桅杆结构纤绳连接拉耳孔边裂纹扩展形状变化特性研究  

The study of propagation properties of crack at hole of cable connecting ear plate with guyed mast structure

作　　者：瞿伟廉[1] 鲁丽君[1] 李明 

机构地区：[1]武汉理工大学道路桥梁与结构工程湖北省重点实验室,湖北武汉430070 [2]淄博市规划设计研究院,山东淄博255037

出　　处：《地震工程与工程振动》2008年第6期200-205,共6页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金重点项目(50830203);国家自然科学基金面上项目(50678142)

摘　　要：本文采用两自由度的裂纹扩展模型,以桅杆结构纤绳拉耳孔边裂纹前缘最深点和表面点的裂纹扩展增长量来追踪裂纹扩展。基于最小二乘法原理对通过有限元法所获得的各种裂纹形状所对应的裂纹前缘最深点和表面点的无因次形状因子进行多项式曲线拟合,用拟合曲线上的值代替离散的无因次形状因子扩充插值数据库,采用拉格朗日插值法计算任意形状裂纹前缘最深点和表面点无因次形状因子,并计算得到确定裂纹扩展速率所需要的应力强度因子幅度。最后根据裂纹前缘最深点和表面点的裂纹扩展速率确定桅杆结构纤绳连接拉耳孔边裂纹的扩展特性。This paper adopts a two degrees of freedom propagation model. We track the propagation of crack according to the propagation increment of the depth point and the surface point on the crack front. Non-dimensional shape factors of the depth point and the surface point on crack front of all kinds of cracks are obtained with finite element method, which are fitted to a curve with the functional expression of muhinomial based on the principle of the least square method .The discrete non-dimensional shape factors are substituted by the data of simulation curve, Then we can calculate the non-dimensional shape factor of the crack with any shapes by the Lagrange interpolation method based on the data on the simulated curve. Next, we can calculate the range of stress intensity factor necessary for determining the velocity of propagation. Finally, we can determine the propagation property of the crack at hole of ear plate connecting the masts and the cables according to the propagation velocity of the depth point and the surface point.

关 键 词：孔边裂纹 应力强度因子 扩展速率 最小二乘法 扩展特性 

分 类 号：TU317.1[建筑科学—结构工程] TU375.4