| 无网格法在固有频率分析中的应用 |
| |
| 引用本文： | 王凤翔.无网格法在固有频率分析中的应用[J].装备制造技术,2011(4):63-66. |
| |
| 作者姓名： | 王凤翔 |
| |
| 作者单位： | 中国民航大学航空工程学院,天津,300300 |
| |
| 摘 要： | 针对复合材料层合板的固有频率问题,结合径向基插值函数和修正后的H-R变分原理,推导了Hamilton正则方程的无网格列式,使得无网格法的优越性与弹性力学Hamilton正则方程的半解析法得到了有机的结合,为Hamilton正则方程提出了一种无网格半解析方法。
|
| 关 键 词： | 复合材料层合板 固有频率 无网格法 径向基插值函数(RPIM) H-R变分原理 |
Application of Mesh Less Method on Natural Frequency Analysis |
| |
| Authors: | WANG Feng-xiang |
| |
| Affiliation: | WANG Feng-xiang (College of Aeronautical Engineering,Civil Aviation University of China,Tianjin 300300,China) |
| |
| Abstract: | For nature frequency of composite laminated plates,Mesh free formulistic of Hamilton canonical equation was derived by combining the modified Hellinger-Reissner variation principle and the radial interpolation functions in this paper.Based on the shape functions of Multi Quadric(MQ),Gaussian(EXP) and thin plane spine(TPS),the natural frequencies of the single laminated plates were obtained by the mesh free formulistic of Hamilton canonical equation.This study introduced the advantages of mesh free method into semi-analytic solution of Hamilton canonical equation,and a new semi-analytic method was presented for Hamilton canonical equation. |
| |
| Keywords: | composite laminated plates natural frequency mesh free method radial interpolation method(RPIM) H-R volitional principle laminated plates |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
