, 43:505 | Cite as

Mathematic modeling and characteristic analysis for dynamic system with asymmetrical hysteresis in vibratory compaction



We investigate dynamic characteristics of vibratory compaction system with asymmetrical hysteresis. An asymmetrical model derived from Bouc-Wen differential equation is employed to describe hysteretic behavior of vibration engineering. A practical polynomial expression for hysteretic restoring force is deduced to be substituted into standard equation of the system, assuming that the non-linearity of the restoring force is weak. An asymptotic method, which combines Krylov-Bogolyubov-Mitropolsky (KBM) method with harmonic balance (HB) method, is applied to analyze steady-state responses of the asymmetrical hysteretic system subjected to harmonic excitation. Dynamic responses, such as the restoring force time histories and frequency responses of the system for the first order approximate, are obtained. Furthermore, numerical solution obtained using Runge-Kutta method as well as results of experiments (asphalt compaction on the Beijing-Fuzhou highway) are compared with the asymptotic solution. These results investigated that asymmetrical hysteretic model and the methods applied in this paper are quite appropriate for engineering applications.


Vibratory compaction Asymmetrical hysteresis Bouc-Wen model Asymptotic method Dynamic analysis 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.College of Mechanical Engineering and AutomationFuzhou UniversityFuzhouPeople’s Republic of China

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