摘要
介绍了无网格法采用移动最小二乘法构造形函数,引入罚参数满足边界条件,对弹性体的自由振动问题进行了分析。计算了等截面简支梁的固有频率和相应的固有振型。计算结果与理论解相当吻合,表明了该方法具有较高的精度,说明了无网格法应用在振动问题中具有较好的可行性和应用前景。
Meshless method is a new numerical method developed recently, it requires only nodes and a description of the external and internal boundaries, and no element connectivity is needed totally or partly, thus it does not suffer from the severe problems always associated with mesh tangling and distortion. Based on the moving least squares method, an effective meshless method was developed for the free vibration problems of elastic body. The penalty method was employed to impose the essential boundary conditions. By calculating the natural frequency and natural mode of the same cross simply supported beam, the numerical example showed that the result was similar with the resolve, which showed that using meshless method in the problem of vibration was feasible and effective.
出处
《太原理工大学学报》
CAS
北大核心
2005年第6期630-633,共4页
Journal of Taiyuan University of Technology
关键词
无网格法
移动最小二乘法
权函数
固有频率
固有振型
meshless method
moving least square
weight function
natural frequency natural mode
