Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (8): 2520-2529.doi: 10.13229/j.cnki.jdxbgxb.20231187

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Stiffness characteristics of bolt connection of composite laminates under secondary bending

Ling LI(),Zhi-wen JIANG,Dong-hao MIAO,Miao-xia XIE(),Fu-an CHENG   

  1. School of Mechanical and Electrical Engineering，Xi'an University of Architecture and Technology，Xi'an 710055，China
  • Received:2023-11-01 Online:2025-08-01 Published:2025-11-14
  • Contact: Miao-xia XIE E-mail:lee_liling@163.com;liling@xauat.edu.cn

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Abstract:

A more accurate bolt connection stiffness model is proposed for the single lap joint structure of composite laminates under secondary bending. Firstly， the bending stiffness is calculated by considering the secondary bending caused by eccentric loads. Secondly， the carbon-aluminum single lap model is established by ABAQUS finite element software and compared with the M-G model. Finally， the influence of friction coefficient， bolt hole clearance， metal plate thickness and ply sequence on the stiffness of bolted connection structure at each stage is analyzed， and the influence of contact state of connection contact surface on bolt connection structure is revealed. The results show that the increase of the friction coefficient will lead to the increase of the critical friction force in the viscous stage， but it does not affect the stiffness of the bolt connection structure. The increase of the bolt hole clearance will lead to the decrease of the contact area between the bolt hole and the screw， thus reducing the stiffness of the bolt connection structure. The metal plate thickness has a more significant effect on the stiffness of the bolt connection structure in the viscous stage and the contact stage. The 0°ply can improve the stiffness and bearing capacity of the laminate， and the 45°ply can improve the compressive strength around the hole.

Key words: composite, single lap joint, secondary bending, stiffness, contact state

CLC Number: 

  • TB332

Fig.1

Carbon-aluminum single lap bolt connection structure model"

Fig.2

Bolt-connected spring mass model"

Fig.3

Loading condition of the connecting plate"

Table 1

Material properties"

材料

弹性模量

/MPa

泊松比

密度

/（g·cm-3）

剪切模量

/MPa

合金钢21 0000.38-
铝73 1000.332.7-

CFRP

165 000（E11）0.35（v12）

1.5

5 080（G12）
9 300（E22）0.35（v13）5 080（G13）
9 300（E33）0.487（v23）3 127.1（G23）

Fig.4

Finite element model of carbon-aluminum single lap bolt connection structure"

Fig.5

Load-displacement curves of bolt connectoin structures in mathematical models and finite element models of composite laminates"

Table 2

Parameter setting"

参数摩擦因数间隙/μm厚度/mm
摩擦系数

0.6

0.3

0.15

60

6

孔间隙0.3

200

130

60

6
连接板厚度0.360

8

6

4

Fig.6

Load-displacement and contact state evolution of bolt connection structures at different stiffness stages under datum"

Fig.7

Different loads contribute to the load- displacement curves of the single lap shear bolt connection structure"

Fig.8

Load-displacement curves of single lap bolt connection structures with different friction coefficients"

Fig.9

Load-displacement curves of single lap bolt connection structure with different bolt hole clearance"

Fig.10

Contact state of the metal plate at the initial and final contact points between the bolt and the hole"

Fig.11

Load-displacement curves of single lap bolt connection structures with different metal plates thickness"

Table 3

Layup sequence scheme"

铺层

方案

层合方式

45°

比例/%

0°

比例/%

90°

比例/%

A

［45/0/-45/90/45/

0/0/-45/0/0］

405010
B

［45/0/-45/90/45/

0/-45/0/45/0］

［45/0/-45/90/45/

0/-45/0/-45/0］

504010
C

［45/0/-45/0/45/90/

-45/0/45/-45］

603010
D

［45/-45/90/45/-45/

0/-45/0/45/-45］

［45/-45/90/45/-45/

0/-45/0/45/45］

702010

Fig.12

Load-displacement curves of single lap bolt connection structures with different layup sequences"

Fig.13

Stress diagram of bolts and composite laminates at the end of loading under different layup schemes"

[1] Garg A, Chalak H D. A review on analysis of laminated composite and sandwich structures under hygrothermal conditions[J]. Thin-Walled Structures, 2019, 142: 205-226.
[2] 寇剑锋, 徐绯, 张笑宇, 等. 考虑装配间隙的双搭接螺栓连接剪切刚度的解析求解方法[J]. 复合材料学报, 2018, 35: 1510-1517.
Kou Jian-feng, Xu Fei, Zhang Xiao-yu, et al. Analytical method for solving shear stiffness of double lap bolted joint considering assembly gap[J]. Journal of Composite Materials, 2018, 35: 1510-1517.
[3] 寇剑锋, 徐绯. 螺栓连接层合板孔边挤压应力三维分布[J]. 复合材料学报, 2018, 35:3360-3367.
Kou Jian-feng, Xu Fei,et al. Three-dimensional compression stress distribution at hole edge of bolted laminates[J]. Journal of Composite Materials, 2018, 35 : 3360-3367.
[4] Chishti M, Wang C H, Thomson R S, et al. Numerical analysis of damage progression and strength of countersunk composite joints[J]. Composite Structures, 2012, 94: 643-653.
[5] Tate M B, Rosenfeld S J. Preliminary investigation of the loads carried by individual bolts in bolted joints[J]. NASA Technical Reports Server, 2013, 8: 19930081668.
[6] McCarthy C T, Gray P J. An analytical model for the prediction of load distribution in highly torqued multi-bolt composite joints[J]. Composite Structures, 2011, 93: 287-298.
[7] Liu F R, Zhang J Y, Zhao L B, et al. An analytical joint stiffness model for load transfer analysis in highly torqued multi-bolt composite joints with clearances[J]. Composite Structures, 2015, 131:625-636.
[8] Stocchi C, Robinson P, Pinho S T, et al. A detailed finite element investigation of composite bolted joints with countersunk fasteners[J]. Composites Part A: Applied Science and Manufacturing, 2013, 52:143-150.
[9] Guerrero J M, Sasikumar A, Llobet J, et al. A computationally efficient methodology to simulate hybrid bolted joints including thermal effects[J]. Mechanics of Advanced Materials and Structures, 2021, 30(1): 1-19.
[10] Liu K, Tie Y, Li C. Effects of pre-tightening force and connection mode on the strength and progressive damage of composite laminates with bolted joint[J]. Materials Physics and Mechanics, 2013, 18:18-27.
[11] Tang Y, Zhou Z, Pan S, et al. Mechanical and failure behavior of three-dimensional six-directional braided composites bolted joint[J]. Journal of Reinforced Plastics and Composites, 2017, 36(10): 739-753.
[12] Zhou Y, Nezhad H Y, Hou C, et al. A three dimensional implicit finite element damage model and its application to single-lap multi-bolt composite joints with variable clearance[J]. Composite Structures, 2015, 131:1060-1072.
[13] Gray P J, Higgins R M, Mccarthy C T. Effect of thickness and laminate taper on the stiffness,strength and secondary bending of single-lap, single-bolt countersunk composite joints[J]. Composite Structures, 2014, 107: 315-324.
[14] Mccarthy M A, Lawlor V P, Stanley W F, et al. Bolt-hole clearance effects and strength criteria in single-bolt, single-lap, composite bolted joints[J]. Composites Science and Technology, 2002, 62: 1415-1431.
[15] Mccarthy M A, Mccarthy C T, Lawlor V P, et al. Three-dimensional finite element analysis of single-bolt, single-lap composite bolted joints: part I—model development and validation[J]. Composite Structures, 2005, 71: 140-158.
[16] Mccarthy C T, Mccarthy M A, Lawlor V P, et al. Progressive damage analysis of multi-bolt composite joints with variable bolt-hole clearances[J]. Composites Part B: Engineering, 2005, 36: 290-305.
[17] Mccarthy C T, Mccarthy M A, et al. Three-dimensional finite element analysis of single-bolt, single-lap composite bolted joints: effects of bolt-hole clearance[J]. Composite Structures, 2005, 71: 159-175.
[18] Mccarthy C T, Mccarthy M A, Stanley W F, et al. Experiences with modeling friction in composite bolted joints[J]. Journal of Composite Materials, 2005, 39: 1881-1908.
[19] 黄河源, 赵美英, 万小朋, 等. 复合材料中厚板沉头连接结构强度与损伤失效[J]. 复合材料学报, 2017,34: 557-563.
Huang He-yuan, Zhao Mei-ying, Wan Xiao-peng, et al. Structural strength and damage failure of heavy plate countersunk joint of composite materials[J]. Journal of Composite Materials, 2017, 34:557-563.
[20] 李玲, 张东, 王晶晶, 等. 复合层压板单螺栓连接的刚度建模[J].复合材料学报, 2021,38:2935-2945.
Li Ling, Zhang Dong, Wang Jing-jing, et al. Stiffness modeling of single bolted composite laminates[J]. Journal of Composite Materials, 2021, 38:2935-2945.
[21] 李静雯, 张博明, 孙义亮, 等. 不同铺层方式下连续玻璃纤维/聚丙烯复合材料波纹夹芯板的力学性能[J]. 复合材料学报, 2019, 36: 1074-1082.
Li Jing-wen, Zhang Bo-ming, Sun Yi-liang, et al. Mechanical properties of continuous glass fiber/polypropylene composite corrugated sandwich panels under different layering methods[J]. Journal of Composite Materials, 2019, 36: 1074-1082.
[22] 张建国, 岳金, 宋春生, 等. 碳纤维复合材料螺旋桨铺层角度研究[J]. 武汉理工大学学报: 信息与管理工程版, 2014, 36: 207-210.
Zhang Jian-guo, Yue Jin, Song Chun-sheng, et al. Study on layup angle of carbon fiber composite propeller[J]. Journal of Wuhan University of Technology (Information and Management Engineering), 2014,36: 207-210.
[23] 何柏灵, 葛东云, 莫与明, 等. T800 碳纤维增强复合材料双剪单钉连接的拉伸试验及强度估算[J]. 复合材料学报, 2016, 33: 1540-1552.
He Bo-ling, Ge Dong-yun, Mo Yu-ming, et al. Tensile test and strength estimation of T800 carbon fiber reinforced composite with double shear and single nail[J]. Journal of Composite Materials, 2016, 33: 1540-1552.
[24] Nelson W D, Bunin B L, Hart L J.Critical joints in large composite aircraft structure[J]. NASA Technical Reports Server, 1983, 1: No.19870001540.
[25] 王天宇, 段跃新, 向经伟, 等. 铺层顺序对预成型体搭接复合材料拉伸性能影响的仿真与验证[J]. 复合材料学报, 2018, 35: 2745-2752.
Wang Tian-yu, Duan Yue-xin, Xiang Jing-wei, et al. Simulation and verification of effect of lay-up sequence on tensile properties of preformed lapped composites[J]. Journal of Composite Materials, 2018, 35: 2745-2752.
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