预张拉CFRP布增强加筋矩形板的动力特性分析

丁驯1,周叮1,,刘朵2,张建东2

振动与冲击 ›› 2018, Vol. 37 ›› Issue (6) : 124-129.

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PDF(955 KB)
振动与冲击 ›› 2018, Vol. 37 ›› Issue (6) : 124-129.
论文

预张拉CFRP布增强加筋矩形板的动力特性分析

  • 丁驯1,周叮1, ,刘朵2,张建东2
作者信息 +

Dynamic characteristic analysis of stiffened rectangular plates with pretension CFRP sheets

  • DING Xun1, ZHOU Ding1, LIU Duo2, ZHANG Jiandong2
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文章历史 +

摘要

本文研究预张拉CFRP布增强四边简支加筋矩形板的自由振动特性。首先将CFRP布、加强筋、矩形板三部分沿界面切开分别进行分析,矩形板和加强筋分别采用薄板理论和欧拉梁理论进行分析,预张拉CFRP布采用弦理论进行分析,然后根据各界面上的应力平衡条件和位移连续性条件得到CFRP布增强加筋板的振动频率方程,计算结果显示了很好的收敛性,数值结果与有限元ANSYS的分析一致。研究表明,CFRP的加固效果随层数和预张力增加而增强。

Abstract

The free vibration characteristics of simply supported stiffened rectangular plates strengthened with pretension CFRP sheets were studied. Firstly, the plate was divided into three parts along the interfaces: CFRP layer, stiffener and rectangular plate. The stiffener and stiffened plate was, respectively, analysed by the Euler beam theory and the thin plate theory. The pretension CFRP sheet was analysed by the string theory. Then, the vibration frequency equation of the stiffened plate strengthened with pretension CFRP sheets was worked out, according to the interface stress equilibrium conditions and the displacement continuity conditions. The numerical results show an excellent convergence. The presented results are consistent with the results from the finite element software ANSYS. The analysis shows that along with the increase of the layer number and the prestress, the reinforcing effect of CFRP on the dynamic characteristics of the stiffened rectangular plate is more significant.

关键词

  / 预张拉CFRP;加筋板;自由振动;欧拉梁;薄板

Key words

 pretension CFRP / stiffened plates / free vibration / Euler beam / thin plate

引用本文

导出引用
丁驯1,周叮1,,刘朵2,张建东2. 预张拉CFRP布增强加筋矩形板的动力特性分析[J]. 振动与冲击, 2018, 37(6): 124-129
DING Xun1, ZHOU Ding1, LIU Duo2, ZHANG Jiandong2. Dynamic characteristic analysis of stiffened rectangular plates with pretension CFRP sheets[J]. Journal of Vibration and Shock, 2018, 37(6): 124-129

参考文献

[1] Shanmugam N E, Zhu Dongqi, Choo Y S. et al. Experimental studies on stiffened plates under in-plane load and lateral pressure[J]. Thin-Walled Structures, 2014, 80: 22-31.
[2] Srivastava A K L, Pandey S R, Kumar A. Dynamical analysis of stiffened plates under patch loading[J]. Applied Mechanics and Engineering, 2013, 18(Part 2): 537-554.
[3] Chaves-Vargas M, Dafnis A, Reimerdes H G, et al. Modal parameter identification of a compression-loaded CFRP stiffened plate and correlation with its buckling behavior[J]. Progress in Aerospace Sciences, 2015, 78: 39-49. 
[4] 刘世恩, 刘胜君. 加劲板的计算方法研究[J]. 工业建筑, 1998, 28(10): 30-32. 
Liu Shien, Liu Shengjun. Research on the Computer Method of Stiffened Plates[J]. Industrial Construction, 1998, 28(10): 30-32.
[5] 杜修力, 张建伟, 邓宗才. 预应力FRP加固混凝土结构技术研究与应用[J]. 工程力学,2007, 24(增刊 2): 62-74.
 Du Xiuli, Zhang Jianwei, Deng Zongcai. Technology and application of strengthening RC structure with prestressed FRP[J]. Engineering Mechanics, 2007, 24(Sup 2): 62-74.
[6] Bhaskar K, Pydah Anup. An elasticity approach for simply-supported isotropic and orthotropic stiffened plates[J]. International Journal of Mechanical Sciences, 2014, 89: 21-30.
[7] 周叮. 两对边简支另两对边复杂支承矩形板的横向振动问题[J]. 强度与环境, 1992, 3: 16-22. 
 Zhou Ding. The transverse vibrations of rectangular plates with complex supports on edges[J]. Structure & Environment Engineering, 1992, 3:16-22.
[8] 马牛静, 王荣辉, 韩强, 等. 四边简支加劲板的几何非线性自由振动及内共振[J]. 振动与冲击, 2012, 31(24): 60-64.
 Ma Niujing, Wang Ronghui, Han Qiang, et al. Geometrically nonlinear free vibration and internal resonance of a stiffened plate with four edges simply supported[J]. Journal of Vibration and Shock, 2012, 31(24): 60-64.
[9] 马牛静,王荣辉. 四边固定加劲板的非线性自由振动[J]. 力学学报, 2011, 43(5): 922-930.
Ma Niujing, Wang Ronghui. Nonlinear free vibration of stiffened plate with four edges clamped[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(5):922-930
[10] 李凯, 何书韬, 邱永康, 等. 附加多个集中质量加筋板的自由振动分析[J]. 中国舰船研究, 2015, 10(5): 66-70.
     Li Kai, He Shutao, Qiu Yongkang, et al. Free vibration analysis of rectangular stiffened plates with several lumped mass[J]. Chinese Journal of Ship Research, 2015,10(5): 66-70.
[11] 黄海燕,王德禹. 加筋板结构的自由振动分析[J]. 船舶工程, 2008, 30(6): 1-3.
     Huang Haiyan, Wang Deyu. Free vibration analysis of the stiffened plate[J]. Ship Engineering, 2008, 30(6): 1-3.
[12] 尉大业. 周期和失谐周期正交各向异性肋板结构的振动传播特性[D]. 北京: 北京交通大学, 2011: 1-7.
     Wei Daye. Vibration ProPagation in Ordered and Disordered Periodic Orthotropic Rib-Stiffened Panels[D]. Beijing: Beijing Jiaotong University, 2011: 1-7.
[13] 白崇喜. 无粘结CFRP筋部分预应力混凝土梁板设计方法研究[D]. 哈尔滨: 哈尔滨工业大学, 2010: 1-23.
     Bai chongxi. Research on design methods of Concrete beams and slabs partially Prestressed with unbonded CFRP Tendons[D]. Harbin: Harbin Institute of Technology, 2010:1-23.
[14] 张浩宇, 何宇廷, 冯宇, 等. 碳纤维增强环氧树脂复合材料加筋板的压缩屈曲特性[J]. 机械工程材料, 2015, 39(12): 59-62.
     Zhang Haoyu, He Yuting, Feng Yu, et al. Compressive Buckling Property of Carbon Fiber Reinforced Epoxy Resin Composite Stiffened Panel[J]. Materials for Mechanical Engineering, 2015, 39(12): 59-62.

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