Analysis of the vibrationally induced dissipative heating of thin-wall structures containing piezoactive layers

I. A. Guz, Y. A. Zhuk, C. M. Sands

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

strongly non-linear dynamic problem of thermomechanics for multilayer beams is formulated based on the Kirchhoff–Love hypotheses. In the case of harmonic loading, a simplified formulation is given using a single-frequency approximation and the concept of complex moduli to characterise the non-linear cyclic properties of the material. As an example, the problem of forced vibrations and dissipative heating of a roller-supported layered beam containing piezoactive layers is solved. Different aspects of thermal, mechanical and electric responses to the mechanical and electric excitations are addressed. Dissipative heating due to electromechanical losses in the three-layer beam with piezoelectric layers is studied. It is assumed that the structure fails if the temperature exceeds the Curie point for piezoceramics. Using this criterion, the fatigue life of the structure is estimated. Limitations of the approximate monoharmonic approach are also specified.

Original languageEnglish
Pages (from-to)105-116
Number of pages12
JournalInternational Journal of Non-Linear Mechanics
Volume47
Issue number2
Early online date21 Mar 2011
DOIs
Publication statusPublished - Mar 2012

Fingerprint

Heating
Electric excitation
Thermomechanics
Piezoceramics
Forced Vibration
Multilayers
Fatigue Life
Fatigue of materials
Dynamic Problem
Nonlinear Dynamics
Multilayer
Nonlinear Problem
Modulus
Exceed
Harmonic
Excitation
Formulation
Approximation
Temperature
Hot Temperature

Keywords

  • forced vibration
  • piezoelectric material
  • complex moduli
  • layered thin-wall structure
  • roller-supported beam
  • fatigue life

Cite this

Analysis of the vibrationally induced dissipative heating of thin-wall structures containing piezoactive layers. / Guz, I. A.; Zhuk, Y. A.; Sands, C. M.

In: International Journal of Non-Linear Mechanics, Vol. 47, No. 2, 03.2012, p. 105-116.

Research output: Contribution to journalArticle

@article{0535710bb5cc4dc9922cb12a95e9277d,
title = "Analysis of the vibrationally induced dissipative heating of thin-wall structures containing piezoactive layers",
abstract = "strongly non-linear dynamic problem of thermomechanics for multilayer beams is formulated based on the Kirchhoff–Love hypotheses. In the case of harmonic loading, a simplified formulation is given using a single-frequency approximation and the concept of complex moduli to characterise the non-linear cyclic properties of the material. As an example, the problem of forced vibrations and dissipative heating of a roller-supported layered beam containing piezoactive layers is solved. Different aspects of thermal, mechanical and electric responses to the mechanical and electric excitations are addressed. Dissipative heating due to electromechanical losses in the three-layer beam with piezoelectric layers is studied. It is assumed that the structure fails if the temperature exceeds the Curie point for piezoceramics. Using this criterion, the fatigue life of the structure is estimated. Limitations of the approximate monoharmonic approach are also specified.",
keywords = "forced vibration, piezoelectric material, complex moduli, layered thin-wall structure, roller-supported beam, fatigue life",
author = "Guz, {I. A.} and Zhuk, {Y. A.} and Sands, {C. M.}",
year = "2012",
month = "3",
doi = "10.1016/j.ijnonlinmec.2011.03.004",
language = "English",
volume = "47",
pages = "105--116",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier Limited",
number = "2",

}

TY - JOUR

T1 - Analysis of the vibrationally induced dissipative heating of thin-wall structures containing piezoactive layers

AU - Guz, I. A.

AU - Zhuk, Y. A.

AU - Sands, C. M.

PY - 2012/3

Y1 - 2012/3

N2 - strongly non-linear dynamic problem of thermomechanics for multilayer beams is formulated based on the Kirchhoff–Love hypotheses. In the case of harmonic loading, a simplified formulation is given using a single-frequency approximation and the concept of complex moduli to characterise the non-linear cyclic properties of the material. As an example, the problem of forced vibrations and dissipative heating of a roller-supported layered beam containing piezoactive layers is solved. Different aspects of thermal, mechanical and electric responses to the mechanical and electric excitations are addressed. Dissipative heating due to electromechanical losses in the three-layer beam with piezoelectric layers is studied. It is assumed that the structure fails if the temperature exceeds the Curie point for piezoceramics. Using this criterion, the fatigue life of the structure is estimated. Limitations of the approximate monoharmonic approach are also specified.

AB - strongly non-linear dynamic problem of thermomechanics for multilayer beams is formulated based on the Kirchhoff–Love hypotheses. In the case of harmonic loading, a simplified formulation is given using a single-frequency approximation and the concept of complex moduli to characterise the non-linear cyclic properties of the material. As an example, the problem of forced vibrations and dissipative heating of a roller-supported layered beam containing piezoactive layers is solved. Different aspects of thermal, mechanical and electric responses to the mechanical and electric excitations are addressed. Dissipative heating due to electromechanical losses in the three-layer beam with piezoelectric layers is studied. It is assumed that the structure fails if the temperature exceeds the Curie point for piezoceramics. Using this criterion, the fatigue life of the structure is estimated. Limitations of the approximate monoharmonic approach are also specified.

KW - forced vibration

KW - piezoelectric material

KW - complex moduli

KW - layered thin-wall structure

KW - roller-supported beam

KW - fatigue life

U2 - 10.1016/j.ijnonlinmec.2011.03.004

DO - 10.1016/j.ijnonlinmec.2011.03.004

M3 - Article

VL - 47

SP - 105

EP - 116

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

IS - 2

ER -