Input power flow characteristics of thin eccentric cylindrical shells

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (1) : 32-39.

ZHANG Guan-jun LI Tian-yun ZHU Xiang

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Abstract

According to the geometry characteristics of the cross section of an eccentric cylindrical shell, the eccentric problem was converted into a circumferentially varying thickness problem. The displacements were expanded in double Fourier series in view of the concept of wave propagation and the circumferential thickness was represented as a trigonometric function. Through a series of transformation, the partial differential equations with variable coefficients were converted into a set of linear equations with the circumferential modal parameters coupled with each others. The forced vibration responses of the eccentric cylindrical shell were obtained by solving the coupled equations and then the input power flow was achieved. By comparing with the literature and FEM results, the accuracy the vibration model established and calculation method for the eccentric cylindrical shell was verified. The influences of the parameters, such as the exciting force position, eccentricity, shell thickness and material damping factor on the input power flow of the eccentric cylindrical shell were discussed in detail.

Key words

thin eccentric cylindrical shell / forced vibration / input power flow / eccentricity parameters

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ZHANG Guan-jun LI Tian-yun ZHU Xiang. Input power flow characteristics of thin eccentric cylindrical shells[J]. Journal of Vibration and Shock, 2018, 37(1): 32-39

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