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双模量矩形板的大挠度弯曲计算分析
引用本文:吴晓,杨立军,黄翀,孙晋. 双模量矩形板的大挠度弯曲计算分析[J]. 工程力学, 2010, 0(1)
作者姓名:吴晓  杨立军  黄翀  孙晋
作者单位:湖南文理学院;
基金项目:湖南“十一五”重点建设学科(湘教通[2006]180号);;湖南省普通高校青年骨干教师项目(湘教通[2007]256号)
摘    要:双模量矩形板在外载荷作用下,会形成各向同性的拉伸区和压缩区,把双模量矩形板看成两种各向同性材料组成的层合板,采用弹性力学理论建立了双模量矩形板在外载荷作用下的静力平衡方程,利用静力平衡方程确定了双模量矩形板的中性面位置,推导出了双模量矩形板的大挠度弯曲变形微分方程。用加权残值法求得了双模量矩形板的大挠度弯曲变形时板中点挠度,把该方法计算结果与有限元计算结果进行了比较,说明了该计算方法是可靠的,并讨论分析了双模量对矩形板大挠度弯曲变形的影响。

关 键 词:双模量  矩形板  层合板  中性面  大挠度

LARGE DEFLECTION BENDING CALCULATION AND ANALYSIS OF BIMODULOUS RECTANGULAR PLATE
WU Xiao,YANG Li-jun,HUANG Chong,SUN Jin. LARGE DEFLECTION BENDING CALCULATION AND ANALYSIS OF BIMODULOUS RECTANGULAR PLATE[J]. Engineering Mechanics, 2010, 0(1)
Authors:WU Xiao  YANG Li-jun  HUANG Chong  SUN Jin
Affiliation:Hunan University of Arts and Science;Changde;Hunan 415000;China
Abstract:A bimodulous rectangular plate could form an isotropic compression and a tensile area under external loads.Thusly,a bimodulous rectangular plate was regarded as a laminated plate composited of two kind of isotropic material.The static equilibrium equation of the bimodulous rectangular plate under the condition of external loads was established by using elastic mechanics theory.The location of the neutral plane in the bimodulous rectangular plate was determined by the utilization of static equilibrium equati...
Keywords:bimodulous  rectangular plate  laminated plate  neutral plane  large deflection  
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