%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 }