Analysis of the coupled thermoelastic vibration for axially moving beam

Guo, Xuxia; Wang, Zhongmin; Wang, Yan; Zhou, Yin-Feng

doi:10.1016/j.jsv.2009.03.026

Cited by 28 publications

(16 citation statements)

References 14 publications

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“…The effects of the flowing fluid on the stability of the beam were analyzed. Guo et al [10] studied the stability of an axially moving beam with different boundary conditions under thermal effects using the differential quadrature method. The effects of structural parameters and the moving velocity on the stability of the beam were discussed.…”

Section: Introductionmentioning

confidence: 99%

Reliability and sensitivity analysis of an axially moving beam

Yao

Zhang

2015

Meccanica

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The reliability and sensitivity analysis of an axially moving beam with simply supported boundary conditions are carried out. The equation of motion of the axially moving beam is established by applying the assumed mode method and Hamilton's principle. The critical divergence moving velocity is obtained from analyzing the stability of the kinetic equation of the beam. The uncertainties of the moving velocity, and the structural and material parameters of the beam are taken into account. The probability distribution function of the state function indicating the stability of the beam is approximated by the Edgeworth series, from which the reliability and sensitivity of the beam are obtained. The effects of the mean values and standard variances of the moving velocity, and the structural and the material parameters of the beam on the reliability and sensitivity are conducted. From the results, it can be seen that the reliability decreases with the moving velocity increasing. The reliability of the system decreases with increasing length, and increases with increasing thickness of the beam. The reliability is more sensitive to the thickness than to the length of the beam. The reliability of the beam decreases with increasing mass density, and increases with increasing elastic modulus, showing that the beam with higher specific rigidity and less weight exhibits more stable.

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Section: Introductionmentioning

confidence: 99%

Reliability and sensitivity analysis of an axially moving beam

Yao

Zhang

2015

Meccanica

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“…The beam structures subjected to variable heating induce the cyclic changes in the temperature, which cause vibrations. In the last decades, two kinds of models, which are called uncoupled and coupled models, were proposed to describe the thermally induced vibration problems of beam structures in the literature [10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…The discretization for the heat conduction equation is done by the central difference formulas in the paper. Guo et al [17] explored the coupled thermoelastic vibration characteristics of the axial moving Timoshenko beam and discussed the influences of coupled thermoelastic factors, length-to-height ratio and moving speed on the stability of the Timoshenko beam. Guo et al [17] also assumed that the temperature varies linearly along the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

“…Guo et al [17] explored the coupled thermoelastic vibration characteristics of the axial moving Timoshenko beam and discussed the influences of coupled thermoelastic factors, length-to-height ratio and moving speed on the stability of the Timoshenko beam. Guo et al [17] also assumed that the temperature varies linearly along the thickness direction. According to the assumption and the definition of thermal moment, the coupled two dimension heat conduction equation is changed to a one dimension equation for the thermal moment.…”

Section: Introductionmentioning

confidence: 99%

“…[10][11][12], while for the Timoshenko beam, the temperature distribution of the beam in the direction of the thickness was assumed to vary linearly in the Ref. [15,17]. These assumptions contribute to simplify the thermally induced vibration equations of the beam.…”

Section: Introductionmentioning

confidence: 99%

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