| 对称分段线性系统主共振的分叉 |
| |
| 引用本文： | 王福新,胡海岩.对称分段线性系统主共振的分叉[J].南京航空航天大学学报,1997,29(3):283-288. |
| |
| 作者姓名： | 王福新 胡海岩 |
| |
| 作者单位： | 南京航空航天大学振动工程研究所 |
| |
| 基金项目： | 航空基础科学研究基金、国家自然科学基金 |
| |
| 摘 要： | 由ＫＢＭ法推出的分段线性系统主共振的一次近似解，导出了分叉方程，然后应用奇异性理论对主共振的分叉类型进行了系统的分析，并用计算稳态周期运动的参数延续数值方法结果与其中感兴趣的部分进行了对比，发现基于弱非线性分析的主共振一次近似解在较强的非线性情况下仍具有一定的精度。
|
| 关 键 词： | 奇异性 分叉 分段线性系统 主共振 工程动力学 |
Bifurcations of Primary Resonance of Harmonically Forced Symmetrical Piecewise Linear Systems |
| |
| Wang Fuxin,Hu Haiyan.Bifurcations of Primary Resonance of Harmonically Forced Symmetrical Piecewise Linear Systems[J].Journal of Nanjing University of Aeronautics & Astronautics,1997,29(3):283-288. |
| |
| Authors: | Wang Fuxin Hu Haiyan |
| |
| Abstract: | The first order approximation of the primary resonance of a harmonically forced symmetrical piecewise linear system is derived by using KBM approach. Then, all possible bifurcations of the primary resonance are analyzed from the theoretical viewpoint of singularities. For certain combinations of the system parameters, the analytical results are compared with those computed by means of shooting scheme. The comparison indicates that the first order approximation of the primary resonance based on weak nonlinearity analysis keeps high accuracy even when the nonlinearity in the system becomes rather strong. |
| |
| Keywords: | resonance singularity theory bifurcation piecewise linear system |
| 本文献已被 CNKI 维普 等数据库收录！ |
