We analyze theoretically the thermal effect on the dynamics of a damped-cantilever
Timoshenko beam structure, which is featured with cross-sectional temperature gradi-
ents. The thermal effect is incorporated in the dynamic model via the temperature-
dependent elastic modulus and the temperature-gradient-induced thermal force. The
inhomogeneous boundaries introduced by the thermal moment are handled by decom-
posing the total displacement into static and dynamic displacements. In the end,
numerical results based on the analytical solutions are given for a better understanding
of the thermal effect on the dynamic behaviors. The solutions reveal the circumstances in
which thermal eigenvalues should be considered together with the cross-sectional
temperature gradients in predicting thermal vibrations. Moreover, the results also high-
light the role of axial temperature gradients on the dynamic response induced by
equivalent shearing forces.
%0 Journal Article
%1 citeulike:14086700
%A Gu, Lili
%A Qin, Zhaoye
%A Chu, Fulei
%D 2015
%J Mechanical Systems and Signal Processing
%K 74k10-rods 74h45-vibrations 74f05-solid-mechanics-thermal-effects
%P 619--643
%R 10.1016/j.ymssp.2014.11.014
%T Analytical Analysis of the Thermal Effect on Vibrations of a Damped Timoshenko Beam
%U http://dx.doi.org/10.1016/j.ymssp.2014.11.014
%V 60-61
%X We analyze theoretically the thermal effect on the dynamics of a damped-cantilever
Timoshenko beam structure, which is featured with cross-sectional temperature gradi-
ents. The thermal effect is incorporated in the dynamic model via the temperature-
dependent elastic modulus and the temperature-gradient-induced thermal force. The
inhomogeneous boundaries introduced by the thermal moment are handled by decom-
posing the total displacement into static and dynamic displacements. In the end,
numerical results based on the analytical solutions are given for a better understanding
of the thermal effect on the dynamic behaviors. The solutions reveal the circumstances in
which thermal eigenvalues should be considered together with the cross-sectional
temperature gradients in predicting thermal vibrations. Moreover, the results also high-
light the role of axial temperature gradients on the dynamic response induced by
equivalent shearing forces.
@article{citeulike:14086700,
abstract = {{We analyze theoretically the thermal effect on the dynamics of a damped-cantilever
Timoshenko beam structure, which is featured with cross-sectional temperature gradi-
ents. The thermal effect is incorporated in the dynamic model via the temperature-
dependent elastic modulus and the temperature-gradient-induced thermal force. The
inhomogeneous boundaries introduced by the thermal moment are handled by decom-
posing the total displacement into static and dynamic displacements. In the end,
numerical results based on the analytical solutions are given for a better understanding
of the thermal effect on the dynamic behaviors. The solutions reveal the circumstances in
which thermal eigenvalues should be considered together with the cross-sectional
temperature gradients in predicting thermal vibrations. Moreover, the results also high-
light the role of axial temperature gradients on the dynamic response induced by
equivalent shearing forces.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Gu, Lili and Qin, Zhaoye and Chu, Fulei},
biburl = {https://www.bibsonomy.org/bibtex/25dca0d1d2a11c864c9e4f7ee5c2156a6/gdmcbain},
citeulike-article-id = {14086700},
citeulike-attachment-1 = {gu_15_analytical_1075114.pdf; /pdf/user/gdmcbain/article/14086700/1075114/gu_15_analytical_1075114.pdf; 05997b523e4fb0b0ccb6f8888ad545d541c02919},
citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.ymssp.2014.11.014},
comment = {(private-note)circulated by sam},
doi = {10.1016/j.ymssp.2014.11.014},
file = {gu_15_analytical_1075114.pdf},
interhash = {a1fdcc98518f8393ad453a72f6bc956c},
intrahash = {5dca0d1d2a11c864c9e4f7ee5c2156a6},
issn = {08883270},
journal = {Mechanical Systems and Signal Processing},
keywords = {74k10-rods 74h45-vibrations 74f05-solid-mechanics-thermal-effects},
month = aug,
pages = {619--643},
posted-at = {2016-06-30 05:25:37},
priority = {2},
timestamp = {2019-04-16T07:27:22.000+0200},
title = {Analytical Analysis of the Thermal Effect on Vibrations of a Damped {T}imoshenko Beam},
url = {http://dx.doi.org/10.1016/j.ymssp.2014.11.014},
volume = {60-61},
year = 2015
}