Nonlinearity system identification method with parametric excitation based on the incremental harmonic balance method

doi:10.6052/0459-1879-2010-2-2008-770

Chinese Journal of Theoretical and Applied Mechani ›› 2010, Vol. 42 ›› Issue (2): 332-336.DOI: 10.6052/0459-1879-2010-2-2008-770

• Brief Report • Previous Articles Next Articles

Nonlinearity system identification method with parametric excitation based on the incremental harmonic balance method

Suguang Dou Min Ye Wei Zhang

School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China

Received:2008-12-17 Revised:2009-04-22 Online:2010-03-18 Published:2010-03-18

Abstract

Abstract: In this paper, the incremental harmonic balance for nonlinearity identification (IHBNID) is presented for the modeling and parametric identification of nonlinear systems. The effects of harmonic balance nonlinearity identification (HBNID) and IHBNID are also studied and compared by using the numerical simulation. Considering the Mathieu-Duffing equation as an example, the effectiveness of the IHBNID can be verified. With the aid of the new method, the derivation procedures of the incremental harmonic balance method are simplified. The results show that the IHBNID is highly efficient for computation, and its performances excel in those of the HBNID, such as the computation accuracy and the noise resistance.

Key words: nonlinearity identification, incremental harmonic balance, parametric excitation, nonlinear system

Suguang Dou Min Ye Wei Zhang. Nonlinearity system identification method with parametric excitation based on the incremental harmonic balance method[J]. Chinese Journal of Theoretical and Applied Mechani, 2010, 42(2): 332-336.

[1]	Si Zhen, Qian Yingjing, Yang Xiaodong, Zhang Wei. HOVERING ORBITS DESIGN FOR PERTURBED ASTEROIDS WITH PARAMETRIC EXCITATION RESONANCE ¹⁾ [J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1774-1788.
[2]	Ma Xindong, Jiang Wenan, Zhang Xiaofang, Han Xiujing, Bi Qinsheng. COMPLICATED BURSTING BEHAVIORS AS WELL AS THE MECHANISM OF A THREE DIMENSIONAL NONLINEAR SYSTEM ¹⁾ [J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1789-1799.
[3]	Xun Guangbin, Peng Haijun, Wu Shunan, Wu Zhigang. DUAL VARIABLE VARIATIONAL METHOD FOR NONLINEAR LEAST SQUARES SHADOWING PROBLEM [J]. Chinese Journal of Theoretical and Applied Mechani, 2016, 48(5): 1202-1207.
[4]	Deng Yang, Peng Zhike, Yang Yang, Zhang Wenming, Meng Guang. IDENTIFICATION OF NONLINEAR VIBRATION SYSTEMS BASED ON PARAMETRIC TFA [J]. Chinese Journal of Theoretical and Applied Mechani, 2013, 45(6): 992-996.
[5]	Zhu Chenzhong, Ye Min. RESEARCH OF DYNAMIC EXPERIMENTAL MODELING FOR NONLINEAR STRUCTURE UNDER PARAMETRIC AND FORCED EXCITATION [J]. Chinese Journal of Theoretical and Applied Mechani, 2013, 45(1): 116-128.
[6]	Su Luanming, Ye Min. PARAMETRIC INDENTIFICATION FOR HIGH-DIMENSIONAL NONLINEAR VIBRATION SYSTEM [J]. Chinese Journal of Theoretical and Applied Mechani, 2012, 44(2): 425-436.
[7]	Wenming Zhang Guang Meng Kexiang Wei. Dynamic characteristics of electrostatically actuated mems under parametric excitations [J]. Chinese Journal of Theoretical and Applied Mechani, 2009, 41(2): 282-288.
[8]	,,. Nonlinear dynamic stability for piezoelectric laminated plates with damage [J]. Chinese Journal of Theoretical and Applied Mechani, 2006, 38(4): 570-576.
[9]	,,,. One local bifurcation of nonlinear system based on magnetorheological damper [J]. Chinese Journal of Theoretical and Applied Mechani, 2004, 36(5): 564-568.
[10]	,,. Periodic and chaotic oscillation of a parametrically excited viscoelastic moving belt with 1:3 internal resonance [J]. Chinese Journal of Theoretical and Applied Mechani, 2004, 36(4): 443-454.
[11]	,,. ON CO-DIMENSION 2 BIFURCATION SYSTEM EXCITED PARAMETRICALLY BY WHITE NOISES [J]. Chinese Journal of Theoretical and Applied Mechani, 1997, 29(5): 563-572.
[12]	,. ON THE HOPF BIFURCATION SYSTEM IN THE PRESENCE OF PARAMETRIC REAL NOISES [J]. Chinese Journal of Theoretical and Applied Mechani, 1997, 29(2): 158-166.
[13]	,. ASYMPTOTIC METHOD FOR PRIMARY RESONANCE OF A STRONGLY NONLINEAR VIBRATION SYSTEM WITH MANY DEGREES OF FREEDOM [J]. Chinese Journal of Theoretical and Applied Mechani, 1995, 27(5): 577-586.
[14]	. STATIONARY SOLUTIONS OF STOCHASTICALLY EXCITED DISSIPATIVE HAMILTONIAN SYSTEMS [J]. Chinese Journal of Theoretical and Applied Mechani, 1993, 25(6): 676-684.
[15]	,. BIFURCATIONS OF NONLINEAR OSCILLATION SYSTEM UNDER COMBINED PARAMETRIC AND FORCING EXCITATION [J]. Chinese Journal of Theoretical and Applied Mechani, 1991, 23(4): 464-474.

Nonlinearity system identification method with parametric excitation based on the incremental harmonic balance method

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments