基于虚拟材料的螺栓联接复合板固有特性建模

doi:10.12068/j.issn.1005-3026.2020.10.009

东北大学学报:自然科学版 ›› 2020, Vol. 41 ›› Issue (10): 1421-1426.DOI: 10.12068/j.issn.1005-3026.2020.10.009

基于虚拟材料的螺栓联接复合板固有特性建模

孙伟，方自文，刘晓峰

(东北大学机械工程与自动化学院，辽宁沈阳110819)

收稿日期:2019-10-09 修回日期:2019-10-09 出版日期:2020-10-15 发布日期:2020-10-20
通讯作者: 孙伟
作者简介:孙伟(1975-)，男，辽宁营口人，东北大学教授，博士生导师.
基金资助:
中央高校基本科研业务费专项资金资助项目(N170308028).

Analytical Modeling of Inherent Characteristics of Bolted Joint Composite Plates Based on Virtual Materials

SUN Wei， FANG Zi-wen， LIU Xiao-feng

School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.

Received:2019-10-09 Revised:2019-10-09 Online:2020-10-15 Published:2020-10-20
Contact: SUN Wei
About author:-
Supported by:
-

摘要/Abstract

摘要： 为了提高含螺栓复合材料结构的动力学分析效率，基于虚拟材料模型建立了相应的解析模型，并求解结构的固有特性.对螺栓联接复合材料板结构进行能量分析，采用拉格朗日方程创建了螺栓联接板的动力学分析模型，求解了该结构的固有频率和模态振型.利用基于分解的多目标进化算法(MOEA/D)确定模型中虚拟材料的参数，以达到模型修正的目的.以螺栓联接TC500碳纤维/树脂板为对象进行了实例研究，结果表明:应用该虚拟材料模型可再现螺栓联接复合板结构的振动特性；在经过模型修正后，仿真计算获得的前6阶固有频率与实测值的最大偏差为2.83%，证明了所提建模方法的合理性.

关键词: 虚拟材料, 螺栓联接, 复合板, 固有特性, 解析建模

Abstract: To improve the efficiency of dynamic analysis of the composite material structure with bolts， a corresponding analytical model was established on the basis of the virtual material model， and the inherent characteristics of the structure were solved. An energy analysis of the bolted joint composite plate structure was carried out， a dynamic analysis model of bolted joint composite plates was established by using Lagrange’s equation， and the natural frequencies and modal shapes of the structure were solved. The decomposition-based multi-objective evolutionary algorithm (MOEA/D) was used to determine the parameters of the virtual materials in the model to achieve the purpose of model modification. A case study was conducted on bolted TC500 carbon fiber/resin plates. The results showed that the application of this virtual material model can reproduce the vibration characteristics of bolted composite plate structures. After the model correction， the maximum deviation of the first 6 natural frequencies obtained from the simulation calculation and the measured value is 2.83%， which proves the rationality of the proposed modeling method.

Key words: virtual material, bolted joint, composite plate, inherent characteristics, analytical modeling

中图分类号:

TH131.3
O327

孙伟，方自文，刘晓峰. 基于虚拟材料的螺栓联接复合板固有特性建模[J]. 东北大学学报:自然科学版, 2020, 41(10): 1421-1426.

SUN Wei， FANG Zi-wen， LIU Xiao-feng. Analytical Modeling of Inherent Characteristics of Bolted Joint Composite Plates Based on Virtual Materials[J]. Journal of Northeastern University Natural Science, 2020, 41(10): 1421-1426.

参考文献

[1]刘新东.复合材料力学基础［M］.西安: 西北工业大学出版社，2010.(Liu Xin-dong.Composite materials mechanics［M］.Xi’an:Northwestern Polytechnics University Press，2010.)
[2]李晖，吴怀帅，薛鹏程，等.纤维增强悬臂复合薄板固有特性分析与验证［J］.东北大学学报:自然科学版，2017，38(12):1731-1736.(Li Hui， Wu Huai-shuai， Xue Peng-cheng，et al.Analysis and verification of natural characteristics of fiber-reinforced thin cantilever plate［J］.Journal of Northeastern University (Natural Science)，2017，38(12):1731-1736.)
[3]ten B M，Karakuzu R.Progressive failure analysis of pin-loaded carbon-epoxy woven composite plates［J］.Composites Science and Technology，2002，62(9):1259-1271.
[4]Zhang Z，Xiao Y，Liu Y Q，et al.A quantitative investigation on vibration durability of viscoelastic relaxation in bolted composite joints［J］.Journal of Composite Materials，2016，50(29):4041-4056.
[5]Hart-Smith L J.Bolted joint analyses for composite structures—current empirical methods and future scientific prospects［J］.Joining and Repair of Composite Structures，2004，14(55):127-160.
[6]Zhang Z，Xiao Y，Xie Y，et al.Effects of contact between rough surfaces on the dynamic responses of bolted composite joints:multiscale modeling and numerical simulation［J］.Composite Structures，2019，211:13-23.
[7]郝秉磊，殷小玮，刘小瀛，等.C/SiC陶瓷基复合材料螺栓联接件的振动响应特性及防松性能［J］.复合材料学报，2014，31(3):653-660.(Hao Bing-lei，Yin Xiao-wei，Liu Xiao-ying，et al.Vibration response characteristics and looseness-proof performances of C/SiC ceramic matrix composite bolted fastenings［J］.Acta Materiae Compositae Sinica，2014，31(3):653-660.)
[8]Abdus S，Cheng X，Cheng Y，et al.Dynamic properties of single and multi-bolted composite joints at different bolt-loads and elevated temperature［J］.Australian Journal of Mechanical Engineering，2019，19(1):1-8.
[9]Olmedo A，Santiuste C，Barbero E.An analytical model for the secondary bending prediction in single-lap composite bolted-joints［J］.Composite Structures，2014，111(1):354-361.
[10]Xiang J，Zhao S，Li D，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.
[11]Ehrlich C，Schmidt A，Gaul L.Reduced thin-layer elements for modeling the nonlinear transfer behavior of bolted joints of automotive engine structures［J］.Archive of Applied Mechanics，2016，86(1/2):59-64.
[12]Yao X，Wang J，Zhai X.Research and application of improved thin-layer element method of aero-engine bolted joints［J］.Proceedings of the Institution of Mechanical Engineers，Part G:Journal of Aerospace Engineering，2017，231(5):823-839.
[13]Zhang Q，Li H.MOEA/D:a multiobjective evolutionary algorithm based on decomposition［J］.IEEE Transactions on Evolutionary Computation，2007，11(6):712-731.
[15]关守平，房少纯.一种新型的区间-粒子群优化算法［J］.东北大学学报(自然科学版)，2012，33(10):1381-1384.(Guan Shou-ping，Fang Shao-chun.A new interval particle swarm optimization algorithm［J］.Journal of Northeastern University(Natural Science)，2012，33(10):1381-1384.)

[1]	马辉，于明月，高昂，赵晨光. 基于非线性虚拟材料栓接结合部动力学建模方法[J]. 东北大学学报（自然科学版）, 2021, 42(8): 1111-1119.
[2]	姜世杰，孙明宇，董天阔，陈丕峰. 熔丝加工成型薄板的动力学特性及响应[J]. 东北大学学报:自然科学版, 2020, 41(5): 673-678.
[3]	宋大凤，高福旺，曾小华，于福康. 混合动力汽车传动系统扭振建模与分析[J]. 东北大学学报:自然科学版, 2020, 41(5): 679-685.
[4]	马辉，付强，李坤，樊富友. 考虑螺栓连接的吊挂式薄壁柱壳固有特性分析[J]. 东北大学学报:自然科学版, 2020, 41(5): 686-692.
[5]	李玉奇，罗忠，栗江，侯小捷. 含螺栓联接的转子系统轴向刚度不确定性分析[J]. 东北大学学报:自然科学版, 2019, 40(5): 700-705.
[6]	李播博，袁惠群，王光定，孙红运. 基于子结构模态综合法的重型牵引车优化设计[J]. 东北大学学报:自然科学版, 2019, 40(4): 531-537.
[7]	高峰，孙伟，倪陈兵. 大小叶盘-硬涂层阻尼结构的解析建模和振动分析[J]. 东北大学学报:自然科学版, 2019, 40(2): 244-250.
[8]	罗忠，张永强，朱云鹏，李朝帅. 薄壁圆锥壳畸变相似模型设计及几何区间确定方法[J]. 东北大学学报:自然科学版, 2019, 40(11): 1600-1605.
[9]	许卓，李晖，薛鹏程，闻邦椿. 悬臂纤维金属复合薄板固有特性分析及验证[J]. 东北大学学报:自然科学版, 2018, 39(12): 1737-1742.
[10]	孙伟，刘小舟，王茁，朱明伟. 硬涂层悬臂层合板固有特性的解析分析[J]. 东北大学学报:自然科学版, 2017, 38(8): 1123-1127.
[11]	李晖，吴怀帅，薛鹏程，闻邦椿. 纤维增强悬臂复合薄板固有特性分析与验证[J]. 东北大学学报:自然科学版, 2017, 38(12): 1731-1736.
[12]	凌静秀，孙伟，霍军周，邓立营. TBM刀盘系统多自由度耦合固有特性及敏感度[J]. 东北大学学报:自然科学版, 2015, 36(4): 546-550.
[13]	罗忠，陈广凯，李建章，王菲. 考虑轴承刚度的转子系统动力学相似模型设计[J]. 东北大学学报:自然科学版, 2015, 36(3): 402-405.
[14]	孙丽娜;李沈;花纯利;刘颖;. 柴油机曲轴连杆组合结构动态特性分析[J]. 东北大学学报(自然科学版), 2012, 33(12): 1762-1765.
[15]	祖国胤;李小兵;丁明明;于九明;. 异步轧制铜/铝双金属复合板变形行为的研究[J]. 东北大学学报(自然科学版), 2011, 32(5): 675-678.

基于虚拟材料的螺栓联接复合板固有特性建模

Analytical Modeling of Inherent Characteristics of Bolted Joint Composite Plates Based on Virtual Materials

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价