A new approach of vibration isolation analysis of periodic composite structure based on phononic crystal

  • PDF / 297,112 Bytes
  • 7 Pages / 547.087 x 737.008 pts Page_size
  • 111 Downloads / 175 Views

DOWNLOAD

REPORT


A new approach of vibration isolation analysis of periodic composite structure based on phononic crystal Wang Yong Æ Huang Qibai Æ Zhou Minggang Æ Liu Zhanxin

Received: 22 August 2006 / Accepted: 8 December 2006 / Published online: 12 January 2007  Springer Science+Business Media B.V. 2007

Abstract It is well-known that phononic crystal has a good effect of vibration isolation within some frequency range. The transmission performances of elastic waves propagating in three-dimension composite structure, based on phononic crystal, embedded periodically with spherical scatterers with different mass density and Lame coefficients are analyzed by the transfer matrix method in this paper. The transfer matrix of monolayer structure and the entire structure are deduced by the wave equations considering boundary conditions of displacement and stress continuity between layers, the reflectivity and transmissivity of vibration isolation of the structure are obtained by calculating its effective impedance, and some useful conclusions are drawn after numerical simulation is carried out. Keywords Periodic composite structure based on phononic crystal  Transmission performances  Transmissivity  Numerical simulation

W. Yong (&)  H. Qibai  Z. Minggang  L. Zhanxin Department of Mechanical Design, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People’s Republic of China e-mail: [email protected]

1 Introduction It is one of the most urgent problems needing to be solved in the engineering all the time to suppress harmful vibration. Vibration isolation is one of the most extensive applications in the vibration control. Vibration isolation is to take some measures between the vibration source and system, such as placing appropriate vibration isolators to isolate direct transmission of the vibration. Its essential is to add a subsystem between the vibration source and system. From the point of view of energy, vibration isolation is to change the spectral structure of energy excited to the system by vibration source, thereby vibration is suppressed by reducing the energy of band-pass frequency. Since the eighties of the 20th century, the vibration isolation performances of multilayer structure and periodic composite structure based on phononic crystal have gradually become one of the focuses that the domestic and international vibration fields study. Periodic composite structures based on phononic crystal have a good application prospect because of their good effect of vibration isolation within some frequency range. Therefore, the research on elastic wave transmission properties in periodic composite structures has attained more and more attentions. Chen and Ye presented a theoretical analysis of acoustic stop

123

104

bands in two-dimensional scattering arrays (Chen and Ye 2001). A self-consistent wave scattering theory, incorporating all orders of multiple scattering, is used to obtain the wave transmission. Psarobas et al. developed a formalism for the ca