## 留言板

 引用本文: 陈梦成, 汤任基. 一种裂纹梁振动响应分析的近似方法[J]. 应用数学和力学, 1997, 18(3): 203-209.
Chen Mengcheng, Tang Renji. An Approximate Method of Response Analysis of Vibrations for Cracked Beams[J]. Applied Mathematics and Mechanics, 1997, 18(3): 203-209.
 Citation: Chen Mengcheng, Tang Renji. An Approximate Method of Response Analysis of Vibrations for Cracked Beams[J]. Applied Mathematics and Mechanics, 1997, 18(3): 203-209.

## An Approximate Method of Response Analysis of Vibrations for Cracked Beams

• 摘要: 本文以线弹簧模型为基础提出了一种近似分析裂纹梁振动响应的方法.把该方法同Euler-Bernoulli梁理论、模态分析方法以及断裂力学原理等结合起来运用,导出裂纹梁振动的特征方程.作为应用实例,本文考核了简支裂纹梁和悬臂裂纹梁的固有频率响应.结果表明,本文所获得的解与现有文献中的解或实验结果取得很好的一致.
•  [1] I. G. Chondros and A. D. Dimarogonas, Identification of cracks in welded joints ofcomplex structures, J. Sound & Vib., 69 (1980), 531~538. [2] 沈亚鹏、唐照千,裂纹对悬臂板频普的影响,固体力学学报,3 (1982), 247-251 [3] P. F. Rizos, N. Aspragathos and A. D. Dimarogonas, Identification of crack locationand magnitude in a cantilever beam from the vibration mode, J. Sound & Vib., 138(190), 381~388. [4] G. E. Nash, Bending deflections and moments in notched beam, Engng. Fract. Mech., 3(1971), 139~150. [5] P. Gudmundson, Eigenfrequency changes of structures due to cracks, notches or othergeometrical changes, J. Mech. Phys. Solids, 30 (1982), 339~353. [6] J. R. Rice and N. Levy, The part-through surface crack in an elastic plate, J. Appl.Mech., 39 (1972), 185~194. [7] H. Tada, P. C. Paris and G. R. Irwin, The Stress Analysis of Crack Handbook, DelResearch Corp., Hellerton. PA (1973). [8] T. M. Tharp, A finite element for edge-crack beam columns, Int. J. Numer. MethodsEngng 24 (1987), 1941~1950.

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##### 出版历程
• 收稿日期:  1995-06-20
• 刊出日期:  1997-03-15

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