弧向裂纹圆板的振动与辐射声场

Vibration and radiated sound field of a circular plate with an arc crack

目的探究弧向裂纹对薄圆板声振特性的影响规律。方法用瑞利-里兹方法求解弧向裂纹对周界固定薄圆板振动特性的影响。在有限元模态分析的基础上,导出数据,利用离散瑞利积分,求解人工裂纹圆板前五阶模态辐射声场在距离板中心0.5 m的球面上的声场指向性,探究裂纹对辐射声场的影响规律。结果弧向裂纹位于a/2附近时,周界固定裂纹圆板的振动基频随裂纹长度的增加而降低;得到了裂纹圆板低阶模态辐射声场指向性。结论可用于裂纹圆板声振特性研究。

Aim To find the effect of arc crack to vibration characteristic of circular plate.Methods The vibration characteristic of a circular plate clamped on the edge with an arc crack is solved by Rayleigh-Ritz method.Based on the data of FEM model analysis,using Rayleigh integral,the sound directivity pattern at distance 50cm from the center of the plate are presented.Results If arc crack at a/2,the fundamental frequency of circular plate descends with the length of crack rise,the sound directivity pattern of circular plate at low model is presented.Conclusion The methods may be used to research the vibration characteristic of a circular plate with arc crack.