Nonlinear reduced-order models for thermoelastodynamic response of isotropic and functionally graded panels

R. Perez, X. Q. Wang, Marc Mignolet

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

The focus of this investigation is on the development and validation of thermoelastic reduced-order models for the geometrically nonlinear response and temperature of heated structures. The reduced-order modeling approach is based on a modal-type expansion of both displacements and temperatures in the undeformed, unheated configuration. A set of coupled nonlinear differential equations governing the time-varying generalized coordinates of the response and temperature expansion are derived from finite thermoelasticity using a Galerkin approach. Furthermore, the selection of the basis functions to be used in these reduced-order models is discussed, and the numerical evaluation of the model coefficients is addressed. This approach is first validated on an isotropic beam subjected to both thermal effects and external loads. The thermal effects are large enough to induce a significant buckling of the panel, while the time-varying loads lead to snap-throughs ranging in frequency from infrequent to continuous. Validation to a functionally graded material panel in similar conditions is then performed. In both cases, the reduced-order modeling predicted temperatures and responses are found to very closely match their full finite element counterparts.

Original languageEnglish (US)
Pages (from-to)630-641
Number of pages12
JournalAIAA Journal
Volume49
Issue number3
DOIs
StatePublished - Mar 2011

Fingerprint

Thermal effects
Thermoelasticity
Temperature
Functionally graded materials
Buckling
Differential equations

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Nonlinear reduced-order models for thermoelastodynamic response of isotropic and functionally graded panels. / Perez, R.; Wang, X. Q.; Mignolet, Marc.

In: AIAA Journal, Vol. 49, No. 3, 03.2011, p. 630-641.

Research output: Contribution to journalArticle

@article{176bd40e28dc4061bc22dcd656cd6b35,
title = "Nonlinear reduced-order models for thermoelastodynamic response of isotropic and functionally graded panels",
abstract = "The focus of this investigation is on the development and validation of thermoelastic reduced-order models for the geometrically nonlinear response and temperature of heated structures. The reduced-order modeling approach is based on a modal-type expansion of both displacements and temperatures in the undeformed, unheated configuration. A set of coupled nonlinear differential equations governing the time-varying generalized coordinates of the response and temperature expansion are derived from finite thermoelasticity using a Galerkin approach. Furthermore, the selection of the basis functions to be used in these reduced-order models is discussed, and the numerical evaluation of the model coefficients is addressed. This approach is first validated on an isotropic beam subjected to both thermal effects and external loads. The thermal effects are large enough to induce a significant buckling of the panel, while the time-varying loads lead to snap-throughs ranging in frequency from infrequent to continuous. Validation to a functionally graded material panel in similar conditions is then performed. In both cases, the reduced-order modeling predicted temperatures and responses are found to very closely match their full finite element counterparts.",
author = "R. Perez and Wang, {X. Q.} and Marc Mignolet",
year = "2011",
month = "3",
doi = "10.2514/1.J050684",
language = "English (US)",
volume = "49",
pages = "630--641",
journal = "AIAA Journal",
issn = "0001-1452",
publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",
number = "3",

}

TY - JOUR

T1 - Nonlinear reduced-order models for thermoelastodynamic response of isotropic and functionally graded panels

AU - Perez, R.

AU - Wang, X. Q.

AU - Mignolet, Marc

PY - 2011/3

Y1 - 2011/3

N2 - The focus of this investigation is on the development and validation of thermoelastic reduced-order models for the geometrically nonlinear response and temperature of heated structures. The reduced-order modeling approach is based on a modal-type expansion of both displacements and temperatures in the undeformed, unheated configuration. A set of coupled nonlinear differential equations governing the time-varying generalized coordinates of the response and temperature expansion are derived from finite thermoelasticity using a Galerkin approach. Furthermore, the selection of the basis functions to be used in these reduced-order models is discussed, and the numerical evaluation of the model coefficients is addressed. This approach is first validated on an isotropic beam subjected to both thermal effects and external loads. The thermal effects are large enough to induce a significant buckling of the panel, while the time-varying loads lead to snap-throughs ranging in frequency from infrequent to continuous. Validation to a functionally graded material panel in similar conditions is then performed. In both cases, the reduced-order modeling predicted temperatures and responses are found to very closely match their full finite element counterparts.

AB - The focus of this investigation is on the development and validation of thermoelastic reduced-order models for the geometrically nonlinear response and temperature of heated structures. The reduced-order modeling approach is based on a modal-type expansion of both displacements and temperatures in the undeformed, unheated configuration. A set of coupled nonlinear differential equations governing the time-varying generalized coordinates of the response and temperature expansion are derived from finite thermoelasticity using a Galerkin approach. Furthermore, the selection of the basis functions to be used in these reduced-order models is discussed, and the numerical evaluation of the model coefficients is addressed. This approach is first validated on an isotropic beam subjected to both thermal effects and external loads. The thermal effects are large enough to induce a significant buckling of the panel, while the time-varying loads lead to snap-throughs ranging in frequency from infrequent to continuous. Validation to a functionally graded material panel in similar conditions is then performed. In both cases, the reduced-order modeling predicted temperatures and responses are found to very closely match their full finite element counterparts.

UR - http://www.scopus.com/inward/record.url?scp=79952143058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952143058&partnerID=8YFLogxK

U2 - 10.2514/1.J050684

DO - 10.2514/1.J050684

M3 - Article

VL - 49

SP - 630

EP - 641

JO - AIAA Journal

JF - AIAA Journal

SN - 0001-1452

IS - 3

ER -