An alternative linearization approach applicable to hysteretic systems

Hassan Jalali*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


In this paper a method is proposed for equivalent linearization of nonlinear restoring forces being governed by differential equations in weakly nonlinear systems. These types of restoring forces cannot be linearized by employing conventional approximate approaches. Two analytical examples are used to show the accuracy of the proposed method. The application of the method to hysteretic systems is examined by constructing equivalent linear representation for Bouc-Wen model in its general formulation. Numerical investigations reveal that the proposed method is efficient in dynamic behavior analysis of weakly nonlinear hysteretic systems.

Original languageEnglish
Pages (from-to)245-257
Number of pages13
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number1
Publication statusPublished - 1 Jan 2014
Externally publishedYes


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