振动时间对无阻尼单自由度简谐振动共振时振幅的影响

The Effect on the Amplitude of Vibration Span of Resonance-Approached of Simple Harmonic Vibration of Undamped Single-Degree-of-Freedom System

综合考虑了无阻尼单自由度体系在简谐荷载作用下接近共振时的固有振动、伴生振动和强迫振动,运用洛必达法则和LAB分析了体系在三者共同作用下的位移响应时程,提出了影响体系共振振幅的其它因素。

In this paper, the effect of the Natural Vibration, Steady-State Vibrations and Forced Vibrations is thought together, caused by the vibration of Resonance-approachedof Simple Harmonic Vibration of Undamped Single-Degree-Of-Freedom System(SDOF) , and analyse the displacement response of the system and the relation between the vibration span and the amplitude in the course of vibration by use of L'Hospital rule and MATLAB, the mathematic tool and implemental software. And then bring forward others dominate factors diminishing the amplitude of system being in resonance. The results can give you some hints in the designs of structure.