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- 2018
含分层损伤复合材料层压板低速冲击模型刚度计算方法
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Abstract:
针对基于弹簧质量模型的层压板低速冲击模拟方法,研究产生分层损伤后层压板整体刚度的计算方法。首先将板分为中心含分层的圆形区域与四周未分层环形区域。根据薄板弯曲理论,利用边界条件及两区域交界处的转角协调条件得到两个区域的挠度,进而计算刚度。基于ABAQUS软件建立了含损伤层压板的有限元模型进行该计算方法的验证,结果表明,该方法的计算结果与有限元模型结果吻合较好。进行了层压板落重冲击试验,根据无损检测得到的分层信息利用本方法进行了弯曲刚度的折减,再利用弹簧-质量模型模拟有损伤产生过程的冲击接触力,模拟结果和实验与有限元结果吻合良好,证明所提出的层压板低速冲击弹簧-质量模型分层刚度折减算法是有效的。 A mathematical model for stiffness reduction of circular composite laminate with delaminations after low velocity impact based on spring-mass model was presented. Plate was divided into a delaminated portion of central disk and an undamaged portion of annulus plate. Bending theory and classical lamination theory were used to obtain the displacement of the plate to compute the stiffness. A FE model for laminate with delaminations on ABAQUS was established to validate the analytical model. Drop weight impact test was conducted and C-scan results was used to calculate the stiffness. The reduction result was used in spring-mass model predicting the contact force history. Comparisons of FE simulation and experiment test results show good agreement of the stiffness reduction and the prediction of contact force history. This analytical method can be applied to low velocity impact analysis with delamination damage. 国家自然科学基金(11372192)
[1] | SHIVAKUMAR K N, ELER W, ILLG W. Prediction of impact force and duration due to low-velocity impact on circular composite laminates[J]. Journal of Applied Mechanics, 1985, 52(3):674-680. |
[2] | 巴塔西, 于哲峰, 汪海. 基于弯曲刚度最大分层临界载荷的层压板局部屈曲预测[J]. 复合材料学报, 2013, 30(4):198-205. BA Taxi, YU Zhefeng, WANG Hai. Local buckling prediction for laminate with delamination based on critical buckling load of the sub-laminate with the maximum flexural stiffness[J]. Acta Materiae Compositae Sinica, 2013, 30(4):198-205(in Chinese). |
[3] | 史治宇, 丁锡洪. 飞行器结构力学[M]. 北京:国防工业出版社, 2013:44-45. SHI Zhiyu, DING Xihong. Aircraft structural mechanics[M]. Beijing:National Defend Industry Press, 2013:44-45(in Chinese). |
[4] | 丁锡洪. 结构力学[M]. 北京:航空工业出版社, 1991:58-60. DING Xihong. Structural mechanics[M]. Beijing:Aviation Industry Press, 1991:58-60(in Chinese). |
[5] | DAVIES GAO, ZHANG X. Impact damage prediction in carbon composite structures[J]. International Journal of Impact Engineering, 1995, 16(1):149-170. |
[6] | SUEMASU H, MAJIMA O. Multiple delaminations and their severity in circular axisymmetric plates subjected to transverse loading[J]. Journal of Composite Materials, 1996, 30(4):441-453. |
[7] | SUEMASU H, MAJIMA O. Multiple delaminations and their severity in nonlinear circular[J]. Journal of Composite Materials, 1998, 32(2):123-140. |
[8] | ATSM. Standard test method for measuring the damage resistance of a fiber reinforced polymer matrix composite to a drop weight impact event:ASTM D7136/D7136M-12[S]. West Con-sholocken:ASTM, 2012. |
[9] | ABRATE S. Modeling of impacts on composite structures[J]. Composite Structures, 2001, 51(2):129-138. |
[10] | ROBIN OLSSON. Analytical prediction of large mass impact damage in composite laminates[J]. Composites Part A:Applied Science & Manufacturing, 2001, 32(9):1207-1215. |
[11] | 李诗哲, 陈艳, 伊鹏跃, 等. 复合材料翼盒壁板低速冲击接触力、凹坑特性及其模拟[J]. 复合材料学报, 2016, 33(1):204-212. LI Shizhe, CHEN Yan, YI Pengyue, et al. Contact force and indentation characteristics due to low velocity impact of composite wing-box panel and their simulations[J]. Acta Materiae Compositae Sinica, 2016, 33(1):204-212(in Chinese). |
[12] | YU Zhefeng, YI Pengyue, WANG Hai. Low-velocity impact test of a composite wing box and analytical prediction of contact indentation[C]. 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Boston, Massachusetts, AIAA 2013-1620. |
[13] | 伊鹏跃, 于哲峰, 汪海. 复合材料层压板低速冲击刚度退化仿真方案研究[J]. 力学季刊, 2012, 33(3):469-475. YI Pengyue, YU Zhefeng, WANG Hai. Stiffness degradation methodology for low-velocity impact simulation in composite laminate[J]. Chinese Quarterly of Mechanics, 2012, 33(3):469-475(in Chinese). |
[14] | 李念, 陈普会. 复合材料层合板低速冲击损伤分析的连续介质损伤力学模型[J]. 力学学报, 2015, 47(3):458-470. LI Nian, CHEN Puhui. Continuum damage mechanics model for low-velocity impact damage analyses of composite laminates[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(3):458-470(in Chinese). |
[15] | 陈普会, 李念. 复合材料层合板低速冲击损伤的预测模型[J]. 南京航空航天大学学报, 2014, 46(3):341-348. CHEN Puhui, LI Nian. Damage prediction model for composite laminates subjected to low velocity impact[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2014, 46(3):341-348(in Chinese). |
[16] | WEN W D, CUI H P, XU Y. Research on impact damage of T300/BMP-316 composite laminates[J]. Journal of Aerospace Power, 2007, 22(5):749-754. |
[17] | YU Zhefeng, FANG Jicheng, CHEN Yan, et al. Damage resistance of a co-cured composite wing box to lwo-velocity impact[J]. Composite Structures, 2017, 176:516-525. |
[18] | 宁宝军, 于哲峰, 叶文勋, 等. 基于非接触位移测量的层压板低速冲击性能分析[J]. 复合材料学报, 2006, 33(7):1567-1573. NING Baojun, YU Zhefeng, YE Wenxun, et al. Damage resistance analysis of composite laminates subjected to low velocity impact based on non-contact measurement displacement[J]. Acta Materiae Compositae Sinica, 2016, 33(7):1567-1573(in Chinese). |
[19] | SINGH H, MAHAJAN P. Analytical modeling of low velocity large mass impact on composite plate including damage evolution[J]. Composite Structures, 2016, 149:79-92. |
[20] | 田宏伟, 梁宪珠, 薛向晨. CCF300/BA9916-2复合材料抗低能量撞击的性能研究[J]. 航空制造技术, 2014(15):74-77. TIAN Hongwei, LIANG Xianzhu, XUE Xiangchen. Response of laminated composite plates of CCF300/BA9916-2 under low-velocity impact loading[J]. Aeronautical Manufacturing Technology, 2014(15):74-77(in Chinese). |