TDDNA程序单点积分的四边边形Mindlin板元

TDDNA 程序是本文作者新研制适用于三维非线性动力响应计算的大型通用程序。四边形Mindlin 板元是该程序单元库中的—类单元.该单元是以 Mindlin 板理论为基础的具有双线性挠度和转动位移场的四边形四结点等参单元。在非线性瞬态分析问题中,为了简化计算和避免剪力闭锁现象的发生,通常采用减缩积分的方法.该程序采用单点积分的方法,使得单元刚度的计算尤为简洁.数值算例表明,可通过适当地调整单元网格,达到解的精度要求.

The Quadrilateral Mindlin Plate Element in TDDNA

The progoam TDDNA using for calculating of three dimensional nonlinear dgnamie re- sponse is developed by the authors,The program is a large versataile one.Mindlin plate element is one of the TDDAN libery.The element based on the Mindlin plate theory is four nods,quadrilateral isoparametic element,accounting for dilinear interpolation of deftaction and rotating effectness.In the analysing of nonlinear transient problem of structures,for simplifying calculation and avoiding the problem of shear locking,the reduced integral is adopted.In TDDNA,one point quadrature is adopted,thorefore,the calculating of element stiffness is simplified greatly.Numerical example shows that the accurate dementd can be satisfied through adjusting the mesh of elements.