Semi-Analytical Method for Accurate Evaluation of Axial Stiffness of Bolted Member

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Semi-Analytical Method for Accurate Evaluation of Axial Stiffness of Bolted Member

更新时间：2025-07-09

- Semi-Analytical Method for Accurate Evaluation of Axial Stiffness of Bolted Member
- Vol. 46, Issue 9, Pages: 37-42(2012)
- 作者机构：
  
  1. 湖南科技大学机械工程学院,湖南,湘潭,411201
  2. 西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH123
- Online First：10 September 2012，
  
  Published：2012
- 稿件说明：
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Semi-Analytical Method for Accurate Evaluation of Axial Stiffness of Bolted Member[J]. 2012, 46(9): 37-42.
DOI：

Semi-Analytical Method for Accurate Evaluation of Axial Stiffness of Bolted Member[J]. 2012, 46(9): 37-42. DOI：

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.

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.

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references

ZHU Zhenqi, ZHANG Bi. The bulging of bolted guideways [J]. ASME J Mech Des, 1996, 118(6): 280-285.

WILEMAN J, CHOUDHURY M, GREEN I. Computation of member stiffness in bolted connections [J]. ASME J Mech Des, 1991, 113(2): 432-437.

杨国庆,王飞,洪军,等. 螺栓被连接件刚度理论计算方法研究 [J]. 西安交通大学学报, 2012, 46(7): 50-56.

YANG Guoqing, WANG Fei, HONG Jun, et al. Theoretical analysis method for bolted member stiffness [J]. Journal of Xi'an Jiaotong University, 2012, 46(7): 50-56.

NASSAR S A, ABBOUD A. An improved stiffness model for bolted joints [J]. ASME J Mech Des, 2009, 131(12): 1-10.

MUSTO J C, KONKLE N R. Computation of member stiffness in the design of bolted joints [J]. J Mech Design, 2006, 128(6): 1357-1360.

PEDERSEN N L, PEDERSEN P. On prestress stiffness analysis of bolt-plate contact assemblies [J]. Arch Appl Mech, 2008, 78(2): 75-88.

SETHURAMAN R, KUMAR T S. Finite element based member stiffness evaluation of axisymmetric bolted joints [J]. ASME J Mech Des, 2009, 131(1): 1-11.

YANG Guoqing, HONG Jun, WANG Ning, et al. Member stiffnesses and interface contact characteristics of bolted joints [C]∥IEEE ISAM. Piscataway, NJ, USA: IEEE, 2011: 1-6.

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