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。
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.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
1997年第3期283-288,共6页
Journal of Nanjing University of Aeronautics & Astronautics
基金
航空基础科学研究基金
国家自然科学基金
