Steady-State Response of a Trilinear Hysteretic System

J. Jin; Y. Zhang; Xiaodong Yang

doi:10.1166/asl.2011.1639

Steady-State Response of a Trilinear Hysteretic System

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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.

Original language	American English
Journal	Advanced Science Letters
DOIs	https://doi.org/10.1166/asl.2011.1639
State	Published - Jan 1 2011

Keywords

Stability
Steady-State Response
Trilinear Model of Hysteresis

Disciplines

Aerospace Engineering
Mechanical Engineering

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10.1166/asl.2011.1639License: Unspecified

https://doi.org/10.1166/asl.2011.1639

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title = "Steady-State Response of a Trilinear Hysteretic System",

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. {\textcopyright} 2011 American Scientific Publishers. All rights reserved.",

keywords = "Stability, Steady-State Response, Trilinear Model of Hysteresis",

author = "J. Jin and Y. Zhang and Xiaodong Yang",

year = "2011",

month = jan,

day = "1",

doi = "10.1166/asl.2011.1639",

language = "American English",

journal = "Advanced Science Letters",

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TY - JOUR

T1 - Steady-State Response of a Trilinear Hysteretic System

AU - Jin, J.

AU - Zhang, Y.

AU - Yang, Xiaodong

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

AB - 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.

KW - Stability

KW - Steady-State Response

KW - Trilinear Model of Hysteresis

UR - https://scholarsmine.mst.edu/mec_aereng_facwork/1846

UR - https://doi.org/10.1166/asl.2011.1639

U2 - 10.1166/asl.2011.1639

DO - 10.1166/asl.2011.1639

M3 - Article

JO - Advanced Science Letters

JF - Advanced Science Letters

ER -

Steady-State Response of a Trilinear Hysteretic System

Abstract

Keywords

Disciplines

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