Equivalent Linearization of Bouc–Wen Hysteretic Model with Harmonic Input

  • G. ChakrabortyEmail author
Original Contribution


Equivalent linear stiffness and damping coefficient are calculated for the Bouc–Wen hysteretic model with the input as a harmonic function. Analytical estimates of these quantities are provided after constructing the hysteretic loops. For two cases, the hysteretic loops are found in closed form, and for the other cases limiting forms of the loops under high amplitude and low amplitude excitations are studied. Correct scaling laws for the equivalent parameters are derived analytically which are subsequently verified by numerical simulation.


Bouc–Wen hysteresis model Equivalent linearization Harmonic balance method Scaling laws 



The author wishes to gratefully acknowledge the help taken from Mr. Sourav Ganguly of Jadavpur University, India, in carrying out numerical simulation.


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Copyright information

© The Institution of Engineers (India) 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringIndian Institute of Technology KharagpurKharagpurIndia

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