Generalized van der Pol equation;
Quasiperiodic response;
Sub- and Superharmonic synchronization;
Beating effect;
Numerical simulation;
D O I:
10.21495/71-0-105
中图分类号:
TH [机械、仪表工业];
学科分类号:
0802 ;
摘要:
The generalized van der Pol equation is often used for description of various effects originating in the aero-elasticity of large slender engineering structures. This applies mainly to the quasiperiodic beatings that can be encountered especially in lock-in regimes when the vortex frequency becomes close to the structure eigenfrequency with a small detuning. The current paper presents numerical analysis of influence of the sub- or superharmonic excitation on the character of the response of a generalized van der Pol oscillator. This way it complements two previous papers of the authors dealing with stability analysis of certain types of the stationary periodic or quasiperiodic response of the system under study.