文章摘要
谢宗伟,谭大鹏,王彤,李霖,殷梓超,吴佳峰.正交各向异性圆柱壳裂纹形态求解及其自由振动特性[J].高技术通讯(中文),2023,33(10):1100~1112
正交各向异性圆柱壳裂纹形态求解及其自由振动特性
Solution of crack morphology and free vibration characteristics of orthotropic cylindrical shell
  
DOI:10. 3772/ j. issn. 1002-0470. 2023. 10. 010
中文关键词: 正交各向异性圆柱壳; 裂纹形态; 自由振动; 线弹簧模型; 波传播方法
英文关键词: orthotropic cylindrical shell, crack morphology, free vibration, line spring model, wave propagation approach
基金项目:
作者单位
谢宗伟 (浙江工业大学机械工程学院杭州 310014) 
谭大鹏  
王彤  
李霖  
殷梓超  
吴佳峰  
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中文摘要:
      含裂纹正交各向异性圆柱壳自由振动响应及其裂纹形态求解是一个复杂的结构动力学问题。针对此问题,提出一种基于线弹簧模型和波传播方法的含斜裂纹正交各向异性圆柱壳的裂纹形态求解方法。基于Kirchhoff-Love壳体理论,建立含斜裂纹的正交各向异性圆柱壳力学模型,得到经典边界条件下的正交各向异性圆柱壳的自由振动响应特性。利用线弹簧模型计算裂纹区域的局部柔度,构造了不同裂纹形态的附加应力关系。结合波传播方法,获得含斜裂纹的正交各向异性圆柱壳的自由振动响应特性,进而得到一种基于固有频率的裂纹形态识别方法。研究结果表明,裂纹的存在会导致圆柱壳局部柔度的降低和固有频率的下降,且裂纹的尺寸越大、深度越深,固有频率的下降程度越大;随着裂纹角度的增大,固有频率的下降程度先增大后减小;通过不同裂纹形态产生的固有频率变化规律,可以对裂纹形态进行识别,得到裂纹的几何空间分布。研究结果可为正交各向异性薄壳裂纹形态求解和振动响应求解方面的研究提供有益参考,也可为圆柱壳结构的裂纹损伤识别方面提供理论支持。
英文摘要:
      The solution of free vibration response and crack morphology of orthotropic cylindrical shell with crack is a complex structural dynamics problem. Aiming at this problem, based on line-spring model and wave propagation approach, a crack morphology solution method of orthotropic cylindrical shell with oblique crack is proposed. Based on Kirchhoff-Love shell theory, the mechanical model of orthotropic cylindrical shell with oblique crack is established, and the free vibration response characteristics of orthotropic cylindrical shell under classical boundary conditions are obtained. The local flexibility of the crack region is calculated by using the line-spring model, and the additional stress relations of different crack morphology are constructed. Combined with the wave propagation approach, the free vibration response characteristics of orthotropic cylindrical shells with oblique cracks are obtained, and then a crack morphology solution method based on natural frequency is obtained. The results show that the existence of crack will lead to the decrease of local flexibility and natural frequency of cylindrical shell, and the larger the size and depth of crack, the greater the decrease of natural frequency; with the increase of crack angle, the decrease degree of natural frequency first increases and then decreases; through the natural frequency variation law of different crack structures, different crack forms can be detected and identified, and the geometric spatial distribution of cracks can be obtained. The results can provide a useful reference for the study of crack morphology and vibration response of orthotropic thin shells, and also provide theoretical support for crack damage identification of cylindrical shells.
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