吉林大学学报(工学版) ›› 2025, Vol. 55 ›› Issue (8): 2520-2529.doi: 10.13229/j.cnki.jdxbgxb.20231187

• 车辆工程·机械工程 • 上一篇    下一篇

二次弯曲作用下复合层合板螺栓连接的刚度特性

李玲(),江志文,妙东浩,解妙霞(),程福安   

  1. 西安建筑科技大学 机电工程学院,西安 710055
  • 收稿日期:2023-11-01 出版日期:2025-08-01 发布日期:2025-11-14
  • 通讯作者: 解妙霞 E-mail:lee_liling@163.com;liling@xauat.edu.cn
  • 作者简介:李玲(1981-),男,教授,博士. 研究方向:机械动力学和接触力学.E-mail:lee_liling@163.com
  • 基金资助:
    国家自然科学基金项目(51975449);陕西省重点研发计划项目(2021GY-309);陕西省秦创原“科学家+工程师”队伍建设项目(2022KXJ032)

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

摘要:

针对二次弯曲作用下的复合材料层合板单搭接连接结构,提出了一种更准确的螺栓连接刚度模型。首先,通过考虑偏心载荷产生的二次弯曲来计算弯曲刚度。其次,通过ABAQUS有限元软件建立碳-铝单搭接模型,并与M-G模型进行对比。最后,分析摩擦因数、螺栓孔间隙、金属板厚度、铺层顺序等参数对螺栓连接结构各阶段刚度的影响,揭示连接接触面接触状态对螺栓连接结构的影响规律。结果表明:摩擦因数的增大会导致粘滞阶段的临界摩擦力增大,但不影响螺栓连接结构刚度;螺栓孔间隙的增大会导致螺栓孔与螺杆之间的接触面积减小,从而降低螺栓连接结构刚度;金属板厚度对粘滞阶段和接触阶段螺栓连接结构刚度的影响更显著;0°铺层会提高层合板的刚度和承载能力,45°铺层会提升孔周围的抗挤压强度。

关键词: 复合材料, 单搭接连接, 二次弯曲, 刚度, 接触状态

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

中图分类号: 

  • TB332

图1

碳-铝单搭接螺栓连接结构模型"

图2

螺栓连接弹簧质量模型"

图3

连接板的加载条件"

表1

材料属性"

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-
73 1000.332.7-

CFRP

165 000(E110.35(v12

1.5

5 080(G12
9 300(E220.35(v135 080(G13
9 300(E330.487(v233 127.1(G23

图4

碳-铝单搭接螺栓连接结构有限元模型"

图5

复合层合板螺栓连接数学模型和有限元模型的载荷-位移曲线"

表2

参数设置"

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

图6

基准下螺栓连接结构的不同刚度阶段的载荷-位移及其接触状态演变"

图7

不同载荷贡献于单搭接剪切螺栓连接结构上的载荷-位移曲线"

图8

不同摩擦因数下单搭接螺栓连接结构的载荷-位移曲线"

图9

不同螺栓孔间隙下单搭接螺栓连接结构的载荷-位移曲线"

图10

在螺栓与孔的初始接触点和最终接触点时金属板的接触状态"

图11

不同金属板厚度下单搭接螺栓连接结构的载荷-位移曲线"

表3

铺层顺序方案"

铺层

方案

层合方式

45°

比例/%

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

图12

不同铺层顺序下单搭接螺栓连接结构的载荷-位移曲线"

图13

不同铺层方案下加载结束时螺栓和复合层合板的应力图"

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