Chaotic Behavior of a Symmetric Laminate With Transient Thermal FieldSource: Journal of Vibration and Acoustics:;2006:;volume( 128 ):;issue: 004::page 429Author:Xiaoling He
DOI: 10.1115/1.2128646Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A symmetric isotropic laminate in a simply supported boundary condition is analyzed for its nonlinear dynamic response subjected to a nonuniform transient thermal field. The equation of motion of a modified Duffing type in a decoupled modal form is obtained for both orthotropic and isotropic symmetric laminate from the reduction of the governing equation of motion by using a Galerkin-type method. Thermally induced nonlinear response and thermal mechanically induced response are investigated in a multimode analysis. The influence of the transient thermal field is found to cause drastically different modal response from that due to the steady-state thermal field. Chaos is found being induced by the transient in-plane thermal field, or by both transient in-plane and transverse thermal fields. Unique bifurcation behavior is observed with different thermal frequencies. Different loading levels can cause transition between chaos and quasi-periodic oscillations.
keyword(s): Temperature , Laminates , Stress , Equations of motion , Deflection , Chaos , Oscillations , Equations , Boundary-value problems AND Frequency ,
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contributor author | Xiaoling He | |
date accessioned | 2017-05-09T00:22:07Z | |
date available | 2017-05-09T00:22:07Z | |
date copyright | August, 2006 | |
date issued | 2006 | |
identifier issn | 1048-9002 | |
identifier other | JVACEK-28881#429_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/134926 | |
description abstract | A symmetric isotropic laminate in a simply supported boundary condition is analyzed for its nonlinear dynamic response subjected to a nonuniform transient thermal field. The equation of motion of a modified Duffing type in a decoupled modal form is obtained for both orthotropic and isotropic symmetric laminate from the reduction of the governing equation of motion by using a Galerkin-type method. Thermally induced nonlinear response and thermal mechanically induced response are investigated in a multimode analysis. The influence of the transient thermal field is found to cause drastically different modal response from that due to the steady-state thermal field. Chaos is found being induced by the transient in-plane thermal field, or by both transient in-plane and transverse thermal fields. Unique bifurcation behavior is observed with different thermal frequencies. Different loading levels can cause transition between chaos and quasi-periodic oscillations. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Chaotic Behavior of a Symmetric Laminate With Transient Thermal Field | |
type | Journal Paper | |
journal volume | 128 | |
journal issue | 4 | |
journal title | Journal of Vibration and Acoustics | |
identifier doi | 10.1115/1.2128646 | |
journal fristpage | 429 | |
journal lastpage | 438 | |
identifier eissn | 1528-8927 | |
keywords | Temperature | |
keywords | Laminates | |
keywords | Stress | |
keywords | Equations of motion | |
keywords | Deflection | |
keywords | Chaos | |
keywords | Oscillations | |
keywords | Equations | |
keywords | Boundary-value problems AND Frequency | |
tree | Journal of Vibration and Acoustics:;2006:;volume( 128 ):;issue: 004 | |
contenttype | Fulltext |