用于平板和圆柱壳分析的势能～杂交/混合分离位移有限元格式

A Potential-Hybrid/Mixed Finite Element Scheme for Analysis of Plates and Cylindrical Shells

本文基于势能～杂交/混合有限元格式,导出了具有分离转动变量的4节点四边形Reissner-Mindlin板元MP4、MP4a和圆柱壳元MCS4.所有这些单元都显示了良好的收敛性;不含有多余机动模式;当趋于薄板/壳极限时,不存在“自锁”现象.本文还指明了在C^0和C^1连续的单元列式中使用的修正泛函,存在相互联系.本文的方法可导出Prathap的一致场列式,也可导出RIT/SRIT的位移协调模型.

Based on the potential-hybrid/mixed finite element scheme, 4-node quadrilateral plate-bending elements MP4, MP4a and cylindrical shell element MCS4 are derived with the inclusion of splitting rotations. All these elements demonstrate favorable convergence behavior over the existing counterparts, free from spurious kinematic modes and do not exhibit locking phenomenon in thin plate/shell limit. Inter-connections between the existing modified variational functionals for the use of formulating and continuous elements are also indicated. Important particularizations of the present scheme include Prathap's consistent field formulation, the RII/SRIT-compatible displacement model and so on.