中国物理B ›› 2018, Vol. 27 ›› Issue (3): 36302-036302.doi: 10.1088/1674-1056/27/3/036302

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Power flow analysis in a hybrid phononic crystal structure

Hanbei Guo(郭寒贝), Qiang Li(李强), Liubin Zhou(周刘彬), Lei Qiang(强磊)   

  1. The Second Ship-Designing Institute of Wuhan, Wuhan 430064, China
  • 收稿日期:2017-10-16 修回日期:2017-12-28 出版日期:2018-03-05 发布日期:2018-03-05
  • 通讯作者: Hanbei Guo E-mail:ghb901127@foxmail.com

Power flow analysis in a hybrid phononic crystal structure

Hanbei Guo(郭寒贝), Qiang Li(李强), Liubin Zhou(周刘彬), Lei Qiang(强磊)   

  1. The Second Ship-Designing Institute of Wuhan, Wuhan 430064, China
  • Received:2017-10-16 Revised:2017-12-28 Online:2018-03-05 Published:2018-03-05
  • Contact: Hanbei Guo E-mail:ghb901127@foxmail.com

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摘要： To reveal the energy transmission through a hybrid phononic crystal structure, power flow analysis is carried out in this paper. Hysteretic damping having significant relationship with power flow is added and corresponding theoretical formulas of the dispersion relation are derived. Besides, the power flow in the hybrid structure is calculated by using the finite element method. The results show that as the damping increases, the boundaries of the band gaps become smoother and dimmer, i.e., broader width. With the increase of damping, the power flow is lowered at the resonance frequencies, while slightly increases near the resonance frequencies. The power flow maps manifest energy distribution in the hybrid structure within and out of the band gaps, which can be exploited in the optimization of the structure design.

关键词: energy transmission, hybrid phononic crystal, power flow, hysteretic damping

Abstract: To reveal the energy transmission through a hybrid phononic crystal structure, power flow analysis is carried out in this paper. Hysteretic damping having significant relationship with power flow is added and corresponding theoretical formulas of the dispersion relation are derived. Besides, the power flow in the hybrid structure is calculated by using the finite element method. The results show that as the damping increases, the boundaries of the band gaps become smoother and dimmer, i.e., broader width. With the increase of damping, the power flow is lowered at the resonance frequencies, while slightly increases near the resonance frequencies. The power flow maps manifest energy distribution in the hybrid structure within and out of the band gaps, which can be exploited in the optimization of the structure design.

Key words: energy transmission, hybrid phononic crystal, power flow, hysteretic damping

中图分类号:  (Phonons in crystal lattices)

  • 63.20.-e
63.20.D- (Phonon states and bands, normal modes, and phonon dispersion) 63.22.-m (Phonons or vibrational states in low-dimensional structures and nanoscale materials) 63.20.Pw (Localized modes)