一种考虑剪切变形影响的矩形板弯曲单元

A Rectangular Plate Bending Element Suitable for Transverse Shear Strain Deformation

用单位宽纵横向条带法构造了矩形板弯曲单元的位移模式 ,并假定横向剪切应变在单元内线性变化 ,由此推导出了一个具有 2 0个自由度的矩形板弯曲单元的计算列式 ,此方法满足了单元边界 C1连续条件 ,克服了“剪切自锁”,可用于大型板系结构的计算 .

A displacment field of rectangular plate elment is constructed by using unit width strip in length and breadth.The computing formulae of rectangular plate bending element with 20 degrees of freedom are derived under the assumption that in each element the shear strain varies linearly.The C 1 continuity condition is satisfied and the “shear locking” is surmounted.It is suitable for computing the large plate structure.Computational examples indicate the computing method in this paper is well reliable and has high precision.