ANALYSIS OF SOUND RADIATION OF ELASTIC RECTANGULAR ENCLOSURE WITH CONSIDERING BOUNDARY CONDITIONS

YAO Haoping  ZHANG Jianrun  CHEN Nan  SUN Qinghong

(Department of Mechanical Engineering, Southeast University, Nanjing 210096 )

Abstract: The model of sound radiated from a rectangular enclosure consisted of two elastic supported flexible panels and four rigid panels is deduced by using Hamiltonian function and Rayleigh-Ritz method. By means of continuous distributions of artifical springs along boundary of flexible panels, this model allows the consideration of a wide variety of boundary conditions and structure joint conditions. Analytical results on the radiation of sound are presented. These results are intended to investigate two main issues: one is the coupling of the combined structure is relatively weak, so the radiation of sound is controlled by panel which is directly excited, the other is the translational stiffness affects the radiation of sound more than the rotational stiffness does. Then, modes of sound pressure and flexible panel are obtained by FEM. Modal coupling coefficients are synthesized. Finally, the responses of sound pressure is worked out by BEM. The result of the simulation method coincides well with the analytical result, and is satisfactory.

Key words: Radiation of sound Elastic support Rectangular enclosure Coupling Numerical simulation

CLC No: TB535

国家自然科学基金(50375026)和江苏省科技计划(BE2003035)资助项目. Received 20060722, received in revised form 20070220