Perturbation Analysis of the Effective Equation for Two Coupled Periodically Driven Oscillators
نویسنده
چکیده
Coupled oscillators play an important role in many scientific fields, for example, in mechanics, electronics, and biology; see [1, 4] and references therein. In this paper we analyze two coupled oscillators, one of which is driven by an external periodic force. Important example of such a system is a dynamic vibration absorber which consists of a small mass, m2, attached to the primary vibrating system of mass m1 [2, 10]. We make the simplifying approximation that, while the motion of the smaller mass is nonlinear, the motion of the main mass can be treated as linear. Equations describing dynamics of such a system are of the form
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