摘要
用摄动理论研究了一类多频激励下具有非线性弹性力和摩阻力的相对转动非线性动力学模型.探讨了各种组合频率之间的关系,给出了使多种类型共振同时发生的条件,并用重正规化方法得出了模型在各相应条件下解的渐近表达式.
Using the perturbation theory, a class of relative rotation nonlinear dynamical model possessing nonlinear elastic force, friction force and multi-frequency excitation is investigated. The relations for the frequency syntheses are investigated, and the conditions under which multi-typical resonance happens at the same time are given. Using the renormalization method, the asymptotic expansions for the solutions of the model under corresponding conditions are obtained.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2012年第20期1-12,共12页
Acta Physica Sinica
基金
国家自然科学基金(批准号:11071205)
浙江省自然科学基金(批准号:Y6090164)资助的课题~~
关键词
相对转动
动力学模型
重正规
渐近表达式
relative rotation, dynamic model, renormalization method, asymptotic expansions