功能梯度石墨烯增强复合材料拱在脉冲荷载下的动力屈曲分析

陈碧静; 黄永辉; 杨智诚; 刘爱荣

doi:10.6052/j.issn.1000-4750.2021.05.S024

功能梯度石墨烯增强复合材料拱在脉冲荷载下的动力屈曲分析

doi: 10.6052/j.issn.1000-4750.2021.05.S024

1.
广州大学风工程与工程振动研究中心，广东，广州 510006
2.
仲恺农业工程学院城乡建设学院，广东，广州 510225

基金项目: 国家自然科学基金面上项目(11972123，51878188)；高等学校学科创新引智计划(111计划D21021)

详细信息

作者简介:
陈碧静(1997−)，女，广东人，硕士生，主要从事桥梁工程研究(E-mail: 2111916076@e.gzhu.edu.cn)

杨智诚(1996−)，男，广东人，副教授，博士，主要从事桥梁工程研究(E-mail: zhicheng.yang@zhku.edu.cn)

刘爱荣(1972−)，女，山西人，教授，博士，主要从事桥梁工程研究(E-mail: liuar@gzhu.edu.cn)

通讯作者:
黄永辉(1982−)，男，湖南人，副研究员，博士，主要从事桥梁工程研究(E-mail: huangyh@gzhu.edu.cn)

中图分类号: TQ127.1+1；TB33
计量
- 文章访问数: 73
- HTML全文浏览量: 22
- PDF下载量: 15
- 被引次数: 0
出版历程
- 收稿日期: 2021-05-21
- 修回日期: 2022-03-04
- 网络出版日期: 2022-03-19
- 刊出日期: 2022-06-06

DYNAMIC BUCKLING OF FUNCTIONALLY GRADED GRAPHENE NANOPLATELETS REINFORCED COMPOSITE ARCHES UNDER PULSE LOAD

1.
Research Center for Wind Engineering and Engineering Vibration, Guangzhou University, Guangzhou, Guangdong 510006, China
2.
College of Urban and Rural Construction, Zhongkai University of Agriculture and Engineering, Guangzhou, Guangdong 510225, China

摘要

摘要: 采用有限元方法分析了矩形脉冲荷载作用下功能梯度石墨烯增强复合材料拱的动态力学响应，提出了通过参考比较拱静态屈曲路径和拱动态位移响应峰值来判断拱动力屈曲荷载和临界时间的方法。在此基础上，通过参数研究，详细分析了 GPLs 分布模式、质量分数、形状尺寸及荷载持续时间对拱动态响应的影响。结果表明：很少掺量的 GPLs 即可显著提高拱的动力屈曲荷载，X 型 GPLs 分布模式对拱动力稳定性的增强效果最好，在其他参数不变的情况下，表面积越大且厚度越薄的 GPLs 的增强效果越明显。
- 石墨烯片材 /
- 脉冲荷载 /
- 有限元方法 /
- 参数分析 /
- 动力屈曲
Abstract: By using finite element method, the dynamic response of functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) arches under radial rectangular pulse loading was analyzed. A method is proposed to obtain dynamic buckling load and critical load duration by comparing the static buckling path with the peak value of the dynamic displacement response. And then, the influence of graphene nanoplatelets (GPLs) distribution mode, of weight fraction, of geometric parameters, of geometry and dimensions, of load duration on the arch's dynamic mechanical behavior is studied through parametric analysis. It is found that: adding a small amount of GPLs as the reinforced composite can significantly improve the dynamic buckling load of the arch, and X- type GPLs distribution mode can achieve the most effective stiffness enhancement effect. With other parameters unchanged, the effect of the thinner and larger GPLs layer on the arch reinforcement of FG-GPLRC arch is more obvious.
- graphene nanoplatelets /
- pulse load /
- finite element method /
- parametric analysis /
- dynamic buckling

HTML全文

图 1 4类典型的GPLs分布模式

Figure 1. Four types of typical GPLs distribution patterns

下载: 全尺寸图片幻灯片

图 2 FG-GPLRC拱的几何形状、截面和荷载函数

Figure 2. Geometric shape, section and load function of FG-GPLRC arch

下载: 全尺寸图片幻灯片

图 3 FG-GPLRC拱的有限元模型

Figure 3. Finite element model of FG-GPLRC arch

下载: 全尺寸图片幻灯片

图 4 FG-X-GPLRC拱的静态屈曲路径

Figure 4. Static buckling path of FG-X-GPLRC arch

下载: 全尺寸图片幻灯片

图 5 FG-X-GPLRC拱的动态位移响应

Figure 5. Dynamic displacement response of FG-X-GPLRC arch

下载: 全尺寸图片幻灯片

图 6 荷载持时对FG-X-GPLRC拱动态位移响应的影响

Figure 6. Influence of load duration on dynamic displacement response of FG-X-GPLRC arch

下载: 全尺寸图片幻灯片

图 7 峰值位移与荷载持续时间的变化曲线

Figure 7. The curve of peak displacement and load duration

下载: 全尺寸图片幻灯片

图 8 脉冲荷载对FG-X-GPLRC拱动态位移响应的影响

Figure 8. Influence of impulse load on dynamic displacement response of FG-X-GPLRC arch

下载: 全尺寸图片幻灯片

图 9 峰值位移与荷载的变化曲线

Figure 9. The curve of peak displacement and load

下载: 全尺寸图片幻灯片

图 10 不同荷载持续时间下动力屈曲临界荷载与静力屈曲临界荷载比较

Figure 10. Comparison of dynamic buckling critical load and static buckling critical load under different load durations

下载: 全尺寸图片幻灯片

图 11 不同W_GPL对拱临界屈曲荷载的影响

Figure 11. Influence of different WGPL on critical buckling load of arch

下载: 全尺寸图片幻灯片

图 12 W_GPL对拱临界屈曲荷载的影响

Figure 12. Influence of W_GPL on critical buckling load of arch

下载: 全尺寸图片幻灯片

图 13 GPLs几何形状对拱临界屈曲荷载的影响

Figure 13. Influence of GPLs geometry on critical buckling load of arch

下载: 全尺寸图片幻灯片

表 1 拱的无量纲动力屈曲临界荷载结果比较

Table 1. Comparison of dimensionless dynamic buckling critical load results of arches

分布模式	W_GPL/(%)	动力屈曲临界荷载
分布模式	W_GPL/(%)	本文	文献[13]
U-GPLRC	0.1	0.3823	0.3812
	0.3	0.5760	0.5744
	0.5	0.7698	0.7676
X-GPLRC	0.1	0.4235	0.4232
	0.3	0.6979	0.6992
	0.5	0.9709	0.9748
O-GPLRC	0.1	0.3403	0.3384
	0.3	0.4479	0.4444
	0.5	0.5547	0.5499
Pure epoxy	0.0	0.2855	0.2846

下载: 导出CSV

参考文献(15)

[1]	王伟斌, 杨文秀, 滕兆春. 多孔功能梯度材料Timoshenko梁的自由振动分析[J]. 计算力学学报, 2021, 38(5): 586 − 594. doi: 10.7511/jslx20200311001 Wang Weibin, Yang Wenxiu, Teng Zhaochun. Free vibration analysis of porous functionally graded Timoshenko beams [J]. Chinese Journal of Computational Mechanics, 2021, 38(5): 586 − 594. (in Chinese) doi: 10.7511/jslx20200311001
[2]	顾佳佳, 沈璐璐, 刘兴喜, 杨博. 石墨烯增强功能梯度多孔板条的弯曲响应[J]. 浙江理工大学学报(自然科学版), 2021, 45(4): 551 − 558. Gu Jiajia, Shen Lulu, Liu Xingxi, Yang Bo. Graphene enhances the bending response of functionally graded porous slats [J]. Journal of Zhejiang Sci-Tech University (Natural Sciences Edition), 2021, 45(4): 551 − 558. (in Chinese)
[3]	周凤玺, 李世荣. 功能梯度材料矩形板的三维瞬态热弹性分析[J]. 工程力学, 2009, 26(8): 59 − 64. Zhou Fengxi, Li Shirong. Three-dimensional analysis for transient hermal responses of functionally graded rectangular plate [J]. Engineering Mechanics, 2009, 26(8): 59 − 64. (in Chinese)
[4]	许杨健, 李现敏, 文献民. 不同变形状态下变物性梯度功能材料板瞬态热应力[J]. 工程力学, 2006, 23(3): 49 − 55, 9. doi: 10.3969/j.issn.1000-4750.2006.03.010 Xu Yangjian, Li Xianmin, Wen Xianmin. Transient thermal stresses of functionally gradient material plate with temperaturedependent material properties under different deformation states [J]. Engineering Mechanics, 2006, 23(3): 49 − 55, 9. (in Chinese) doi: 10.3969/j.issn.1000-4750.2006.03.010
[5]	Lee C, Wei X, Kysar J W, Hone J. Measurement of the elastic properties and intrinsic strength of monolayer graphene [J]. Science, 2008, 321(5887): 385 − 388. doi: 10.1126/science.1157996
[6]	Yang Z, Huang Y, Liu A, et al. Nonlinear in-plane buckling of fixed shallow functionally graded graphene reinforced composite arches subjected to mechanical and thermal loading [J]. Applied Mathematical Modelling, 2019, 70(6): 315 − 327.
[7]	Zhao Y, Liu Y, Shi T, et al. Study of mechanical properties and early-stage deformation properties of graphene-modified cement-based materials [J]. Construction and Building Materials, 2020, 257: 119498. doi: 10.1016/j.conbuildmat.2020.119498
[8]	Mirzaei M, Kiani Y. Isogeometric thermal buckling analysis of temperature dependent FG graphene reinforced laminated plates using NURBS formulation [J]. Composite Structures, 2017, 180: 606 − 616. doi: 10.1016/j.compstruct.2017.08.057
[9]	Mallon N J, Fey R H B, Nijmeijer H, Zhang G Q. Dynamic buckling of a shallow arch under shock loading considering the effects of the arch shape [J]. International Journal of Non-linear Mechanics, 2006, 41: 1057 − 1067. doi: 10.1016/j.ijnonlinmec.2006.10.017
[10]	窦超, 郭彦林. 圆弧拱平面外弹性弯扭屈曲临界荷载分析[J]. 工程力学, 2012, 29(3): 83 − 89, 94. Dou Chao, Guo Yanlin. Critical load analysis of elastic flexural and torsional buckling of circular arch outside plane [J]. Engineering Mechanics, 2012, 29(3): 83 − 89, 94. (in Chinese)
[11]	Pi Y, Bradford M A, Tin-Loi F. Non-linear in-plane buckling of rotationally restrained shallow arches under a central concentrated load [J]. International Journal of Non-linear Mechanics, 2008, 43: 1 − 17. doi: 10.1016/j.ijnonlinmec.2007.03.013
[12]	Pi Y, Bradford M A. Multiple unstable equilibrium branches and non-linear dynamic buckling of shallow arches [J]. International Journal Non-linear Mechanics, 2014, 60: 33 − 45. doi: 10.1016/j.ijnonlinmec.2013.12.005
[13]	Yang Z, Liu A, Yang J, et al. Dynamic buckling of functionally graded graphene nanoplatelets reinforced composite shallow arches under a step central point load [J]. Journal of Sound and Vibration, 2020, 465: 115019. doi: 10.1016/j.jsv.2019.115019
[14]	Yang Z, Zhao S, Yang J, et al. In-plane and out-of-plane free vibrations of functionally graded composite arches with graphene reinforcements [J]. Mechanics of Advanced Materials and Structures, 2020, 28(19): 2046 − 2056.
[15]	Affdl J C H, Kardos J L. The Halpin‐Tsai equations: A review [J]. Polymer Engineering and Science, 1976, 16: 344 − 352. doi: 10.1002/pen.760160512