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HELLINGER-REISSNER MIXED FORMULATION FOR THE NONLINEAR FRAME ELEMENT WITH LATERAL DEFORMABLE SUPPORTS

机译:Hellinger-Reissner用于非线性框架元件的混合配方,具有侧向可变形支撑件

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This paper presents the theory and applications of the Hellinger-Reissner mixed formulation for the nonlinear frame element with lateral deformable supports. The governing differential equations of the problem (strong form) are derived first. Then, the Hellinger-Reissner mixed frame element (weak form) is formulated to solve for the numerical solution of the problem. Tonti' s diagrams are employed to conveniently represent the equations governing both strong and weak forms of the problem. Finally, a numerical example is used to show that the Hellinger-Reissner mixed element is much more accurate than the classical displacement-based element. The nonlinear frame model proposed in this paper has practical applications in modelling the soil-pile structural system, geosynthetics/fiber-glass reinforcement of foundation soils, beam on deformable foundations, etc.
机译:本文介绍了具有横向可变形支撑的非线性框架元件的Hellinger-Reissner混合配方的理论和应用。首先导出问题的管理微分方程(强大的形式)。然后,配制Hellinger-Reissner混合框架元件(弱形式)以解决问题的数值解。蒂蒂的图表被用来方便地代表了有关问题的强大和弱形的方程式。最后,使用数字示例来表明Helling-Reissner混合元件比基于古典位移的元件更准确。本文提出的非线性框架模型具有对土壤桩结构系统,地球合子/纤维 - 玻璃加固基础土壤,可变形基础的梁等的实际应用。

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