Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32727
Bifurcation Analysis of Horizontal Platform System

Authors: C. C. Wang, N. S. Pai, H. T. Yau, T. T. Liao, M. J. Jang, C. W. Lee, W. M. Hong


Horizontal platform system (HPS) is popularly applied in offshore and earthquake technology, but it is difficult and time-consuming for regulation. In order to understand the nonlinear dynamic behavior of HPS and reduce the cost when using it, this paper employs differential transformation method to study the bifurcation behavior of HPS. The numerical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, and chaotic responses. Furthermore, the results reveal the changes which take place in the dynamic behavior of the HPS as the external torque is increased. Therefore, the proposed method provides an effective means of gaining insights into the nonlinear dynamics of horizontal platform system.

Keywords: horizontal platform system, differentialtransformation method, chaotic.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1475


[1] A. N. Miliou ´╣É I. P. Antoniades ´╣É S. G. Stavrinides ´╣É and A. N. Anagnostopoulos´╣É"Secure communication by chaotic synchronization: robustness under noisy conditions," Nonlinear Analysis-Real World Applications´╣É vol. 8, pp. 1003-1012´╣ÉJuly 2007.
[2] M. Chen´╣É and W. Min´╣É"Unknown input observer based chaotic secure communication," Physics Letters A´╣É vol. 372, pp. 1595-1600´╣É March 2008.
[3] C. K. Huang´╣É S. C. Tsay´╣É and Y. R. Wu´╣É"Implementation of chaotic secure communication systems based on OPA circuits," Chaos Solitons & Fractals´╣É vol. 23, pp. 589-600´╣ÉJan 2005.
[4] S. C. Tsay´╣É C. K. Huang´╣É D. L. Qiu´╣É and W. T. Chen´╣É"Implementation of bidirectional chaotic communication systems based on Lorenz circuits," Chaos Solitons & Fractals´╣É vol. 20, pp. 567-579´╣É May 2004.
[5] M. Itoh ´╣É "Synthesis of electronic circuits for simulating nonlinear dynamics," International Journal of Bifurcation and Chaos´╣É vol. 11, pp. 605-653´╣ÉMar 2001.
[6] H. H. Chen´╣É"Stability and chaotic dynamics of a perturbed rate gyro," Chaos Solitons & Fractals´╣É vol. 30, pp. 822-835´╣ÉNov 2006.
[7] Z. Wang´╣É and K. T. Chau´╣É"Anti-control of chaos of a permanent magnet DC motor system for vibratory compactors," Chaos Solitons & Fractals´╣É vol. 36, pp. 694-708´╣É May 2008.
[8] C. L. Huang´╣É"Nonlinear Dynamics of the Horizontal Platform," Master of Science in Mechanical Engineering Thesis´╣ÉNCTU´╣É1996.
[9] Z. M. Ge´╣É T. C. Yu´╣É and Y. S. Chen´╣É"Chaos synchronization of a horizontal platform system," Journal of Sound and Vibration´╣É vol. 268, pp. 731-749´╣É Dec 2003.
[10] X. F. Wu´╣É J. P. Cai´╣É and M. H. Wang´╣É"Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control," Journal of Sound and Vibration´╣É vol. 295, pp. 378-387´╣ÉAug 2006.
[11] X. F. Wu´╣É J. P. Cai´╣É and M. H. Wang´╣É"Robust synchronization of chaotic horizontal platform systems with phase difference," Journal of Sound and Vibration´╣É vol. 305, pp. 481-491´╣ÉAug 2007.
[12] J. Y. Lee´╣É"The corresponding phenomena of mechanical and electronic impact oscillator," Journal of Sound and Vibration´╣É vol. 311, pp. 579-587 ´╣ÉMar 2008.
[13] C. C. Wang, and H. T. Yau, "Analysis of nonlinear dynamic behavior of atomic force microscope using differential transformation method," ACTA Mechanica, vol. 198, pp. 87-98, 2008.
[14] C. C. Wang, "Application of a hybrid method to the nonlinear dynamic analysis of a spherical gas journal bearing system," Nonlinear Analysis-Theory Methods & Applications, vol.70, pp. 2035-2053, 2009.
[15] C. C. Wang, "Chaotic analysis and control of microcandilevers with PD feedback using differential transformation method," International Journal of Nonlinear Sciences and Numerical Simulation, vol. 10, pp. 425-444, April 2009.