裂纹参数和筋条布局对共振九宫板动态应力强度因子的影响

doi:10.7527/S1000-6893.2017.21423

Abstract

Abstract: The fatigue crack generated during vibration would affect the fracture in structures. The 3×3 grid stiffened panel with the center crack was modeled using the finite element method. The modal recombination method was applied to rapidly compute the values of the Stress Intensity Factor (SIF) of crack tip in the panel at resonance. The influence of crack parameters (inclined angle and crack length) and the stiffener layout on SIF values was analyzed. The result shows that the maximum SIF values of the structures for Mode Ⅰ, Mode Ⅱ and Mode Ⅲ showed different trends as the inclined angle of the crack increased (monotonically increase, no significant change, and increase first and then decrease). The maximum SIF values and crack mode were affected by the crack length. For the panels with the same crack parameters, different distribution of the stiffener results in different vibration shape, and thus causes different types of cracks. In particular, effect of the crack inclined angle on the SIF amplitude and crack mode can be ignored when the center region of the panel is square.

Key words: resonance, 3×, 3 grid stiffened panel, center crack, mode stress intensity factor, dynamic stress intensity factor, crack length, inclined angle

CLC Number:

LIU Shuangyan, LI Yulong, XUE Pu, SHI Xiaopeng. Effect of crack parameters and stiffener layout on dynamic stress intensity factor of 3×3 grid stiffened panel at resonance[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(1): 221423-221423.

References

[1] 姚起杭, 姚军. 工程结构的振动疲劳问题[J]. 应用力学学报, 2006, 23(1):12-15. YAO Q H, YAO J. Vibration fatigue in engineering structures[J]. Chinese Journal of Applied Mechanics, 2006, 23(1):12-15(in Chinese).[2] PAIRS P C, GOMEZ M P, ANDERSON M E. A rational analytical theory of fatigue[J]. Trends in Enginneering, 1961, 13:9-14.[3] 张浩宇, 何宇廷, 冯宇, 等. 先进复合材料薄壁加筋板轴压屈曲特性及后屈曲承载性能[J]. 航空材料学报, 2016, 36(4):55-63. ZHANG H Y, HE Y T, FENG Y, et al. Buckling and post-buckling performance of advanced composite stiffened panel under compression[J]. Journal of Aeronacutical Materials, 2016, 36(4):55-63(in Chinese).[4] 王燕, 李书, 许秋怡, 等. 复合材料加筋板剪切后屈曲分析与优化设计[J]. 航空学报, 2016, 37(5):1512-1525. WANG Y, LI S, XU Q Y, et al. Optimization design and analysis of stiffened composite panels in post-buckling under shear[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(5):1512-1525(in Chinese).[5] KUMAR Y V S, PAIK J K. Buckling analysis of cracked plates using hierarchical trigonometric functions[J]. Thin-Walled Structures, 2004, 42(5):687-700.[6] LEI Z, BAI R, TAO W, et al. Optical measurement on dynamic buckling behavior of stiffened composite panels under in-plane shear[J]. Optics and Lasers in Engineering, 2016, 87:111-119.[7] MOUHAT O, ABDELLATIF K. Dynamic buckling of stiffened panels[J]. Procedia Engineering, 2015, 125:1001-1007.[8] 王博, 田阔, 郑岩冰, 等. 超大直径网格加筋筒壳快速屈曲分析方法[J]. 航空学报, 2017, 38(2):220379. WANG B, TIAN K, ZHENG Y B, et al. A rapid buckling analysis method for large-scale grid-stiffened cylindrical shells[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(2):220379(in Chinese).[9] PAIK J K, SATISH KUMAR Y V, LEE J M. Ultimate strength of cracked plate elements under axial compression or tension[J]. Thin-Walled Structures, 2005, 43(2):237-272.[10] CUI C, YANG P, LI C, et al. Ultimate strength characteristics of cracked stiffened plates subjected to uniaxial compression[J]. Thin-Walled Structures, 2017, 113:27-38.[11] SHI X H, ZHANG J, GUEDES SOARES C. Experimental study on collapse of cracked stiffened plate with initial imperfections under compression[J]. Thin-Walled Structures, 2017, 114:39-51.[12] 陈安, 魏玉龙, 廖江海, 等. 机身加筋壁板复合加载损伤容限性能试验[J]. 航空学报, 2017, 38(1):420093. CHEN A, WEI Y L, LIAO J H, et al. Damage tolerance test of stiffened fuselage panel under complex load[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(1):420093(in Chinese).[13] 刘双燕, 李玉龙, 邓琼, 等. 基于ESO法的九宫板阻尼结构的优化设计方法[J]. 振动与冲击, 2016, 35(22):197-203. LIU S Y, LI Y L, DENG Q, et al. Topological optimization design of 3×3 grid stiffened panel with additional damping layers based on evolutionary structural optimization[J]. Journal of Vibration and Shock, 2016, 35(22):197-203(in Chinese).[14] 中国航空研究院. 应力强度因子手册[M]. 北京:科学出版社, 1981:1-30. Chinese Aeronacutical Establishment. Stress intensity factor handbook[M]. Beijing:Science Press, 1981:1-30(in Chinese).[15] 程靳, 赵树山. 断裂力学[M]. 北京:科学出版社, 2014:57-82. CHENG J, ZHAO S S. Fracture mechanics[M]. Beijing:Science Press, 2014:57-82(in Chinese).[16] DOYLE J F, RIZZI S A. Frequency domain stress intensity calibration of damped cracked panels[J]. International Journal of Fracture, 1993, 61(2):123-130.[17] GALENNE E, ANDRIEUX S, RATIER L. A modal approach to linear fracture mechanics for dynamic loading at low frequency[J]. Journal of Sound and Vibration, 2007, 299(1-2):283-297.[18] ALBUQUERQUE C, CASTRO P, CALCADA R. Efficient crack analysis of dynamically loaded structures using a modal superposition of stress intensity factors[J]. Engineering Fracture Mechanics, 2012, 93:75-91.[19] TRAN V X, GENIAUT S, GALENNE E, et al. A modal analysis for computation of stress intensity factors under dynamic loading conditions at low frequency using eXtended finite element method[J]. Engineering Fracture Mechanics, 2013, 98:122-136.[20] 邱吉宝, 向树红, 张正平. 计算结构动力学[M]. 合肥:中国科学技术大学出版社, 2009:181-182. QIU J B, XIANG S H, ZHANG Z P. Computational structural dynamics[M]. Hefei:University of Science and Technology of China Press, 2009:181-182(in Chinese).[21] HAN Q, WANG Y, YIN Y, et al. Determination of stress intensity factor for mode I fatigue crack based on finite element analysis[J]. Engineering Fracture Mechanics, 2015, 138:118-126.[22] 姜伟, 杨平, 董琴. 平板穿透裂纹尖端动态应力强度因子研究[J]. 武汉理工大学学报(交通科学与工程版), 2016, 40(5):820-825. JIANG W, YANG P, DONG Q. Research on dynamic stress intensity factors for through-cracked plates[J]. Journal of Wuhan University of Technology (Transportation Science & Engineering),2016, 40(5):820-825(in Chinese).[23] ZHU W X, SMITH D J. On the use of displacement extrapolation to obtain crack tip singular stresses and stress intensity factors[J]. Engineering Fracture Mechanics, 1995, 51(3):391-400.[24] GUINEA G V, PLANAS J, ELICES M. K_I evaluation by the displacement extrapolation technique[J]. Engineering Fracture Mechanics, 2000, 66(3):243-255.[25] QIAN G, GONZÁLEZ-ALBUIXECH V F, NIFFENEGGER M, et al. Comparison of K_I calculation methods[J]. Engineering Fracture Mechanics, 2016, 156:52-67.[26] 戴德沛. 阻尼减振降噪技术[M]. 西安:西安交通大学出版社, 1986:16. DAI D P. Damping technology in vibration and noise reduction[M]. Xi'an:Xi'an Jiaotong University Press, 1986:16(in Chinese).

Effect of crack parameters and stiffener layout on dynamic stress intensity factor of 3×3 grid stiffened panel at resonance

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	CHEN Yi, HOU Lei, LIN Rongzhou, YANG Yang, CHEN Yushu. Analysis of primary resonance characteristics of dual-rotor system in maneuvering flight environment [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 224841-224841.
[2]	WANG Luofeng, CHEN Renliang. Rigid-elastic coupled flight dynamic modeling and air resonance stability analysis for heavy lift helicopter [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(12): 124634-124634.
[3]	LI Yaohua, GONG Ziyu. Safety analysis of civil aircraft system based on improved FRAM [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(12): 324083-324083.
[4]	HONG Zhiliang, ZHAO Guochang, YANG Mingsui, SUN Xiaofeng. Development of flow-induced acoustic resonance in aeroengine compressors [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(11): 23139-023139.
[5]	WEN Zhuoqun, WANG Pengfei, ZHANG Yan, JIANG Yanfen. Vibration reduction technology of mechanical metamaterials presented to large scale structures [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(S1): 721651-721651.
[6]	HU Guocai, WU Jing, LIU Xiangyi, LIU Shuyan. Dynamic behaviors of helicopter rotor in vertical landing [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(6): 221355-221355.
[7]	LIU Yuliang, WU Shu'nan, ZHANG Kaiming, WU Zhigang. Resonance in the orbital motion of solar power station due to gravitational orbit-attitude coupling [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(12): 222194-222194.
[8]	WU Jing, HU Guocai, LIU Quan, LIU Xiangyi. Optimal design for landing gear stiffness and damping based on helicopter ground resonance requirements [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(12): 222027-222027.
[9]	ZHANG Baolei, SHANGGUAN Yanqin, WANG Xian, CHEN Gang, LI Yueming. Experimental investigation on shear vortex of jet in cross-flow at low Reynolds number [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(7): 120831-120831.
[10]	LIU Xiyue, ZHANG Jingzhou, LI Gangtuan, KANG Yong. Model experiment on pressure drop and thermal recovery efficiency of tandem double-U-shaped-tube heat exchangers [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(3): 120302-120302.
[11]	ZHANG Wenfan, ZHANG Jiazhong, CAO Shengli. Suppression of aeroelastic instability of 2-D wing by nonlinear energy sinks [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(11): 3249-3262.
[12]	HU Guocai, LIU Xiangyi, LIU Shuyan, WANG Yunliang. Physical mechanism investigation of coaxial helicopter ground resonance [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(6): 1848-1857.
[13]	LIAO Hongbo, FAN Dapeng, FAN Shixun. Dynamics modeling and frequency characteristic of anti-backlash gear servo system [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(3): 987-994.
[14]	LIU Xiyue, ZHANG Jingzhou, LI Gangtuan, KANG Yong. Flow and heat transfer performance of double U-shaped-tubes modeled heat exchanger [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(12): 3832-3842.
[15]	MA Yu'e, HU Haiwei, XIONG Xiaofeng. Comparison of Damage in FMLs, Aluminium and Composite Panels Subjected to Low-velocity Impact [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(7): 1902-1911.