A slope-restructured method for thin plate problems with linear point interpolation
This paper presents a slope-restructured method (SRM) for thin plate problems using three-node triangular mesh and linear point interpolation. The thin plate formulation with only deflection as nodal variables and the slopes are restructured using the generalized gradient smoothing technique. The deflection fields are approximated using the linear shape functions. The slope at critical points are first obtained using the gradient smoothing techniques (GST) over different smoothing cells, and different plate element formulations are present using the deflections and smoothed slopes as the field variables. Three schemes for constant curvature plate formulation are proposed. The generalized smoothed Galerkin weak form is then used to create the discretized system equations. The essential boundary conditions of rotation part are imposed in the process of forming curvature field, and the translation boundary conditions are imposed as it does in the standard FEM. A number of numerical examples are studied using the present methods and the numerical results are compared with the analytical ones and those in the published literatures. The results show that outstanding schemes can obtain very accurate solutions.
generalized smoothed Galerkin weak form gradient smoothing techniques (GST) slope-restructured method (SRM) thin plate free vibration
X. Y. Cui G R. Liu G Y. Li
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changs Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering
国际会议
南京
英文
11-22
2009-10-12（万方平台首次上网日期，不代表论文的发表时间）