基于边光滑有限元法的结构振动与稳定性研究  

Analysis of Vibration and Stability of Structures Using Edge-based Smoothed Finite Element Method

作　　者：李威[1] 李诤[1] 柴应彬 韩旭[2] 

机构地区：[1]华中科技大学船舶与海洋工程学院,武汉430074 [2]湖南大学机械与运载工程学院,长沙410082

出　　处：《噪声与振动控制》2014年第2期1-4,共4页Noise and Vibration Control

基　　金：国家杰出青年科学基金项目(10725208)

摘　　要：用一种新型的数值方法—边光滑有限元方法(edge-based smoothed finite element method,ES-FEM)对梁、板等简单结构的振动与稳定性问题进行分析与研究。光滑有限元方法在计算系统总体刚度矩阵时在构造的光滑域内对应变进行光滑操作,这样得到的刚度矩阵改善了有限元方法过刚的数值缺陷。对梁和板结构在一定边界条件下的振动与稳定性问题的分析结果表明:与其它有限元方法相比,光滑有限元方法提高了数值计算结果的精确度和收敛性。A novel numerical method, edge- based smoothed finite element method （ES- FEM）, is used to analyzevibration and stability problems of beam and plate structures. In the ES-FEM, the system global stiffness matrix is computedusing strain- smoothed method over the smoothing domains connected to the edges of the elements. As a result, thesmoothing operation can reduce the over-stiffening behavior of the conventional finite element method. Numerical examplesof beam and plate structures under special boundary conditions are presented to demonstrate that the ES-FEM can achievehigher accuracy and convergence rate compared with the conventional FEM for structures.

关 键 词：振动与波 有限元法 边光滑有限元法 刚度矩阵 稳定性 

分 类 号：O241.82[理学—计算数学]