A 1/3 PURE SUBHARMONIC SOLUTION AND TRANSIENT PROCESS FOR THE DUFFING’S EQUATION
XU Yu-xiu1,2, BAO Wen-bo3, W.Schiehlen3, HU Hai-yan4
1. Department of Civil Engineering Shenyang University of Technology, Shenyang 110023, P. R. China;
2. Northeast University, Shenyang, 110006, P. R. China;
3. Institute B for machanic, University Stuttgart, Germany;
4. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China
XU Yu-xiu;BAO Wen-bo;W.Schiehlen;HU Hai-yan. A 1/3 PURE SUBHARMONIC SOLUTION AND TRANSIENT PROCESS FOR THE DUFFING’S EQUATION. Applied Mathematics and Mechanics (English Edition), 2001, 22(5): 586-592.
[1] Magnus K. Vibration[M]. Stuttgart: Teubner Press,1976.
[2] Meinke P H. Study of phase-synchronization and energy trajectory to sub-harmonic vibration[J]. Engineering,1992,41(5):Springen-Verlag.
[3] Kreuzer E. Numerical Study of Non-Linear Dynamic[M]. Berlin: Springer Press,1987.
[4] JIN D P, HU H Y. Periodic vibro-impacts and their stability of a dual component system[J]. Acta Mechanics Sinica,1992,13(4):185-198.
[5] HU H Y. Primary resonance of a forced oscillator with a pair of symmetric set-up elastic stops[J]. Journal of Sound and Vibration,1992,209(2):358-372.
[6] HU H Y, Dowell E H, Virgin L N. Resonances of a Harmonically forced duffing oscillator with time delay feedback control[J]. Nonlinear Dynamics,1992,15(4):311-327.