机构地区: 天津大学机械工程学院力学系
出 处: 《振动工程学报》 1992年第4期355-366,共12页
摘 要: 本文首先研究了不具有Z_2—对称性时的规范形理论和退化向量场的普适开折理论。然后利用这些理论研究了参数激励与强迫激励联合作用下非线性振动系统的尖点型奇点的余维2退化分叉。 In the first part of this paper we study normal form theory with Z_2-asymmetry and universal unfoldingtheory of the degenerate vector fields.Then these theories are used to study degenerate bifurations of codi-mension 2 of the cusp singularity in a nonlinear oscillator under combined parametric and forcing excita-tions.