关于一阶剪切板的Kûrmûn型精化理论

张建武; 李奇; 束永平

关于一阶剪切板的Kûrmûn型精化理论

上海交通大学机械工程学院, 上海 200030

基金项目: 国家自然科学基金资助项目(59675027)

详细信息

作者简介:
张建武(1954~ ),男,教授,工学博士,德国洪堡学者.

中图分类号: TU311.2
计量
- 文章访问数: 2584
- HTML全文浏览量: 137
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- 被引次数: 0
出版历程
- 收稿日期: 1999-02-26
- 修回日期: 1999-12-18
- 刊出日期: 2000-05-15

On the Refined First-Order Shear Deformation Plate Theory of Kûrmûn Type

College of Mechanics and Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China

摘要

摘要: 依据Mindlin-Reissner理论,着重研究一阶剪切板的Kûrmûn型精化理论,并推导出仅以挠度和应力函数为未知变量的广义Kûrmûn型大挠度方程,适用于复合材料上复合构造剪切板的非线性分析.在当前板的精化理论中,消去的两个转角以隐含形式作用于板的整体变形.这一工程理论适用于各种计及横向剪切复合材料板、正交各向异性中厚板和夹层板等的线性和非线性分析.容易发现,针对具体的工程应用,由该方程可直接获得相应的退化形式,并且与文献所载的一致.
- 复合材料 /
- 剪切板 /
- Kûrmûn方程
Abstract: A new refined first-order shear-deformation plate theory of the Karman type is presented for engineering applications and a new version of the generalized Karman large deflection equations with deflection and stress functions as two unknown variables is formulated for nonlinear analysis of shear-deformable plates of composite material and construction, based on the Mindlin/Reissner theory. In this refined plate theory two rotations that are constrained out in the formulation are imposed upon overall displacements of the plates in an implicit role. Linear and nonlinear investigations may be made by the engineering theory to a class of shear-deformation plates such as moderately thick composite plates, orthotropic sandwich plates, densely stiffened plates, and laminated shear-deformable plates. Reduced forms of the generalized Karman equations are derived consequently, which are found identical to those existing in the literature.
- composite /
- shear deformation plates /
- Kûrmûn equations

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参考文献(12)

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