将薄板矩形单元扩展为厚薄板通用单元的一般方法

A UNIVERSAL METHOD FOR CONSTRUCTING RECTANGULAR ELEMENTS FOR THIN AND THICK PLATES

  • 摘要: 本文提出将已有的薄板矩形单元扩展为无剪切闭锁现象的厚薄板通用单元的一般方法。对于薄板极限情况,这种厚薄板通用单元自动退化为原有的薄板单元,完全无剪切闭锁现象发生。应用此法构造的两个厚薄板通用矩形单元ADS1和ADS2自由度少,只含有角点挠度和转角,推导简明并具有一般性,能够通过分片检验。数值算例表明这两个单元对薄板和厚板都具有较高的精度,适用于实际工程计算。

     

    Abstract: In this paper, a universal method for construction of rectangular elements for thinthick plates is proposed. By using this method. two 12 DOF locking-free thick plate rectangular elements, ADS1 and ADS2, are constructed. The elements degenerate to thin plate elements automatically when the thickness of plates approaches to the limit of thin plate. As a result, shear locking is avoided. Numerical examples show that the elements are effective for a large range of thickness-span ratios, and have the advantages of high accuracy, good convergence and stability.

     

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