| 厚/薄板稳定分析的样条无单元法 |
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| 引用本文： | 韦良,秦荣,李秀梅,吴锋.厚/薄板稳定分析的样条无单元法[J].四川建筑科学研究,2011,37(2):17-21. |
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| 作者姓名： | 韦良 秦荣 李秀梅 吴锋 |
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| 作者单位： | 广西大学土木建筑工程学院,广西,南宁,530004 |
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| 基金项目： | 国家自然科学基金资助项目(19872001); 广西自然科学基金项目(桂科自0339013) |
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| 摘 要： | 把挠度和剪应变作为独立的场变量,以Mindlin-Reissner中厚板理论为基础,建立了厚/薄板稳定分析的样条无单元法的计算格式。样条无单元法无需单元分划,仅对整个求解区域作少量的样条结点离散,采用双向3次B样条基函数乘积的线性组合构造场函数,可充分发挥无单元法和B样条函数的优点。数值计算结果表明,该方法适用于不同厚度、不同边界的板的稳定分析,且精度高,收敛快,自由度少,无剪切闭锁现象,程序简便。
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| 关 键 词： | 厚/薄板 样条无单元法 稳定 变分原理 |
Spline element-free method for thick/thin plate stability analysis |
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| WEI Liang,QIN Rong,LI Xiumei,WU Feng.Spline element-free method for thick/thin plate stability analysis[J].Building Science Research of Sichuan,2011,37(2):17-21. |
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| Authors: | WEI Liang QIN Rong LI Xiumei WU Feng |
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| Affiliation: | WEI Liang,QIN Rong,LI Xiumei,WU Feng(School of Civil and Architecture Engineering,Guangxi University,Nanning 530004,China) |
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| Abstract: | The spline element-free method computation format for the stability analysis of thick/thin plate is established based on Mindlin-Reissner theory,which takes deflection and shear strains as the independent field variables.The field functions are formatted by the linear combination of double B-spline basis functions.With no meshing,only a few dispersed knots are needed,this method can make full use of the advantages of element-free method and B-spline function.Numerical results show that this method has many ... |
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| Keywords: | thickhin plate spline element-free method stability variational principle |
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