基于载荷共享理论的多传力路径耳片可靠性研究

doi:10.7527/S1000-6893.2023.28528

Abstract

Abstract:

The inspection period of aircraft structure needs to ensure that the structure has certain reliability during service. Due to the related failure of each layer lug in multiple load path lug structure， the traditional reliability analysis method of parallel system is no longer applicable to the reliability analysis of this structure. To solve this problem， a reliability modeling method for multiple load path lug structure based on load-sharing parallel systems is proposed. Firstly， based on the basic theory of load-sharing parallel system and lug design rules， the load-sharing principle and life equivalent principle of multiple load path lug structure are determined. On this basis， the conditional probability and full probability formulas are used to establish reliability model of any three-force-transmission lug structure， and they are applied to the verification of the structure inspection period. Finally， the application of the Al-Ti-Al composite connection lug structure is analyzed， which verified the applicability and effectiveness of the method. The results show that， compared with traditional reliability models of parallel system and reliability analysis methods based on lognormal distribution model， the proposed method can well reflect the related failures among lug structures， and is more consistent with the failure characteristics of multiple load path lug structures. Therefore， this paper provides a new method for reliability analysis， which can be used to check and optimize the inspection period.

Key words: lug structure, multiple load path, fail-safe, parallel system, load-sharing, reliability

CLC Number:

V267

Yunwen FENG, Jiaqiang TANG, Chenghui FENG, Xianmin CHEN, Xiaofeng XUE. Reliability study of multiple load path lug based on load⁃sharing theory[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(20): 228528.

Figures/Tables 15

Fig.1

Fig.2

Fig.3

Table 1

Table 2

Distribution parameter

时间区间	分布参数
时间区间	耳片2	耳片3
$0, T 1$	$μ 2, σ 22$	$μ 3, σ 32$
$T 1, T$	$μ 2', σ' 22$	$μ 3', σ' 32$
$T 2, T$		$μ 3 ″, σ ″ 32$

Table 2

Fig.4

Table 3

Fig.5

Fig.6

Table 4

Table 5

Fig.7

Fig.8

Fig.9

Table 6

References 40

1	冯蕴雯，张家乐，薛小锋，等. 铝钛复合耳片结构设计及可靠性分析［J］. 西北工业大学学报， 2021， 39（1）： 1-8.
	FENG Y W， ZHANG J L， XUE X F， et al. Structure design and reliability analysis of Al-Ti lugs［J］. Journal of Northwestern Polytechnical University， 2021， 39（1）： 1-8 （in Chinese）.
2	袁坚锋，董萌，陈炎. 破损安全设计在民用飞机襟翼运动机构中的应用［J］. 民用飞机设计与研究， 2021（4）： 53-59.
	YUAN J F， DONG M， CHEN Y. Application of fail-safe design in flap mechanism of civil aircraft［J］. Civil Aircraft Design & Research， 2021（4）： 53-59 （in Chinese）.
3	袁锴，曾照洋，周扬，等. 民用飞机结构件维修间隔计算方法研究［J］. 飞机设计， 2016， 36（3）： 34-38， 42.
	YUAN K， ZENG Z Y， ZHOU Y， et al. Research on calculation methods of maintenance intervals for civil aircraft structural components［J］. Aircraft Design， 2016， 36（3）： 34-38， 42 （in Chinese）.
4	RYCHLIK T， SPIZZICHINO F. Load-sharing reliability models with different component sensitivities to other components’ working states［J］. Advances in Applied Probability， 2021， 53（1）： 107-132.
5	LI Y， COOLEN F P A， ZHU C C， et al. Reliability assessment of the hydraulic system of wind turbines based on load-sharing using survival signature［J］. Renewable Energy， 2020， 153： 766-776.
6	DANIELS H E. The statistical theory of the strength of bundles of threads. I［J］. Proceedings of the Royal Society of London， Series A， Mathematical and Physical Sciences， 1945， 183（995）： 405-435.
7	ROSEN B. Tensile failure of fibrous composites［C］∥ Aerospace Sciences Meeting. Reston， Virginia： AIAA， 1964： 73.
8	LEVITIN G. Incorporating common-cause failures into nonrepairable multistate series-parallel system analysis［J］. IEEE Transactions on Reliability， 2001， 50（4）： 380-388.
9	XIE L Y. A knowledge-based multi-dimension discrete common cause failure model［J］. Nuclear Engineering and Design， 1998， 183（1-2）： 107-116.
10	张立业，郭学东，董丽娟. 载荷共享过程的桥梁系统首次失效平均时间［J］. 吉林大学学报（工学版）， 2013， 43（5）： 1247-1252.
	ZHANG L Y， GUO X D， DONG L J. Bridge system mean time to failure with load-sharing process［J］. Journal of Jilin University （Engineering and Technology Edition）， 2013， 43（5）： 1247-1252 （in Chinese）.
11	ROY S， GOSWAMI S. Fiber bundle model under heterogeneous loading［J］. Journal of Statistical Physics， 2018， 170（6）： 1197-1214.
12	BROWN B， LIU B， MCINTYRE S， et al. Reliability analysis of load-sharing systems with spatial dependence and proximity effects［J］. Reliability Engineering & System Safety， 2022， 221： 108284.
13	BEDBUR S， KAMPS U. Testing for equality of parameters from different load-sharing systems［J］. Stats， 2019， 2（1）： 70-88.
14	TAGHIPOUR S， KASSAEI M L. Periodic inspection optimization of a k-out-of-n load-sharing system［J］. IEEE Transactions on Reliability， 2015， 64（3）： 1116-1127.
15	FRANCO M， VIVO J M， KUNDU D. A generalized Freund bivariate model for a two-component load sharing system［J］. Reliability Engineering & System Safety， 2020， 203： 107096.
16	YUN W Y， CHA J H. A stochastic model for a general load-sharing system under overload condition［J］. Applied Stochastic Models in Business and Industry， 2010， 26（5）： 624-638.
17	李丹青，熊文洁，张正成. Kumaraswamy分布下负载共享并联系统的参数估计［J］. 安徽师范大学学报（自然科学版）， 2020，43（4）： 307-314.
	LI D Q， XIONG W J， ZHANG Z C. Estimation of parameters for load-sharing parallel systems under Kumaraswamy distribution［J］. Journal of Anhui Normal University （Natural Science）， 2020， 43 （4）： 307-314 （in Chinese）.
18	李丹青. 负载共享并联系统的参数估计［D］. 兰州：兰州交通大学，2020.
	LI D Q. Parameter estimation of load sharing parallel system［D］. Lanzhou： Lanzhou Jiaotong University， 2020 （in Chinese）.
19	李丹青. 负载共享并联系统可靠性的参数估计［J］. 兰州文理学院学报（自然科学版）， 2020， 34（1）： 26-31.
	LI D Q. Parameter estimation of reliability of load sharing parallel system［J］. Journal of Lanzhou University of Arts and Science （Natural Sciences Edition）， 2020， 34（1）： 26-31 （in Chinese）.
20	伍洋. 负载共享并联系统的一些随机性质［D］. 兰州：兰州交通大学，2019.
	WU Y. Some random properties of load sharing parallel system［D］. Lanzhou： Lanzhou Jiaotong University， 2019 （in Chinese）.
21	郝广波，谢里阳，李莉，等. 载荷共享并联系统疲劳累积损伤可靠性模型［J］. 东北大学学报（自然科学版）， 2009， 30（2）： 262-265， 278.
	HAO G B， XIE L Y， LI L， et al. Reliability model of cumulative fatigue damage of load sharing parallel system［J］. Journal of Northeastern University （Natural Science）， 2009， 30（2）： 262-265， 278 （in Chinese）.
22	郝广波. 管道、钢缆类系统可靠性建模若干关键问题的研究［D］.沈阳：东北大学，2008：63-78.
	HAO G B. Study on the reliability modeling of sysstem like pipeline and wire cable［D］. Shenyang：Northeastern University，2008：63-78 （in Chinese）.
23	赵志草，宋保维，赵晓哲，等. 单元寿命服从任意分布的共载并联系统可靠性［J］. 华中科技大学学报（自然科学版）， 2014， 42（4）： 6-10.
	ZHAO Z C， SONG B W， ZHAO X Z， et al. Reliability of load-sharing parallel system with components following arbitrary life distributions［J］. Journal of Huazhong University of Science and Technology （Natural Science Edition）， 2014， 42（4）： 6-10 （in Chinese）.
24	赵志草. 共载冗余系统可靠性分析与优化设计［D］. 西安：西北工业大学， 2015.
	ZHAO Z C. Reliability analysis and optimization design of load⁃sharing redundant system［D］. Xi’an： Northwestern Polytechnical University， 2015 （in Chinese）.
25	AHMADI R. Reliability and maintenance modeling for a load-sharing k-out-of-n system subject to hidden failures［J］. Computers & Industrial Engineering， 2020， 150： 106894.
26	SUN Q Z， YE Z S， REVIE M， et al. Reliability modeling of infrastructure load-sharing systems with workload adjustment［J］. IEEE Transactions on Reliability， 2019， 68（4）： 1283-1295.
27	KIJIMA M. Some results for repairable systems with general repair［J］. Journal of Applied Probability， 1989， 26（1）： 89-102.
28	FINKELSTEIN M S. Mortality in varying environment［C］∥ Probability，Statistics and Modelling in Public Health. Boston， MA： Springer，2006.
29	沈培良. 破损安全结构在损伤容限设计原则下的应用［J］. 科学技术与工程， 2012， 12（31）： 8339-8343.
	SHEN P L. Fail safe structure application under damage tolerance design rule［J］. Science Technology and Engineering， 2012， 12（31）： 8339-8343 （in Chinese）.
30	O’CONNOR P D T. Practical reliability engineering［M］. 3rd ed. New York： John Wiley， 1995.
31	《飞机设计手册》总编委会. 飞机设计手册（第9册）：载荷、强度和刚度［M］. 北京：航空工业出版社， 2001：653-663.
	General Editorial Board of Aircraft Design Manual. Aircraft design manual （volume 9）： load， strength and stiffness ［M］. Beijing： Aviation Industry Press，2002：653-663 （in Chinese）.
32	李令芳.民机结构耐久性与损伤容限设计手册（下册）［M］.北京：航空工业出版社，2003：260-270.
	LI F L. Durability and damage tolerance design manual of civil aircraft structure （volume II）［M］. Beijing： Aviation Industry Press，2003： 260-270 （in Chinese）.
33	张侃，廖江海. 基于修正的均方根法的民机载荷谱简化方法研究［C］∥ 第23届全国结构工程学术会议论文集（第Ⅱ册）.兰州，2014：502-506.
	ZHANG L， LIAO J M. Study on Simplification method of civil aircraft load spectrum based on modified root mean square method［C］∥ Proceedings of the 23rd National Academic Conference on Structural Engineering （Volume II）. Lanzhou， 2014：502-506 （in Chinese）.
34	董雷霆，周轩，赵福斌，等．飞机结构数字孪生关键建模仿真技术［J］. 航空学报， 2021， 42（3）：023981.
	DONG L T， ZHOU X， ZHAO F B，et al.Key technologies for modeling and simulation of airframe digital twin［J］.Acta Aeronautica et Astronautica Sinica，2021，42（3）：023981 （in Chinese）.
35	黄玮，冯蕴雯，吕震宙. 极小子样试验的虚拟增广样本评估方法［J］. 西北工业大学学报， 2005， 23（3）： 384-387.
	HUANG W， FENG Y W， LYU Z Z. Virtually expanded sample estimation method for extremely small-scale sample test［J］. Journal of Northwestern Polytechnical University， 2005， 23（3）： 384-387 （in Chinese）.
36	EFRON B， TIBSHI RANI R J. An introduction to the bootstrap［M］. London：Chapman and Hall， 1993.
37	刘文珽. 结构可靠性设计手册［M］. 北京：国防工业出版社， 2008.
	LIU W T. Handbook of structural reliability design［M］. Beijing： National Defense Industry Press， 2008 （in Chinese）.
38	LIU F C， WEI P F， ZHOU C C， et al. Reliability and reliability sensitivity analysis of structure by combining adaptive linked importance sampling and Kriging reliability method［J］. Chinese Journal of Aeronautics， 2020， 33（4）： 1218-1227.
39	陶鹤，刘伟，付晶园. 对数正态分布可靠性模型及应用［J］. 统计与决策， 2019， 35（3）： 89-92.
	TAO H， LIU W， FU J Y. Reliability model of lognormal distribution and its application［J］. Statistics and Decision， 2019， 35（3）： 89-92 （in Chinese）.
40	冯蕴雯，张家乐，薛小锋，等. 民用飞机铰链运动机构维修间隔制定研究［J］. 航空工程进展， 2021， 12（5）： 96-101.
	FENG Y W， ZHANG J L， XUE X F， et al. Research on maintenance interval development of hinge mechanism of civil aircraft［J］. Advances in Aeronautical Science and Engineering， 2021， 12（5）： 96-101 （in Chinese）.

序号	失效层数	失效顺序			是否失效
序号	失效层数	1	2	3	是否失效
1	0				否
2	1	耳片1			否
3		耳片2			否
4		耳片3			否
5	2	耳片1	耳片2		否
6		耳片1	耳片3		否
7		耳片2	耳片1		否
8		耳片2	耳片3		否
9		耳片3	耳片1		否
10		耳片3	耳片2		否
11	3	耳片1	耳片2	耳片3	是
12		耳片1	耳片3	耳片2	是
13		耳片2	耳片1	耳片3	是
14		耳片2	耳片3	耳片1	是
15		耳片3	耳片1	耳片2	是
16		耳片3	耳片2	耳片1	是

序号	第1层铝耳片寿命	第2层铝耳片寿命	钛耳片寿命
1	115 448	126 591	173 048
2	84 785	111 544	142 385
3	152 788	167 578	210 388
4	210 715	233 485	268 315

失效层数	失效情况	对数正态分布参数
失效层数	失效情况	耳片类型	均值	标准差
0		铝耳片	11.968	0.168
0		钛耳片	13.399	0.194
1	任意一层铝耳片失效	铝耳片	10.962	0.169
	任意一层铝耳片失效	钛耳片	12.363	0.195
	钛耳片失效	铝耳片	9.543	0.169
2	2层铝耳片均失效	钛耳片	10.903	0.194
2	任意一层铝耳片和1层钛耳片失效	铝耳片	7.118	0.168

[1]	Yunwen FENG, Da TENG, Cheng LU, Rui WANG, Junyu CHEN. Integrated mechanism and generative adversarial surrogate modeling for aircraft systems reliability evaluation [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(7): 230948-230948.
[2]	Wanying YUN, Fengyuan LI, Bo HUANG, Siyu WANG, Yunfei JIAO, Xinyu BAI, Xueqi HUANG. Enhanced metamodel-based importance sampling method for reliability analysis [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(7): 230738-230738.
[3]	Shenfang YUAN, Qiuhui XU, Jian CHEN. Reliability evaluation: From non-destructive testing to structural health monitoring [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(5): 531442-531442.
[4]	Rui KANG, Xiaoyang LI. Reliability science experiments [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(5): 531622-531622.
[5]	Weining MA, Qiwei HU, Xisheng JIA. Selective maintenance decision for equipment under multi-mission setting considering multiple resource constraints [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(2): 227327-227327.
[6]	Ming LI, Xin WAN, Puzheng JI. Influence of ring gear flexibility on fatigue reliability in large aerospace planetary mechanisms [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(14): 231468-231468.
[7]	Xiaochen LYU, Jingping SHI, Yongxi LYU, Gengnong LI. Flow angle reconstruction algorithm for MAGIC CARPET landing with sensor failure [J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(13): 531159-531159.
[8]	Yulian GONG, Jianguo ZHANG, Zhigang WU, Guangyuan CHU, Xiaoduo FAN, Ying HUANG. Reliability algorithm of composite structure based on active learning basis-adaptive PC-Kriging model [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(8): 228982-228982.
[9]	Fan ZHANG, Bohan CHENG, Peng WANG, Lei DONG. A two-stage degradation model and reliability analysis related to degradation of binary load-sharing systems [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(7): 229046-229046.
[10]	Xiaofeng XUE, Miaoyan ZHAO, Qianyi DU, Yunwen FENG, Junling FAN, Ting JIAO. Detection reliability based on quantification of human and environmental factors [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(6): 228859-228859.
[11]	Zhe WANG, Zhiping WANG, Kunying DING, Tao ZHANG, Yuanhang WANG. Reliability analysis of thermal barrier coatings on turbine guide vanes of a certain type of aero-engine [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(22): 430141-430141.
[12]	Fan ZHANG, Wei CONG, Runcao TIAN, Peng WANG. Heterogeneous data fusion and reliability analysis based on two-layer variable weights [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(22): 230297-230297.
[13]	Feng JIANG, Huacong LI, Jiangfeng FU, Xianwei LIU. Non-probabilistic reliability analysis with fuzzy failure and safe states [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(20): 229989-229989.
[14]	Xinqian ZHENG, Junying WANG, Weina HUANG, Yu FU, Ronghui CHENG, Hongyang XIONG. Uncertainty⁃based design system for aeroengines [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(7): 27099-027099.
[15]	Benqi SUN, Qiang YANG, Zhili SUN, Shujun LI, Hongkun MA, Ruonan WANG. A probabilistic evaluation model for configuration transformation ability of planar constrained metamorphic mechanisms [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(4): 426843-426843.

Reliability study of multiple load path lug based on load⁃sharing theory

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 15

References 40

Related Articles 15

Recommended Articles

Metrics

Comments