含半椭圆形裂纹轴的刚度特性研究  

The stiffness characteristics of a shaft with semi-elliptical edge crack

作　　者：周玲玲 金志浩[2] 孙一茜 耿海洋 Zhou Lingling;Jin Zhihao;Sun Yiqian;Geng Haiyang(Intelligent Engineering College,Harbin Institute of Petroleum,Heilongjiang Harbin,150028,China;Mechanical and Power Engineering College,Shenyang University of Chemical Technology,Liaoning Shenyang,110142,China)

机构地区：[1]哈尔滨石油学院智能工程学院,黑龙江哈尔滨150028 [2]沈阳化工大学机械与动力工程学院,辽宁沈阳110142

出　　处：《机械设计与制造工程》2024年第4期99-102,共4页Machine Design and Manufacturing Engineering

基　　金：2022年度哈尔滨石油学院科学研究基金(HIPJJ202201)。

摘　　要：运用断裂力学理论,推导了含半椭圆形裂纹轴的刚度计算公式,研究了在全开的静态下半椭圆形前缘直裂纹和45°斜裂纹深度比、裂纹变形比等参数对轴刚度的影响。计算结果表明:裂纹深度的增大使半椭圆形前缘裂纹轴的刚度变化幅度较大,当裂纹深度较小时,刚度变化缓慢;但当裂纹深度大于轴半径一半时,裂纹轴全部载荷作用的影响都要考虑;随着裂纹变形比增大,半椭圆形前缘裂纹的刚度均减小;半椭圆形前缘裂纹垂直方向的位移随裂纹变形比增大而增大。计算结果与实验共同验证了半椭圆形前缘裂纹轴的动力特性。Based on fracture mechanics,the calculation formula of shaft stiffness with semi-elliptical fronted edge crack is derived.In the fully opened static state of the crack,the influence of the deformation ratio and crack depth ratio of the semi-elliptical straight and 45° oblique crack on the stiffness of the shaft are discussed.The calculation results show that the stiffness of the semi-elliptical fronted edge crack is increased with the increase of crack depth,and when the crack depth is shallow,the stiffness changes slowly,especially when the crack is bigger than half of the shaft radius,the influence of full loads should be considered.The stiffness of the semi-elliptical fronted edge crack decreases with the increase of the crack deformation ratio.The experimental results show that the vertical displacement of the semi-elliptical fronted edge crack increases with the crack deformation ratio increasing.The calculated results and experiments are verified the semi-elliptical fronted edge rotor's dynamic performance.

关 键 词：转子 半椭圆形直裂纹 半椭圆形斜裂纹 刚度 应变能密度函数 

分 类 号：TH133[机械工程—机械制造及自动化]