Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey

被引：454

作者：

Tornabene, Francesco ^{[1
]}

Fantuzzi, Nicholas ^{[1
]}

Ubertini, Francesco ^{[1
]}

Viola, Erasmo ^{[1
]}

机构：

[1] Univ Bologna, DICAM Dept, Viale Risorgimento 2, I-40136 Bologna, Italy

来源：

APPLIED MECHANICS REVIEWS | 2015年 / 67卷 / 02期

关键词：

FREE-VIBRATION ANALYSIS; DISCRETE SINGULAR CONVOLUTION; RADIAL BASIS FUNCTION; SHEAR DEFORMATION-THEORY; INTEGRAL-EQUATION LBIE; BASIS FUNCTIONS COLLOCATION; LAMINATED COMPOSITE SHELLS; THIN RECTANGULAR-PLATES; INITIAL-VALUE PROBLEMS; GALERKIN MLPG METHOD;

D O I：

10.1115/1.4028859

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A survey of several methods under the heading of strong formulation finite element method (SFEM) is presented. These approaches are distinguished from classical one, termed weak formulation finite element method (WFEM). The main advantage of the SFEM is that it uses differential quadrature method (DQM) for the discretization of the equations and the mapping technique for the coordinate transformation from the Cartesian to the computational domain. Moreover, the element connectivity is performed by using kinematic and static conditions, so that displacements and stresses are continuous across the element boundaries. Numerical investigations integrate this survey by giving details on the subject.

引用

页数：55