郑寒辉, 赵晓华. 含裂纹损伤杆系结构的动态特性研究[J]. 工程力学, 2007, 24(12): 53-058.
引用本文: 郑寒辉, 赵晓华. 含裂纹损伤杆系结构的动态特性研究[J]. 工程力学, 2007, 24(12): 53-058.
ZHENG Han-hui, ZHAO Xiao-hua. DYNAMIC BEHAVIORS OF BEAM STRUCTURES WITH CRACKS[J]. Engineering Mechanics, 2007, 24(12): 53-058.
Citation: ZHENG Han-hui, ZHAO Xiao-hua. DYNAMIC BEHAVIORS OF BEAM STRUCTURES WITH CRACKS[J]. Engineering Mechanics, 2007, 24(12): 53-058.

含裂纹损伤杆系结构的动态特性研究

DYNAMIC BEHAVIORS OF BEAM STRUCTURES WITH CRACKS

  • 摘要: 运用动刚度有限元法,研究了含裂纹损伤杆系结构的动态特性。提出了一种含裂纹的杆单元,基于断裂力学的线弹簧模型,导出了相应的动刚度矩阵。在此基础上,对含裂纹的悬臂梁和平面框架进行了数值计算,并与已有的实验值和解析解进行了比较。结果表明:损伤位置和损伤程度的不同均会导致结构动态特性发生改变,因而在结构分析中应考虑损伤的影响;而该单元能够方便地用于含裂纹损伤杆系结构的动态特性分析,并具有很好的精度。

     

    Abstract: Dynamic behaviors of beam structures with cracks are studied through the finite element method using dynamic stiffness matrix. A new beam element with a crack is proposed, and its dynamic stiffness matrix is derived by using the line-spring model in fracture mechanics. Numerical analysis is then carried out for both a cracked cantilever beam and a cracked frame structure, and the results agree well with the available experimental data, as well as those of analytical solutions. It is shown that the changes of crack location and crack length lead to the variation of both natural frequencies and mode shapes of a beam structure, and therefore should be taken into consideration in the dynamic analysis. The proposed element provides an efficient way and is well applicable for the analysis of a beam structure with multiple cracks, and good accuracy can be achieved.

     

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