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首页> 外文期刊>Applied Mathematical Modelling >Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach
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Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach

机译：基于新辛方法的矩形板的精确弯曲分析，两个相邻的边没有空，而另一个被夹紧或简单地支撑

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摘要

The symplectic geometry approach is introduced for accurate bending analysis of rectangular thin plates with two adjacent edges free and the others clamped or simply supported. The basic equations for rectangular plates are first transferred into Hamilton canonical equations. Using the symplectic approach, the analytic solution of rectangular thin plate with two adjacent edges simply supported and the others slidingly supported is derived. Accurate bending solutions of title problems are then obtained using the superposition method. The approach used in this paper eliminates the need to pre-determine the deformation function and is hence more reasonable than conventional methods. Numerical results are presented to demonstrate the validity and efficiency of the approach as compared with those reported in other literatures.
机译：引入了辛几何方法来对矩形薄板进行精确的弯曲分析，该矩形薄板具有两个相邻的边，而另一个则被夹紧或简单地支撑。首先将矩形板的基本方程式转换为汉密尔顿正则方程式。利用辛方法，推导了矩形薄板的两个相邻边被简单支撑而另一个被滑动支撑的解析解。然后使用叠加方法获得标题问题的准确弯曲解决方案。本文使用的方法消除了预先确定变形函数的需要，因此比常规方法更合理。数值结果表明，与其他文献报道的方法相比，该方法的有效性和有效性。

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