Steady-State Response of a Trilinear Hysteretic System

Author

J. Jin
Y. Zhang
Xiaodong Yang, Missouri University of Science and TechnologyFollow

Abstract

A trilinear model of hysteresis is presented. The steady-state response is analyzed for a one-degree-of-freedom trilinear hysteretic system subjected to a sinusoidal excitation using the method of slowly varying parameters. The results obtained show that the system exhibits unbounded amplitude responses when the amplitude of excitation is large enough and certain critical value is reached. The steady-state response of the system is always stable and single-valued, hence, the jump phenomenon of amplitude can not occur in this system. © 2011 American Scientific Publishers. All rights reserved.

Recommended Citation

J. Jin et al., "Steady-State Response of a Trilinear Hysteretic System," Advanced Science Letters, American Scientific Publishers, Jan 2011.

The definitive version is available at https://doi.org/10.1166/asl.2011.1639

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Stability; Steady-State Response; Trilinear Model of Hysteresis

International Standard Serial Number (ISSN)

1936-6612

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2011 American Scientific Publishers, All rights reserved.

Publication Date

01 Jan 2011