含横向裂纹管道固有频率的变化规律研究  

Study on the Change of the Natural Frequencies of a Pipe with a Transverse Crack

作　　者：高攀[1] 张小龙[1] 何育民[1] 申鹏[1] 

机构地区：[1]西安建筑科技大学机电工程学院,西安710055

出　　处：《机械科学与技术》2015年第1期60-64,共5页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51075314);陕西省自然科学基础研究计划项目(2014JM7269)资助

摘　　要：基于应变能释放原理和线性断裂力学原理,推导了裂纹尖端方向与管道轴线方向成任意角度的横向裂纹的等效刚度的计算方程,得到了裂纹与管道固有频率的定量关系。进而研究了不同裂纹位置、深度和角度工况下结构的前3阶固有频率变化规律;通过对含裂纹管道进行实验,验证了含横向裂纹管道固有频率计算方法的有效性。Based on the strain energy release and the principle of linear fracture mechanics,the equivalent stiffness equations of a pipe with a transverse crack whose tip direction was at any angle with respect to the axis direction of pipe were derived,then the relationship between the crack parameters and the natural frequencies was obtained.Furthermore,the change trend of the first three order natural frequencies with different crack locations,depths and angles was studied. The effectiveness of the calculation method for natural frequencies of pipe with crack is proved by the experiments.

关 键 词：管道裂纹 等效刚度 固有频率 裂纹深度 裂纹角度 

分 类 号：O346.1[理学—固体力学]