| 样条有限条塑性铰法分析板梁的极限荷载 |
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| 引用本文： | 徐忠根,沈祖炎.样条有限条塑性铰法分析板梁的极限荷载[J].上海力学,2006,27(4):535-541. |
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| 作者姓名： | 徐忠根 沈祖炎 |
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| 作者单位： | 广州大学工程抗震研究中心 广州510405(徐忠根)，同济大学结构系 上海200092(沈祖炎) |
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| 摘 要： | 用样条有限条塑性铰法分析了板梁的极限荷载。首先对条单元以样条位移函数表达的总势能进行求导而推导了位移-荷载关系式。然后用塑性铰法推导了单元的塑性刚度矩阵。因此该方法兼具二者优点:样条有限条法的位移量少和塑性铰法形成塑性刚度矩阵的便利。它还可以考虑梁的初始缺陷,如残余应力和初弯曲。通过与相关的试验数据比较,证明该方法有效与可靠。
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| 关 键 词： | 塑性铰法 极限荷载 板梁 屈服条件 势能 位移-荷载方程 |
| 文章编号： | 0254-0053（2006）04-535-7 |
| 收稿时间： | 2004-12-27 |
| 修稿时间： | 2004年12月27 |
Ultimate Load Analysis of Plate Girders by Spline Finite Strip and Plastic Hinge Method |
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| XU Zhong-gen, SHEN Zu-yan.Ultimate Load Analysis of Plate Girders by Spline Finite Strip and Plastic Hinge Method[J].Chinese Quarterly Mechanics,2006,27(4):535-541. |
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| Authors: | XU Zhong-gen SHEN Zu-yan |
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| Institution: | 1. Earthquake Engineering Research Test Center, Guangzhou University, Guangzhou 510405, China; 2. Department of Structural Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | The ultimate load of plate girders was analyzed by spline finite strip and plastic hinge method. The displacement load equations were derived by differentiating with respect to total potential energy in spline displacement function of a strip. The plastic elemental stiffness matrix was derived by plastic-hinge method. So, it takes both advantages of spline finite strip method with less node displacement and that of plastic hinge method with convince of getting plastic elemental stiffness matrix. It can also take care of some plate girder defections, such as residual stresses and initial bending. After comparing to corresponding experimental information, it proves that this method is efficient and reliable. |
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| Keywords: | spline finite strip method plastic hinge method ultimate load plate girder yielding condition potential energy displacement load equation |
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