基于n阶剪切变形理论的复合材料层合板屈曲分析

石峰; 马洪英; 孙义真; 项松; 王艳冰; 栾婷婷

doi:10.21656/1000-0887.410061

基于n阶剪切变形理论的复合材料层合板屈曲分析

doi: 10.21656/1000-0887.410061

¹沈阳广播电视大学数字化资源研发中心, 沈阳110003;²沈阳航空航天大学辽宁省通用航空重点实验室, 沈阳 110136

基金项目: 航空科学基金(20173254006)；辽宁省自然科学基金指导计划(20180550824)；辽宁省教育厅重点攻关和服务地方项目(JYT19004)

详细信息

作者简介:
石峰（1987—），男，讲师，硕士（通讯作者. E-mail: 707163415@qq.com）.

中图分类号: O326
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出版历程
- 收稿日期: 2020-02-24
- 修回日期: 2020-04-16
- 刊出日期: 2020-12-01

Buckling Analysis of Composite Laminate Plates Based on the n-order Shear Deformation Theory

¹Research and Development Center of Digital Resources, Shenyang Open University,Shenyang 110003, P.R.China;²Liaoning Key Laboratory of General Aviation, Shenyang Aerospace University,Shenyang 110136, P.R.China

摘要

摘要: 采用n阶剪切变形理论分析了复合材料层合板的屈曲问题，根据虚功原理推导出了复合材料层合板在面内载荷作用下临界屈曲的控制微分方程.将此方法所得结果与其他文献中的结果进行了比较，结果表明，该理论具有较高的计算精度.
- 复合材料层合板 /
- 屈曲 /
- 解析法 /
- 面内载荷 /
- n阶剪切变形理论
Abstract: The buckling of composite laminate plates was analyzed with the nth-order shear deformation theory. The virtual work principle was used to derive the governing equations for the critical buckling of laminate pates under in-plane loads. The comparison between the present results and the results of previous literatures shows good agreement and high calculation accuracy.
- composite laminate plate /
- buckling /
- analytical method /
- in-plane load /
- nth-order shear deformation theory

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参考文献(15)

[1]	孔斌, 叶强, 陈普会, 等. 复合材料整体加筋板轴压后屈曲的传载机制[J]. 复合材料学报, 2010, 27(5): 142-149.(KONG Bin, YE Qiang, CHEN Puhui, et al. Post-buckling load transfer mechanisms of an integrated composite panel under uniaxial compression[J]. Acta Materiae Compositae Sinica,2010,27(5): 142-149.(in Chinese))
[2]	袁坚锋, 尼早, 陈保兴. 弯剪复合载荷作用下复合材料层合板屈曲的强度校核方法[J]. 复合材料学报, 2014, 31(1): 234-240.(YUAN Jianfeng, NI Zao, CHEN Baoxing. Stress analysis of the buckling of composite laminates under bending shear combination loads[J]. Journal of Composite Materials,2014,31(1): 234-240.(in Chinese))
[3]	彭林欣, 杨绿峰. 基于一阶剪切变形理论和移动最小二乘近似的加肋板屈曲临界荷载求解[J]. 工程力学, 2012,29(7): 42-48.(PENG Linxin, YANG Lüfeng. Critical buckling load calculation of ribbed plates by the first-order shear deformation theory and the moving-least square approximation[J]. Engineering Mechanics,2012,29(7): 42-48.(in Chinese))
[4]	顾元宪, 赵国忠, 李云鹏. 复合材料层合板屈曲稳定性优化设计及其灵敏度计算方法[J]. 复合材料学报, 2002,19(4): 81-86.(GU Yuanxian, ZHAO Guozhong, LI Yunpeng. Optimum design and sensitivity analysis for buckling stability of composite laminated plates[J]. Journal of Composite Materials,2002,19(4): 81-86.(in Chinese))
[5]	洪厚全, 李玉亮, 徐超. 复合材料层合板屈曲优化设计的模拟退火算法应用[J]. 强度与环境, 2012,39(6): 8-14.(HONG Houquan, LI Yuliang, XU Chao. Optimum design and sensitivity analysis for buckling stability of composite laminated plates[J]. Strength and Environment,2012,39(6): 8-14.(in Chinese))
[6]	龚良贵, 侯瑾, 李情. 面内载荷作用下复合材料层合板非线性屈曲[J]. 南昌大学学报（工科版）, 2011, 33(3): 252-258.(GONG Lianggui, HOU Jin, LI Qing. Nonlinear buckling of composite laminated plates subjected to in-plane loading[J]. Journal of Nanchang University(Engineering & Technology),2011,33(3): 252-258.(in Chinese))
[7]	彭凡, 刘一凡, 傅依铭. 复合材料层合板蠕变屈曲与变形的优化问题[J]. 固体力学学报, 2006,27(1): 51-58.(PENG Fan, LIU Yifan, FU Yiming. Optimization of creep buckling and deformation for viscoelastic laminated plates[J]. Journal of Solid Mechanics,2006,27(1): 51-58.(in Chinese))
[8]	杨加明, 孙良新. 用高阶剪切变形理论分析复合材料层板的中等大挠度[J]. 南京航空航天大学学报, 2003,35(5): 545-552.(YANG Jiaming, SUN Liangxin. Analysis of moderate large deflection of composite laminated plates using higher-order shear deformation theory[J]. Journal of Nanjing University of Aeronautics and Astronautics,2003,35(5): 545-552.(in Chinese))
[9]	XIANG S, JIN Y X, BI Z Y, et al. A n -order shear deformation theory for free vibration of functionally graded and composite sandwich plates[J]. Composite Structures,2011,93(11): 2826-2832.
[10]	XIANG S, KANG G W, XING B. A n th-order shear deformation theory for the free vibration analysis on the isotropic plates[J]. Meccanica Milano,2012,47(8): 1913-1921.
[11]	项松, 陈英涛. 正交各向异性和各向同性方板自由振动的三维无网格解[J]. 工程力学, 2013,30(8): 18-22.(XIANG Song, CHEN Yingtao. Three-dimensional meshless solutions for the free vibration of orthotropic and isotropic square plates[J]. Engineering Mechanics,2013,30(8): 18-22.(in Chinese))
[12]	XIANG S, KANG G W. A n th-order shear deformation theory for the bending analysis on the functionally graded plates[J]. European Journal of Mechanics A: Solids,2013,37: 336-343.
[13]	XIANG S, KANG G W, LIU Y Q. A nth-order shear deformation theory for natural frequency of the functionally graded plates on elastic foundations[J]. Composite Structures,2014,111: 224-231.
[14]	FERREIRA A J M, ROQUE C M C, NEVES A M A, et al. Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory[J]. Thin-Walled Structures,2011,49(7): 804-811.
[15]	PUTCHA N S, REDDY J N. Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory[J]. Journal of Sound and Vibration,1986, 104(2): 285-300.