环境温度变化时受简谐激励的斜梁主共振

Resonance and simulation of inclined beam subjected to harmonic excitation in temperature

为揭示环境温度变化对斜梁的影响,基于受简谐激励的非线性振动微分方程,利用多尺度法,获得系统主共振的一次近似解,数值计算结果表明:温度、激励、阻尼、几何尺寸对主共振幅频响应曲线有影响,随着温度影响系数、初始温度和激励幅值的增加,主共振的振幅和共振区增大;随着阻尼的增加,主共振的振幅和共振区减小.

In order to reveal the influence of changing environmertal temperature on the inclined beam, based on nonlinear vibration differential equation of inclined beam subjected to harmonic excitation, the first approximate solution of primary resonance of the system was obtained by means of the method of multiple scales. The numerical results shown on that the irifluence of temperature, excitation- ＇- dumping, and geometric parameter on amplitude frequency response curve are as follows, with the increasing of temperature coefficient, initial temperature and amplitude of excitation, the amplitude and resonant region of the primary resonance increase. With the increasing of damping, the amplitude and resonant region of the primary resonance decrease.