文章摘要
石焕文,尚志远,郭敏.悬臂方薄板振动的辐射声场及竖裂纹对其频谱的影响[J].,2004,23(1):35-41
悬臂方薄板振动的辐射声场及竖裂纹对其频谱的影响
The sound field of a vibrating cantilever rectangular plate and effect of a perpendicular crack on its spectra
  
中文摘要:
      在将悬臂板挠度表示为正交多项式之和的基础上,利用瑞利-里兹方法求解了悬臂板的前几阶振动模态频率及挠度.进而利用瑞利积分求解了其自由振动辐射声场的分布规律。用分区技术的瑞利-里兹方法求解了竖裂纹对悬臂板低阶模态频率的影响,并将计算结果与有限元结果作了对照。实验上用小球撞击法测定了含竖裂纹悬臂板辐射声场的频谱,谱成分与有限元结果基本符合。
英文摘要:
      Based on the result that the deflection of a rectangular plate is expressible as the summation of orthogonal polynomials, the frequencies and deflections of the low modes of a cantilever rectangular plate are determined by the Rayleigh-Ritz method and then using Rayleigh integration the distribution of the sound field radiated by the freely vibrational plate is presented. The Rayleigh-Ritz method with a sub-sectioning technique is used to obtain the low mode frequencies of the cantilever rectangular plate with a perpendicular crack, and the results are compared with the FEM results. Experimentally the spectra of the sound field are measured using collision-exciting method, and the frequencies are in agreement with FEM results.
DOI:10.11684/j.issn.1000-310X.2004.01.008
中文关键词: 悬臂方薄板  振动  辐射声场  竖裂纹
英文关键词: Cantilever rectangular  Vibration  Sound field radiated  Perpendicular crack
基金项目:
作者单位
石焕文 陕西师范大学应用声学研究所
西安710062 
尚志远 长安大学理学院 西安710064 
郭敏 长安大学理学院 西安710064 
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