CAJ | 학술논문

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。
용일충신형적수치방법-변광활유한원방법（edge-based smoothed finite element method, ES-FEM）대량、판등간단결구적진동여은정성문제진행분석여연구。광활유한원방법재계산계통총체강도구진시재구조적광활역내대응변진행광활조작，저양득도적강도구진개선료유한원방법과강적수치결함。대량화판결구재일정변계조건하적진동여은정성문제적분석결과표명：여기타유한원방법상비，광활유한원방법제고료수치계산결과적정학도화수렴성。
A novel numerical method, edge-based smoothed finite element method (ES-FEM), is used to analyze vibration and stability problems of beam and plate structures. In the ES-FEM, the system global stiffness matrix is computed using strain-smoothed method over the smoothing domains connected to the edges of the elements. As a result, the smoothing operation can reduce the over-stiffening behavior of the conventional finite element method. Numerical examples of beam and plate structures under special boundary conditions are presented to demonstrate that the ES-FEM can achieve higher accuracy and convergence rate compared with the conventional FEM for structures.