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螺栓被连接件轴向刚度高精度计算的半解析方法
引用本文:杨国庆,王飞,洪军,朱林波,熊美华.螺栓被连接件轴向刚度高精度计算的半解析方法[J].西安交通大学学报,2012,46(9):37-42.
作者姓名:杨国庆  王飞  洪军  朱林波  熊美华
作者单位:1. 湖南科技大学机械工程学院,411201,湖南湘潭;西安交通大学机械制造系统工程国家重点实验室,710049,西安
2. 西安交通大学机械制造系统工程国家重点实验室,710049,西安
3. 湖南科技大学机械工程学院,411201,湖南湘潭
基金项目:国家自然科学基金资助项目(50935006)
摘    要:以圆盘形螺栓被连接件为研究对象,结合有限元分析与理论解析,提出了一种精确计算被连接件刚度的半解析方法.利用精细的有限元分析模型,分析了不同弹性模量、泊松比、总厚度、装配间隙、厚度比对被连接件刚度的影响规律,构建了同材质上、下被连接件刚度的半解析模型.同时,结合不同材质上、下被连接件的等效方法,求解出上、下被连接件的压应力半顶角,实现了不同材料组合所对应被连接件刚度的精确计算.与有限元分析结果相比,被连接件刚度的相对误差小于3%,绝对误差小于0.02 GN/m.

关 键 词:螺栓被连接件  轴向刚度  有限元分析  半顶角

Semi-Analytical Method for Accurate Evaluation of Axial Stiffness of Bolted Member
YANG Guoqing , WANG Fei , HONG Jun , ZHU Linbo , XIONG Meihua.Semi-Analytical Method for Accurate Evaluation of Axial Stiffness of Bolted Member[J].Journal of Xi'an Jiaotong University,2012,46(9):37-42.
Authors:YANG Guoqing  WANG Fei  HONG Jun  ZHU Linbo  XIONG Meihua
Institution:1(1.College of Electromechanical Engineering,Hunan University of Science and Technology,Xiangtan,Hunan 411201,China; 2.State Key Laboratory for Manufacturing Systems Engineering,Xi’an Jiaotong University,Xi’an 710049,China)
Abstract:A semi-analytical scheme combining finite element analysis(FEA) with analytical method is proposed to accurately evaluate axial stiffness of disc-shaped bolted members.An elaborated FEA model is adopted to obtain the member stiffness in each bolted joint with same material,and the influences of elastic modulus,Poisson’s rate,total member thickness and assembly clearance on the member stiffness are investigated.Then the semi-analytical model is constructed to calculate the member stiffness in each bolted joint with same material.Meanwhile,the semi-apex angle of the compressive stress distribution in each member is calculated by using the equivalent bolted joint with different materials,hence the axial member stiffness in bolted joints with different geometry and material properties is accurately formulized.Compared with the FEA results,the relative error of member stiffness by the novel scheme gets within 3% and the absolute error reaches to 0.02 GN/m.
Keywords:bolted member  axial stiffness  finite element analysis  semi-apex angle
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