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| 1 | NONSTATIONARY EFFECTS ON SAFE BASINS OF A FORCED SOFTENING DUFFING OSCILLATOR显示文摘The safe basin of a forced softening Duffing oscillator is studied numerically.Thechanges of safe basins are observed under both stationary and nonstationary variations of the externalexcitation frequency.The kind of nonstationary variations of the excitation frequency can greatlychange the erosion rate and the shape of the safe basin.The other effects of nonstationary variationson the safe basin are also discussed. | Gan Chunbiao Lu Qishao Huang Kelei | 1998 | Acta Mechanica Solida Sinica1998，11，3： | 5 |
| 2 | Effects of supported angle on stability and dynamical bifurcations of cantilevered pipe conveying fluid显示文摘The effects of the supported angle on the stability and dynamical bifurcations of an inclined cantilevered pipe conveying fluid are investigated. First, a theoretical model of the pipe is developed through the force balance and stress-strain relationship. Second,the response surfaces, stability, and critical lines of the typical hanging system(H-S) and standing system(S-S) are discussed based on the modal analysis. Last, the bifurcation diagrams of the pipe are presented for different supported angles. It is shown that pipes will undergo a series of bifurcation processes and show rich dynamic phenomena such as buckling, Hopf bifurcation, period-doubling bifurcation, chaotic motion, and divergence motion. | Chunbiao GAN Shuai JING Shixi YANG Hua LEI | 2015 | Applied Mathematics and Mechanics(English Edition)2015，36，6： | 2 |
| 3 | Torus break-down and noise-induced dynamics in the randomlydriven morse oscillator 显示文摘 | Gan Chunbiao Wang Qingyun Perc M | 2010 | Journal of Physics A-Mathematical and Theoretical2010，43，12： | 1 |
| 4 | Longitudinalwave propagation in a rod with variable cross-section显示文摘 | Gan Chunbiao Wei Yimin Yang Shixi | 2014 | Journal of Sound and Vibration2014，333，2： | 1 |
| 5 | Longitudinalwave propagation in a multi-step rod with variablecross-section显示文摘 | Gan Chunbiao Wei Yimin Yang Shixi | 2014 | Journal of Vibration and Control2014，，： | 1 |
| 6 | Noise - induced Chaos in a Quadratically Nonlinear Oscillator显示文摘 | Chunbiao Gan | 2006 | Chaos Solitons and Fractals2006，30，： | 1 |
| 7 | Torsion- al vibration measurements on rotating shaft system u- sing laser doppler vibrometer显示文摘 | XIANG Ling YANG Shixi GAN Chunbiao | 2012 | Optics and Lasers in Engineering2012，50，15： | 1 |
| 8 | A new proce-dure of extracting fault feature of multi-frequency sig-nal from rotating machinery显示文摘 | Xiong Xin Yang Shixi Gan Chunbiao | 2012 | Mechanical Systemsand Signal Processing2012，32，： | 1 |
| 9 | Torsional vibra-tion measurements on rotating shaft system using laser Doppler vibrometer 显示文摘 | XIANG Ling YANG Shixi GAN Chunbiao | 2012 | Optics and Lasers in Engineering2012，50，11： | 1 |
| 10 | Noise-induced chaos and basin erosion in softening Duffing oscillator显示文摘 | Gan Chunbiao | 2005 | Chaos Solitons and Fractals2005，25，5： | 1 |
| 11 | Studies on structural safety in stochastically excited Duffing oscillator with double potential wells显示文摘结构的安全上的 Gaussian 白噪音刺激的效果在现在的纸由于在与两倍潜在的井未击中振荡器的安全的盆的侵蚀被学习。由采用开发得好的随机的 Melnikov 条件和蒙特卡罗方法,各种各样的侵蚀的盆在系统的确定、随机的盒子中被模仿,并且安全的起始的点(RSIP ) 的比率在系统的 Hamiltonian 为各种各样的参数或第一经过的时间定义的某给定的有限领域被介绍。噪音刺激什么时候在系统上被强加,被显示出结构的安全控制变得更困难,并且分数维的盆边界可以也出现系统什么时候仅仅由 Gaussian 白人噪音是激动的。从在给定的有限领域的 RSIP 结果,当系统由泛音或随机的力量是激动的时,在 RSIP 曲线的突然的不连续的降下可以发生,鉴于第一经过的问题,它与惯常的连续的不同。另外,发现价值能甚至与增加增加的那 RSIP 当 Gaussian 白噪音也是在系统的现在时,驾驶外部泛音刺激的振幅有趣。 | Chunbiao Gan Shimin He | 2007 | Acta Mechanica Sinica2007，23，5： | 1 |
| 12 | First-passage failure of quasi-non-integrable-Hamiltonian systems显示文摘 | GAN Chunbiao ZHU Weiqiu | | 0，，2： | 1 |
| 13 | Noise-induced chaos and basin erosion in softening Dulling oscillator显示文摘 | Gan Chunbiao | 2005 | Chaos Soiltons and Fractals2005，25，5： | 1 |
| 14 | Noise-induced chaos in Duffing oscillator with double wells显示文摘 | Chunbiao Gan | 2006 | Nonlinear Dynamics2006，45，34： | 1 |
| 15 | Pseudo-periodic surrogate test to sample time series in stochastic softening Duffing oscillator显示文摘 | Chunbiao Gan | 2006 | Physics Letters A2006，357，3： | 1 |
| 16 | Stochastic dynamical analysis of a kind of vibro-impact system under muitiple harmonic and random excitations显示文摘 | Gan Chunbiao Lei Hua | 2011 | Journal of Sound and Vibration2011，330，： | 1 |
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