贯穿裂纹管局部柔度系数的理论与试验研究  

Local flexibility of a pipe with a through circumferential crack

作　　者：胡家顺[1,2] 孙文勇 牛蕴 冯新[2] 周晶[2] 

机构地区：[1]中国石油集团安全环保技术研究院安全技术研究所,北京100083 [2]大连理工大学海岸和近海工程国家重点试验室,辽宁大连116024

出　　处：《振动与冲击》2010年第11期199-203,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(50439010);863计划专题课题(2008AA09Z308)

摘　　要：根据线性断裂力学理论和应变能释放原理,推导了考虑裂纹张开状态的圆周贯穿裂纹管的附加局部柔度方程,利用自适应的Simpson数值积分方法计算裂纹引起的局部柔度系数,并根据得到的局部柔度系数,建立了以扭转弹簧模拟裂纹行为的裂纹管模型。进行了裂纹管的动力模型试验,通过裂纹管模型固有频率的试验值与理论值对比分析验证局部柔度系数的正确性。研究结果表明:裂纹管固有频率的试验值与使用"弹簧铰"裂纹管模型求得的理论值基本吻合,验证了贯穿裂纹管局部柔度系数的合理性。The local flexibility equations of a pipe with a through circumferential crack were derived based on the linear fracture mechanics and the strain energy release principle.An adaptive Simpson quadrature-revisted was used to perform the numerical integration to obtain the local flexibility coefficients.And then,the crack model of the pipe simulated with a torsional spring was established based on the proposed local flexibility.Moreover,the dynamic test of the through circumferential cracked pipe was used to validate the proposed local flexibility by comparing the theoretical results of the natural frequencies of the model to experimental ones.The study results demonstrateed that the theoretical natural frequencies of the cracked pipe obtained by means of the proposed local flexibility are in good agreement with the dynamic test ones,which verifies the reasonableness of the proposed local flexibility.

关 键 词：断裂力学 振动分析 局部柔度 裂纹 管 

分 类 号：O346[理学—固体力学] TV32[理学—力学]