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The chaotic transients of a curved fluid conveying tube subjected to a nonlinearfoundation are investigated. The assumption of the inextensibility of the tube is applied to derivethe nonlinear differential equation of motion via the Newtonian approach, with the differentialquadrature method used to discretize the curved tube model in the spatial domain. And thenonlinear dynamic motion equation is obtained. The numerical analysis shows that, the finalsteady states are sensitive to the initial system conditions in a large parameter region of the fluid speed. This phenomenon of chaotic transients is infrequent for fluid conveying tubes.
The assumption of the inextensibility of the tube is applied to derive the nonlinear differential equation of motion via the Newtonian approach, with the differential method used to discretize the curved tube model in The numerical analysis shows that, the finalsteady states are sensitive to the initial system conditions in a large parameter region of the fluid speed. This phenomenon of chaotic transients is infrequent for fluid conveying tubes.