal waveform beam units, and constructing a periodic beam extending along a sinusoidal waveform direction. Bending waves and longitudinal waves in the beam are subjected to sinusoidal waveform route guidance and completely coupled, a bending and longitudinal coupling vibration band gap is generated, bending vibration and longitudinal vibration are simultaneously forbidden by one band gap, bending vibration and axial vibration can be jointly controlled and eliminated within the frequency range of the coupling vibration band gap, and the generation method solves the problem that general phononic crystal beam bending vibration band gaps and longitudinal vibration band gaps cannot play a role at the same time.

Description

technical field [0001] The invention belongs to the technical field of vibration control, and in particular relates to a method for generating a bandgap of coupled vibration of phononic crystal beams based on path guidance. Background technique [0002] Vibration is ubiquitous in nature. Many industries, such as machinery and building structures, are faced with various problems caused by vibration, such as equipment performance degradation, shortened life, and even damage. Vibration and the noise it causes also have a huge impact on the environment and endanger human health. Therefore, people have been constantly exploring how to control and eliminate harmful vibrations more effectively, and many vibration reduction and vibration isolation technologies have been proposed. [0003] Research on phononic crystals in recent years has shown that phononic crystals can be used to control and eliminate elastic waves and vibrations, and have broad application prospects in the field...

AI Technical Summary

Problems solved by technology

However, due to the limitations of existing materials, it is difficult to rely on traditional bandgap control methods such as changing material parameters, scatterer filling rate, and lattice type to achieve complete overlap of different types of vibrational bandgap ranges.

Moreover, considering that the inhibition effects of different types of vibration band gaps are also quite different, even if different types of band gaps overlap, the overlapping band gaps have different inhibition effects on different types of vibrations.

Images