On triangle or quadrilateral meshes, two finite element methods are proposed for solving the Reissner-Mindlin plate problem either by augmenting the Galerkin formulation or modifying the plate-thickness. In these meth...On triangle or quadrilateral meshes, two finite element methods are proposed for solving the Reissner-Mindlin plate problem either by augmenting the Galerkin formulation or modifying the plate-thickness. In these methods, the transverse displacement is approximated by conforming(bi)linear macroelements or(bi)quadratic elements, and the rotation by conforming(bi)linear elements. The shear stress can be locally computed from transverse displacement and rotation. Uniform in plate thickness, optimal error bounds are obtained for the transverse displacement, rotation, and shear stress in their natural norms. Numerical results are presented to illustrate the theoretical results.展开更多
提出了一种离散奇异卷积(DSC:D iscrete S ingu lar Convolution)方法来对基于M ind lin剪切变形理论的矩形厚板进行自由振动分析。此方法采用了Gauss delta序列核作为基函数并结合pb-2 Rayle igh-R itz方法(pb-2指的是a two-d im ensio...提出了一种离散奇异卷积(DSC:D iscrete S ingu lar Convolution)方法来对基于M ind lin剪切变形理论的矩形厚板进行自由振动分析。此方法采用了Gauss delta序列核作为基函数并结合pb-2 Rayle igh-R itz方法(pb-2指的是a two-d im ensional polynom ial function(p-2)and a boundary function(b))的边界函数得到了一种新型的R itz方法。数值结果表明此方法相当精确有效。展开更多
基金supported by NSFC(11571266,91430106,11171168,11071132)NSFC-RGC(China-Hong Kong)(11661161017)
文摘On triangle or quadrilateral meshes, two finite element methods are proposed for solving the Reissner-Mindlin plate problem either by augmenting the Galerkin formulation or modifying the plate-thickness. In these methods, the transverse displacement is approximated by conforming(bi)linear macroelements or(bi)quadratic elements, and the rotation by conforming(bi)linear elements. The shear stress can be locally computed from transverse displacement and rotation. Uniform in plate thickness, optimal error bounds are obtained for the transverse displacement, rotation, and shear stress in their natural norms. Numerical results are presented to illustrate the theoretical results.
文摘提出了一种离散奇异卷积(DSC:D iscrete S ingu lar Convolution)方法来对基于M ind lin剪切变形理论的矩形厚板进行自由振动分析。此方法采用了Gauss delta序列核作为基函数并结合pb-2 Rayle igh-R itz方法(pb-2指的是a two-d im ensional polynom ial function(p-2)and a boundary function(b))的边界函数得到了一种新型的R itz方法。数值结果表明此方法相当精确有效。
