Primary Parametric Resonance of Inclined Beam Subjected to Harmonic Excitation in Temperature Field

Based on nonlinear vibration equation of inclined beam subjected to harmonic excitation in temperature field,the first approximate solution of primary parametric resonance of the nonlinear vibration system is obtained by means of the method of multiple scales for nonlinear oscillations.Results of numerical analysis of the influence of temperature and the ratio of length to height on amplitude frequency response curves are as follows.An analysis is made of stability of steady state solutions and the resonant region of the primary paratric resonance system is narrow.With the decreasing of the temperature and the ratio of length to height,the resonant region of primary parametric resonance of the system increases.