Vibration characteristics of an axially moving beam under thermal shocks

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (1) : 8-15.

YANG Xin, CHEN Haibo

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Abstract

The transverse vibration characteristics of an axially moving beam immovably simply supported at both ends and subjected to a thermal shock were studied. Based on Timoshenko beam theory and Hamilton principle, the governing equations of its transverse vibration were established. The transverse vibration problem of the beam was solved by using the differential quadrature method. The effects of thermal shock and axially moving speed on its natural frequencies were analyzed. The results shwoed that among three factors including equivalent thermal axial force, equivalent thermal bending moment and changing of elastic modulus dut to thermal shock, equivalent thermal axial force plays a dominant role to affect natural frequencies of the beam, while changing of elastic modulus and equivalent thermal moment play a secondary role; when the thermal shock loads reach the critical load of the beam, the first order buckling mode is excited; thermal shock and axial moving speed can both reduce natural frequencies of the beam, and their joint action leads to the phenomenon of modal coupling to make the beam easily reach an unstable status.

Key words

Timoshenko beam / thermal shock / axial motion effects / Differential Quadrature Method

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YANG Xin, CHEN Haibo. Vibration characteristics of an axially moving beam under thermal shocks[J]. Journal of Vibration and Shock, 2017, 36(1): 8-15

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