无阻尼单自由度简谐振动临近共振情况的振幅

Amplitude of Un-damped SDOF Structure System under Simple Harmonic Oscillation Approaching to Resonance

简谐荷载作用下的无阻尼单自由度结构系统在接近共振时 ,由以往的知识可知 ,干扰频率θ接近于系统固有频率ω ,即θ→ω的情况 ,对于结构而言是危险的 ,这是对其中的纯强迫振动进行讨论后得出的结论 ,而结构的实际情况是 ,系统并不只受到纯强迫振动。本文讨论的是考虑伴生振动和纯强迫振动两者共同作用情况下 。

For the un damped single degree of freedom (SDOF) structure system, under simple harmonic oscillation approaching to resonance, the condition, under which the frequency value of forced vibration approaches to that of natural vibration ( θ→ω ), is dangerous to structure. It has been drawn from forced vibration. However, the fact is that there is more than forced vibration on the structural system. The paper mainly discusses the amplitude of un damped SDOF structure system under the simple harmonic oscillation considering the interaction of the steady state vibration and the forced vibration.