文章摘要
石焕文,尚志远.周界固定带裂纹薄圆板的振动基频[J].,2004,23(3):13-17
周界固定带裂纹薄圆板的振动基频
Fundamental frequency of clamped circular plate with an internal crack
  
中文摘要:
      在将裂纹板挠度表示为正交多项式的基础上,用分区技术的瑞利-里兹方法求解了含不同长度径向裂纹和弧向裂纹的周界固定圆板的振动基频。实验上用小球撞击法测定了裂纹圆板的辐射声场频谱,并得出了谱的基频。此外用有限元法对裂纹板作了理论计算。三项结果基本符合。探究了裂纹长度对圆板基频的影响规律。
英文摘要:
      Based on the fact the deflection of a cracked plate can be expressed as the summation of orthogonal polynomials, the Rayleigh-Ritz method with a sub-sectioning technique is used to obtain the fundamental vibration frequencies of clamped circular plates with radial or arc crack of different-length. Experimentally the spectrum of the sound field radiated by the cracked plate on collision is measured and the fundamental frequency is determined. The fundamental vibration frequencies are also theoretically computed by the finite-element-method. The three results are in good agreement. The effect of the length of the crack on the fundamental frequency is noticed.
DOI:10.11684/j.issn.1000-310X.2004.03.004
中文关键词: 裂纹  薄圆扳  振动基频
英文关键词: Crack  Thin circular plate  Fundamental vibration frequency
基金项目:长安大学科技发展基金(02Q20)
作者单位
石焕文 长安大学理学院
西安 710064
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 
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