三串联耦合振子的功率流
Power flow of three series coupled oscillators
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摘要: 本文推导了三串联耦合振子的功率流表达式。理论分析说明,三串联耦合振子功率流不同于双耦合振子功率流,它不仅包括直接耦合振子间的直接耦合功率流,而且还包括间接耦合振子间的间接耦合功率流。通常在经典统计能量分析中,由于弱耦合的假设,不存在间接耦合功率流。间接功率流与间接振子的存储能量差成正比,功率流的幅值相等,而方向相反。通过数值计算,研究了间接功率流与振子和耦合参数的关系,表明在强耦合情况下,间接功受流是不可忽略的。Abstract: In this paper,the formulae of power flow between a three series coupled oscillators have been derived.It is shown that power flow between the three series coupled oscillators is different from that between the two coupled oscillators,and not only includes the direct power flow,which exists in the two coupled oscillators,but also the indirect power flow between the indirectly coupled oscillators,which does not exist in the indirect coupled oscillators for classical Statistical Energy Analysis because of an assumption of weak coupling between the coupled subsystems.The indirect power flow is proportional to the differences among the stored energies in the indirectly coupled oscillators,and the amplitude of the power flow in different directions is the same,the direction opposite.The relationships between the indirect power flow and the parameters of the oscillators have been investigated using numerical method,and it has been shown that in strong coupling conditions the indirect power flow have to be considered.
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