Title :
The third superharmonic resonance of inclined beam subjected to harmonic excitation in temperature field
Author :
Li Gao-feng ; Yang Zhi-an ; Xi Xiao-yan
Author_Institution :
Key Lab. of Struct. & Vibration Eng., Langshan Coll., Langshan, China
Abstract :
Based on nonlinear vibration equation of inclined beam subjected to harmonic excitation in temperature field, the first approximate solution of the 3 superharmonic resonance of the nonlinear vibration system is obtained by means of the method of multiple scales for nonlinear oscillations. The jumping and hysteresis phenomena of amplitude frequency response curves of 3 superharmonic are obvious. Numerical analysis on the influence of temperature, excitation, dumping, and geometric parameter on amplitude frequency response curve are as follow. With the increasing of Elastic modulus, cross-sectional area, damping, and high, the amplitude and resonant region of the 3 superharmonic resonance decrease. With the increasing of Excitation amplitude, length, initial temperature and temperature coefficient, the amplitude and resonant region of the 3 Superharmonic resonance increase.
Keywords :
beams (structures); damping; elastic moduli; vibrations; amplitude frequency response curve; cross-sectional area; damping; dumping; elastic modulus; excitation amplitude; geometric parameter; harmonic excitation; hysteresis phenomena; inclined beam; jumping phenomena; nonlinear oscillation; nonlinear vibration; temperature field; third superharmonic resonance; Damping; Equations; Frequency response; Harmonic analysis; Mathematical model; Moment methods; Vibrations; 3 Superharmonic resonance; inclined beam; temperature field; the method of multiple scales;
Conference_Titel :
Electronic and Mechanical Engineering and Information Technology (EMEIT), 2011 International Conference on
Conference_Location :
Harbin, Heilongjiang, China
Print_ISBN :
978-1-61284-087-1
DOI :
10.1109/EMEIT.2011.6023208
