Abstract
In this paper, three-dimensional vibration of fluid-conveying pipes with different initial configurations is investigated. With Green–Lagrange strain tensor, extensible theory, and Plug-flow, governing equations are built by applying Hamiltons principle. The governing partial differential equations are discretized into ordinary differential equations via the differential quadrature method (DQM) and solved numerically to obtain the dynamical character of the different initial configurations. Numerical results show static deflection under different initial geometrical configurations and variation of in-plane and out-of-plane frequencies with increasing fluid velocity. Natural frequency and mode shape are explored under the variation of flow velocity.
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