2008•Journal of Minjiang UniversityRequires access

The 1/2 subharmonic resonance and primary parametric resonance of inclined beam subjected to harmonic excitation in temperature field

Wang Li

Abstract

Based on nonlinear vibration equation of inclined beam subjected to harmonic excitation in temperature field,the first approximate solution of the 1/2 subharmonic resonance and primary parametric resonance of the nonlinear vibration system is obtained by means of the method of multiple scales for nonlinear oscillations.Numerical analysis on the influence of temperature,excitation,and geometric parameter on amplitude frequency response curves is carried out.Stability of steady state solutions is analyzed.

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Available abstract

Key concepts: Resonance (particle physics), Parametric oscillator, Excitation, Nonlinear system, Multiple-scale analysis, Parametric statistics, Vibration, Harmonic