复合材料连接结构的钉载均匀化快速寻优方法

doi:10.7527/S1000-6893.2024.30345

Abstract

Abstract:

A parameter optimization method for bolt-hole clearance based on the concept of optimal curve is proposed to achieve a fast optimization search for the uniformity of nail load of any double-lap composite joint structure. The optimal Latin hypercube algorithm and NLPQL algorithm are combined for the bolt-hole clearance， and a combined optimization strategy is used to achieve the uniformity of the bolt load of the composite joints. We further propose the concept of optimal curve based on the distribution of the optimal bolt-hole clearance， according to which a fast optimization search is conducted to achieve uniformity of the nail load in the double-lap composite joint structure. Then， various joint structures are designed to study the effects of fastening torque， number of bolts and structural parameters on the optimal curve， and the applicability of the optimal curve is verified by numerical simulation. The study shows that the optimal curve can be utilized to maximize the uniform distribution of bolt load in the composite joints. For the six-row bolt composite joints， the load-carrying capacity can be increased by over 15%.

Key words: double-lap, composite joints, nail load homogenization, bolt-hole clearance, combined optimization strategies, FEM, NLPQL algorithm

CLC Number:

V214.8

Wei LI, Xin SONG, Xiangqi LIN, Zhilin SU, Chengbo WANG, Tong LI. Fast optimization method for nail load homogenization of composite joint structures[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(23): 230345.

Figures/Tables 33

Fig.1

Table 1

Monolayer mechanical properties of T800 grade composites［22-23］

参数	数值	参数	数值
$E 1 / G P a$	157	$X T / M P a$	2 630
$E 2 / G P a$	8.5	$X C / M P a$	1 480
$μ 12$	0.35	$Y T / M P a$	62
$G 12 / G P a$	4.2	$Y C / M P a$	213
$G 13 / G P a$	4.2	$S 12 / M P a$	109
$G 23 / G P a$	2.7	$S 23 / M P a$	86

Table 1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Table 2

Fig.7

Table 3

Fig. 8

Table 4

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Table 5

Table 6

Fig.15

Fig.16

Fig.17

Fig.18

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Fig.20

Table 7

Fig. 21

Fig.22

Table 8

Table 9

Fig.23

Fig.24

References 34

1	MOHAMED Y S， ABDELBARY A. Theoretical and experimental study on the influence of fiber orientation on the tensile properties of unidirectional carbon fiber/epoxy composite［J］. Alexandria Engineering Journal， 2023， 67： 693-705.
2	KHASHABA U A. Impact of standard and unexpected bolt-hole-washer tolerances on the performance of pinned and torqued joints in CFRP composites［J］. Alexandria Engineering Journal， 2023， 81： 290-303.
3	黄豪杰. 复合材料多钉连接载荷分配均匀化方法［D］. 西安：西北工业大学， 2007.
	HUANG H J. Method for homogenize load distribution of composite multi-nail connection［D］.Xi’an： Northwestern Polytechnical University， 2007 （in Chinese）.
4	中国航空研究院. 复合材料连接手册［M］. 北京：航空工业出版社， 1994.
	Chinese Aeronautical Establishment. Handbook of composite connection［M］. Beijing： Aviation Industry Press， 1994 （in Chinese）.
5	XIANG J W， ZHAO S W， LI D C， et al. An improved spring method for calculating the load distribution in multi-bolt composite joints［J］. Composites Part B： Engineering， 2017， 117： 1-8.
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（2）： 287-298.
7	QIU C， HAN Y Z， SHANMUGAM L， et al. An even-load-distribution design for composite bolted joints using a novel circuit model and neural network［J］. Composite Structures， 2022， 279： 114709.
8	SINTHUSIRI C， NASSAR S A. Load distributions in bolted single lap joints under non-central tensile shear loading［J］. Journal of Advanced Joining Processes， 2021， 3： 100055.
9	BELARDI V G， FANELLI P， VIVIO F. Analysis of multi-bolt composite joints with a user-defined finite element for the evaluation of load distribution and secondary bending［J］. Composites Part B： Engineering， 2021， 227： 109378.
10	ZHAO L B， FANG Z A， LIU F R， et al. A modified stiffness method considering effects of hole tensile deformation on bolt load distribution in multi-bolt composite joints［J］. Composites Part B： Engineering， 2019， 171： 264-271.
11	LIU F R， LU X H， ZHAO L B， et al. An interpretation of the load distributions in highly torqued single-lap composite bolted joints with bolt-hole clearances［J］. Composites Part B： Engineering， 2018， 138： 194-205.
12	TONG L Y. Bearing failure of composite bolted joints with non-uniform bolt-to-washer clearance［J］. Composites Part A： Applied Science and Manufacturing， 2000， 31（6）： 609-615.
13	LAWLOR V P， MCCARTHY M A， STANLEY W F. An experimental study of bolt-hole clearance effects in double-lap， multi-bolt composite joints［J］. Composite Structures， 2005， 71（2）： 176-190.
14	HU J S， ZHANG K F， CHENG H， et al. An experimental investigation on interfacial behavior and preload response of composite bolted interference-fit joints under assembly and thermal conditions［J］. Aerospace Science and Technology， 2020， 103： 105917.
15	KHASHABA U A， SEBAEY T A， SELMY A I. Experimental verification of a progressive damage model for composite pinned-joints with different clearances［J］. International Journal of Mechanical Sciences， 2019， 152： 481-491.
16	FAN W X， QIU C T. Load distribution of multi-fastener laminated composite joints［J］. International Journal of Solids and Structures， 1993， 30（21）： 3013-3023.
17	MCCARTHY M A， MCCARTHY C T. Finite element analysis of effects of clearance on single shear composite bolted joints［J］. Plastics， Rubber and Composites， 2003， 32（2）： 65-70.
18	YUN J H， CHOI J H， KWEON J H. A study on the strength improvement of the multi-bolted joint［J］. Composite Structures， 2014， 108： 409-416.
19	谢宗蕻，李想，郭家平，等. 考虑间隙配合的复合材料钉载分配均匀化方法［J］. 复合材料学报， 2016， 33（4）： 806-813.
	XIE Z H， LI X， GUO J P， et al. Load distribution homogenization method of multi-bolt composite joint with consideration of bolt-hole clearance［J］. Acta Materiae Compositae Sinica， 2016， 33（4）： 806-813 （in Chinese）.
20	李鹏，周晚林，李蓓，等. 考虑间隙和拧紧力矩的复合材料钉载分配均匀化方法［J］. 航空学报， 2019， 40（3）： 285-296.
	LI P， ZHOU W L， LI B， et al. Pin-load distribution homogenization method of adjusting bolt-hole clearance and bolt torqued in multi-bolt composite joints［J］. Acta Aeronautica et Astronautica Sinica， 2019， 40（3）： 285-296 （in Chinese）.
21	李想，谢宗蕻. 复合材料多钉连接钉载分配均匀化的泰勒展开方法［J］. 哈尔滨工业大学学报， 2019， 51（11）： 108-115.
	LI X， XIE Z H. A Taylor Expansion algorithm for the load distribution homogenization of multi-bolt composite joints［J］. Journal of Harbin Institute of Technology， 2019， 51（11）： 108-115 （in Chinese）.
22	MUHAMMAD I， CHRISTINE E， FREDERIC L， et al. Simulation of dynamic delamination and mode I energy dissipation［C］. Salzburg： 2009.
23	许良，涂宜鸣，崔浩，等. T800碳纤维复合材料低速冲击渐进损伤仿真与试验研究［J］. 大连理工大学学报， 2021， 61（6）： 608-614.
	XU L， TU Y M， CUI H， et al. Simulation and experimental research on progressive damage of T800 carbon fiber composites under low velocity impact［J］. Journal of Dalian University of Technology， 2021， 61（6）： 608-614 （in Chinese）.
24	季宁，张卫星，于洋洋. 基于代理模型和NLPQL算法的注塑成型质量控制与预测［J］. 塑料工业， 2021， 49（4）： 87-92， 80.
	JI N， ZHANG W X， YU Y Y. Quality control and prediction of injection molding based on surrogate model and NLPQL algorithm［J］. China Plastics Industry， 2021， 49（4）： 87-92， 80 （in Chinese）.
25	MORRIS M D， MITCHELL T J. Exploratory designs for computational experiments［J］. Journal of Statistical Planning and Inference， 1995， 43（3）： 381-402.
26	ASTM. Standard test method for bearing response of polymer matrix composite laminates：［S］. West Conshohocken： American Society for Testing and Materials， 2010.
27	谢鸣九. 复合材料连接技术［M］. 上海：上海交通大学出版社， 2016： 202-203.
	XIE M J. Joints for composites materials［M］. Shanghai： Shanghai Jiao Tong University Press， 2016： 202-203 （in Chinese）.
28	OLMEDO Á， SANTIUSTE C. On the prediction of bolted single-lap composite joints［J］. Composite Structures， 2012， 94（6）： 2110-2117.
29	STEWART W C. Metals engineering design［M］.New York： ASME， 1965.
30	ZHOU Y H， YAZDANI-NEZHAD H， MCCARTHY M A， et al. A study of intra-laminar damage in double-lap， multi-bolt， composite joints with variable clearance using continuum damage mechanics［J］. Composite Structures， 2014， 116： 441-452.
31	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（10-11）： 1415-1431.
32	KHASHABA U A， SEBAEY T A， ALNEFAIE K A. Failure and reliability analysis of pinned-joint composite laminates： Effects of pinhole clearance［J］. Journal of Composite Materials， 2013， 47（18）： 2287-2298.
33	HERRINGTON P D， SABBAGHIAN M. Effect of radial clearance between bolt and washer on the bearing strength of composite bolted joints［J］. Journal of Composite Materials， 1992， 26（12）： 1826-1843.
34	DINICOLA A J， FANTLE S C. Bearing strength behavior of clearance-fit fastener holes in toughened graphite/epoxy laminates［J］. ASTM Special Technical Publication， 1993， 1206： 220.

参数/个	迭代步	优化时间/min
6	203	875
1	18	96

试验件编号	D/mm	b/mm	a/mm	铺层方式
YZ-1	6	5	8	1
YZ-2	6	3.5	3	2
YZ-3	8	4.5	7	3
YZ-4	8	5.5	9	4

铺层方式	厚度/mm	铺层角度/（°）
1	8	［45，-45，0，-45，0，45，0，45，-45，0，-45，45，90，45，90，0］_2S
2	3	［45，-45，0，-45，0，45，0，-45，90，45，90，0］_S
3	7	［45，-45，0，-45，45，90，0］_3S
4	9	［45，-45，0，-45，45，0，90，45，0］_3S

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Fast optimization method for nail load homogenization of composite joint structures

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