摘要
采用Davidenkov模型来描述材料的滞后非线性,用多尺度方法及奇异性理论得到此类系统的一些新的动力学行为.对工程中常见的分岔模式,给出其参数空间中开折参数与原系统参数间的对应关系。
On the basis of the Dovidenkov′s model, this paper describes the hysteretic nonlinearity of materials. Some new dynamical behaviors of such systems are obtained by the method of multiple scales and the singularity theory. For the bifurcation models commonly occurring in engineering, the corresponding relations between the unfolding parameters and the system parameters are given and the theoretical basis for analysis and control in dynamical behaviors of the system is provided.
出处
《天津大学学报》
EI
CAS
CSCD
1997年第3期299-304,共6页
Journal of Tianjin University(Science and Technology)
基金
国家教委博士点基金