[1]吴 晓,黄 翀.温度场中功能梯度材料圆板的非线性弯曲[J].西安建筑科技大学学报:自然科学版,2013,45(05):694-699.[doi:10.15986/j.1006-7930.2013.05.015]
　WU Xiao,HUANG Chong.Nonlinear bending calculation of FGM circular plate in the temperature field[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2013,45(05):694-699.[doi:10.15986/j.1006-7930.2013.05.015]
点击复制

温度场中功能梯度材料圆板的非线性弯曲()
分享到：

西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
45
期数:
2013年05期
页码:
694-699
栏目:
出版日期:
2013-10-31

文章信息/Info

Title:
Nonlinear bending calculation of FGM circular plate in the temperature field
文章编号:
1006-7930(2013)05-0694-06
作者:
吴 晓; 黄 翀
(湖南文理学院土木建筑工程学院,湖南 常德 415000)
Author(s):
WU Xiao;  HUANG Chong
(College of Civil and Architecture Engineering, Hunan University of Arts and Science, Changde 415000, China)
关键词:
温度场; 功能梯度材料; 圆板; 非线性; 弯曲
Keywords:
temperature field;  functionally graded material(FGM); circular plate;  nonlinear;  bending deformation
分类号:
O 343
DOI:
10.15986/j.1006-7930.2013.05.015
文献标志码:
A
摘要:
采用弹性理论建立了功能梯度材料板的静力平衡方程,利用静力平衡方程确定了功能梯度材料板的中性面位置,在此基础上推导出了功能梯度材料板在温度场中的非线性弯曲微分方程组,求得了圆板中心挠度与均布载荷的关系式,讨论分析了梯度指数、温度等因素对功能梯度材料板非线性弯曲的影响.把该方法计算结果与有限元计算结果进行了比较,验证了该方法的计算结果是可靠的.算例分析表明,中性面位置对温度场中功能梯度材料圆板的非线性弯曲有一定影响,在荷载较大时,宜考虑中性面位置对弯曲的影响.
Abstract:
Static equilibrium equation of FGM circular plate was established by using elastic mechanics theory. The location of neutral plane in FGM circular plate was determined by the utilization of static equilibrium equation. The nonlinear bending deformation differential equations of FGM circular plate in temperature field was derived, and the deflection function of FGM circular plate acquired. The effects of temperature, index of gradient on nonlinear bending deformation of FGM circular plate were discussed. Through FEM analysis of elliptical plate, the correctness of the method was verified. The main conclusions are as follows: the position of neutral surface was influential to nonlinear bending deformation of FGM circular plate and should consider the impact of the location of the neutral plane of bending when loading was large enough

参考文献/References:

[1] ZHONG Z,YU T.Vibration of a simply supported functionally graded piezoelectric rectangular plate [J].SmartMater Struct, 2006(15):1404.
[2] ZHONG Z, SHANG E T.Three-dimensionalexactanalysisofasimplysupportedfunctionallygradientpiezoelectricplate[J].IntJ Solids Struct,2003,40(20):5335.
[3] 尚尔涛, 仲 政. 功能梯度热释电材料平板柱形弯曲问题的精确解[J]. 应用力学学报,2003,20(4):122.
SHANG Er-tao, ZHONG Zheng.Exact solutions forfunctionally graded piezothermoelectric plates in cylindricalbending [J].ChineseJournal of Applied Mechanics,2003,20(4):122.
[4] CHEN W Q, DING HJ.Onfreevibrationofafunctionallygradedpiezoelectricplates [J].Acta Mechanica,2002(153):207.
[5] WU X H,CHEN C Q, SHEN Y P, etal.A high ordertheoryforfunctionally graded piezoelectric shells[J].IntJSolids Struct,2002,39(20):5325.
[6] 吴瑞安, 仲 政, 金 波. 功能梯度压电材料矩形板的三维分析[J], 固体力学学报;2002,23( 专辑):43-49.
WU Rui-an ,ZHONG Zheng ,JING Bo.Functionallygraded piezoelectricrectangular platethree-dimensionalanalysis[J].Journal of Solid Mechanics, 2002,23(Album):43-49.
[7] 正 光, 仲 政, 戴 瑛. 功能梯度矩形板的三维弹性分析[J]. 力学季刊 ,2004,25(1):15-20.
ZHENG Guang,ZHENG Zheng ,DAI Ying.Functionallygradedrectangular plate-dimensional elastic analysis[J].Chinese Quarterlyof Mechanics,2004,25(1):15-20.
[8] 连 生, 赵永刚, 杨静宁 . 径向压力作用下功能梯度圆板的过屈曲 [J]. 兰州理工大学学报,2006,32(4):158-161.
LIAN Sheng,ZHAO Yong -Gang ,YangJing-lin.Functionallyradial pressure gradientcircular plate buckling[J].Lanzhou Universityof Technology,2006,32(4):158-161.
[9] 周凤玺 李世荣. 功能梯度材料圆板的三维弹性分析[J]. 振动与冲击,2008,27(1):116-118.
ZHOU Feng-xi ,LI Shi-rong.FGM circular plates dimensional elastic analysis[J].Vibration and Shock,2008,27(1):116-118.
[10] 王铁军, 马连生, 石朝锋. 功能梯度中厚圆/环板轴对称弯曲问题的解析解[J]. 力学学报,2004,36(3):348.
WANG Tie-jun, MA Lian-shen,SHI Zhao-feng.Analyticalsolutionsforaxisymmetric bendingoffunctionallygra-dedcircular/annular plates [J].Acta Mechanica Sinica,2004,36(3):348.
[11] 马连生, 赵永刚, 杨静 宁 . 功 能 梯 度 圆 板 的 轴 对 称 非 线 性 分 析———大 挠 度 问 题 [J]. 兰 州 理 工 大 学 学 报,2004,30(6):139.
MA Lian-sheng, ZHAO Yong-gang, YANGJing-ning.Axisymmmtric nonlinearanalysis offunctionally gradedcircularplate: largedeflectionbendingproblem[J].Journalof Lanzhou Universityof Technology,2004,30(6):139.
[12] 马连生, 赵永刚, 杨静宁 . 径向压力作用下功能梯度圆板的过屈曲 [J]. 兰州理工大学学报,2006,32(4):158.
MA Lian-sheng, ZHAO Yong-gang, YANGJing-ning.Post-buckling ofafunctionally graded circular platesub-jectedtoradialcompression [ J].Journal of Lanzhou Universityof Technology,2006,32(4):158.
[13] 沈惠申 . 功能梯度复合材料板壳结构的弯曲 ? 屈曲和振动[J]. 力学进展,2004,34(1):53-60.
SHEN Hui-shen.BENDING, Bucklingandvibrationoffunctionallygradedplatesandshells[J].AdvancesIn Me-chanics, 2004,34(1):53-60.
[14] 刘 进, 武兰河, 张晓炜. 功能梯度材料板的弯曲问题[J]. 石家庄铁道学院学报,2003,16(2):1-5.
LIUJin , WU Lan-he, ZHANG Xiao-wei.Onbendingoffunctionallygradedrectangular Plates[J].JournalofShi-jiazhuang RailwayInstitute,2003,16(2):1-5.
[15] 贾春元. 板的非线性分析[M]. 北京: 科学出版社,1989.
JIA Chong-yuan.Nonlinearanalysis on plate[M].Beijing: Science Press,1989.

相似文献/References:

[1]张 辉,王铁行,罗 扬,等.浅层黄土冬季温度场的变化规律研究?[J].西安建筑科技大学学报:自然科学版,2015,47(02):245.[doi:10.15986/j.1006-7930.2015.02.017]
　ZHANG Hui,WANG Tiehang,LUO Yang,et al.Study on temperature field variation rule of shallow loess in winter[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2015,47(05):245.[doi:10.15986/j.1006-7930.2015.02.017]
[2]霍润科,汤寅净,宁翠萍,等.寒区公路隧道保温层设置的数值分析[J].西安建筑科技大学学报:自然科学版,2013,45(02):158.[doi:10.15986/j.1006-7930.2013.02.002]
　HUO Run-ke,TANG Yin-jing,NING Cui-ping,et al.Numerical analysis of insulating layer setting of highway tunnel in cold regions[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2013,45(05):158.[doi:10.15986/j.1006-7930.2013.02.002]
[3]李俊华,刘明哲,萧 寒.火灾后型钢混凝土梁剩余承载力数值模拟分析[J].西安建筑科技大学学报:自然科学版,2013,45(04):470.[doi:10.15986/j.1006-7930.2013.04.003]
　LI Jun-hua,LIU Ming- zhe,XIAO Han.Numerical simulating analysis for residual load bearing capacity of steel reinforced concrete beams after exposure to fire[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2013,45(05):470.[doi:10.15986/j.1006-7930.2013.04.003]
[4]孟庆龙,王 元,李彦鹏.环境模拟实验室内温度场与速度场的数值模拟与实验研究[J].西安建筑科技大学学报:自然科学版,2013,45(05):712.[doi:10.15986/j.1006-7930.2013.05.018]
　MENG Qing-long,WANG Yuan,Li Yan-peng.Numerical simulation and experiment for temperature and velocity field in man-made environment laboratory[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2013,45(05):712.[doi:10.15986/j.1006-7930.2013.05.018]
[5]狄育慧,徐子龙,邓保顺.火车站候车厅不同回风形式的热环境研究[J].西安建筑科技大学学报:自然科学版,2014,46(05):742.[doi:10.15986/j.1006-7930.2004.05.022]
　DI YuhuiXU ZilongDENG Baoshun.Study on different forms of return air indoor thermal environment in the large space of Xi’an Railway Station[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2014,46(05):742.[doi:10.15986/j.1006-7930.2004.05.022]
[6]程站起,金建洲.任意梯度分布功能梯度板条平面裂纹分析[J].西安建筑科技大学学报:自然科学版,2011,43(05):741.[doi:DOI :10.15986/j .1006-7930.2011.05.024]
　CHEN GZhan-qi,J IN J ian-z hou.Plane crack problem for functionally graded strip witharbitrarily distributed properties[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2011,43(05):741.[doi:DOI :10.15986/j .1006-7930.2011.05.024]
[7]杨应华,马 越.太阳辐射作用下钢筒仓结构温度场分析研究[J].西安建筑科技大学学报:自然科学版,2016,48(01):52.[doi:10.15986/j.1006-7930.2016.01.009]
　YANG Yinghua,MA Yue.A study on the temperature field of steel silos under solar radiation[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2016,48(05):52.[doi:10.15986/j.1006-7930.2016.01.009]
[8]许 健,袁 俊,管顺清,等.多年冻土区锥柱基础抗拔承载性能试验研究[J].西安建筑科技大学学报:自然科学版,2017,49(01):70.[doi:10.15986/j.1006-7930.2017.01.011]
　XU Jian,YUAN Jun,GUAN Shunqing,et al.Experimental studies on the uplift bearing capacity of cone-cylindrical foundation in permafrost area[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2017,49(05):70.[doi:10.15986/j.1006-7930.2017.01.011]
[9]高 焱,朱永全,赵东平,等.列车活塞风影响下寒区隧道温度场的变化规律[J].西安建筑科技大学学报:自然科学版,2017,49(01):118.[doi:10.15986/j.1006-7930.2017.01.019]
　GAO Yan,ZHU Yongquan,ZHAO Dongping,et al.Varying rule of temperature field in the tunnel in cold region under the influence of the train piston wind[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2017,49(05):118.[doi:10.15986/j.1006-7930.2017.01.019]
[10]郝培文,张兰峰.基于连续变温的沥青路面温度应力分析[J].西安建筑科技大学学报:自然科学版,2018,50(02):176.[doi:10.15986/j.1006-7930.2018.02.004]
　HAO Peiwen,ZHANG Lanfeng,Asphalt pavement temperature stress analysis based on continuous variable temperature[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2018,50(05):176.[doi:10.15986/j.1006-7930.2018.02.004]

备注/Memo

备注/Memo:
收稿日期:2013-03-19 修改稿日期:2013-09-24
基金项目:湖南省高等学校科学研究重点基金资助项目(11A081);湖南“十二五”重点建设学科基金项目资助
作者简介:吴 晓(1965-),男,湖南常德人,教授,主要从事结构振动理论研究.
更新日期/Last Update: 2015-10-05