| 扁壳弯曲分析的混合样条元法 |
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| 引用本文： | 沈小璞,余景平,沈鹏程.扁壳弯曲分析的混合样条元法[J].安徽建筑工业学院学报,2003,11(1):6-10. |
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| 作者姓名： | 沈小璞 余景平 沈鹏程 |
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| 作者单位： | [1]安徽建筑工业学院土木工程系，合肥230022 [2]合肥工业大学计算中心，合肥230009 |
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| 摘 要： | 提出一种扁壳弯曲分析的混合样条元法，应用三次B样条函数构造出弯矩、扭矩、薄膜力和横向位移场函数。根据混合变分原理，推导出扁壳弯曲问题的二类变量混合样条元方程。该方法对求解壳体弯曲问题非常有效，数值结果已在计算机中得以实现。
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| 关 键 词： | 混合样条元法 扁壳 混合变分原理 计算机 弯矩 扭矩 |
A SPLINE MIXED ELEMENT METHOD FOR BENDING ANALYSIS OF SHALLOW SHELLS |
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| SHEN Xiaopu,YU Jingping,SHEN Pengcheng.A SPLINE MIXED ELEMENT METHOD FOR BENDING ANALYSIS OF SHALLOW SHELLS[J].Journal of Anhui Institute of Architecture(Natural Science),2003,11(1):6-10. |
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| Authors: | SHEN Xiaopu YU Jingping SHEN Pengcheng |
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| Abstract: | This paper presents a spline mixed element method for bending analysis of shallow shells.The cubic B spline functions are used to construct the bending moments,the twisting moments,the membrane forces and the transverse displacements field functions.The mixed spline element equations of bending problems with two kinds of varilables of shallow shells are derived based on the mixed variational principle.The proposed method is to be quite effective for the bending of shell problems.The numerical results have been carried out on a computer. |
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| Keywords: | spline mixed element method shallow shell mixed variational principle |
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