According to the geometry characteristics of the cross section of eccentric cylindrical shell, the eccentric problem is converted into a circumferentially varying thickness problem. The displacements are expanded in double Fourier series in the view of wave propagation and the circumferential thickness is represented as a trigonometric function form. Through a series transformation, the partial differential equations with variable coefficients are converted into a set of linear equations which couple with each other about circumferential modal parameters. The forced vibration responses of the eccentric cylindrical shell are obtained by solving the coupled equations and then the input power flow can be obtained. By comparison with the literature and FEM results, the vibration theory model and calculation method of eccentric cylindrical shell established in this paper are verified to be accurate. The influences of the parameters, such as exciting force positions, eccentricities, shell thicknesses and material damping factors on the input power flow of eccentric cylindrical shell are discussed in detail.
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