This study investigates the nonlinear dynamic motions of the rotating drill pipe due to the Magnus effect. A three-dimensional fully parameterized beam element based on the absolute nodal coordinate formulation (ANCF) is used to account for the rotary inertia of the rotating pipe model. The rotation of the pipe is imposed through a rotation matrix at the top node and transmitted through the twist of the pipe along its length, therefore accounting for the nonlinear coupling of bending and torsional deformations. In addition, three-dimensional components of hydrodynamics forces in relation to the inflow velocity of water, rotational velocity, and orientation of the pipe were computed using ANSYS Fluent. The obtained forces are applied as an external force vector on the pipe model. Through a comparison of simulation results and experimental results, the applicability of the presented model is confirmed.


During riser-less drilling operations in oil and gas explorations, the rotation of the drill pipe generates lift forces when operating under ocean currents, which is called the Magnus effect as shown in (Fig. 1). The dominant lift force parameters that can influence the Magnus effect are the flow velocity and the rotational velocity of the pipe. Depending on the length of the drill pipes used in the drilling operation, it can be seen that the bending deformation due to Magnus force and the drill pipes can also be assumed as the flexible structures compared to its diameter and length ratio although these pipes are generally made of steel.

Thus, the experimental and numerical studies of the drill pipe due to the Magnus effect were conducted to know the dynamic behaviors of the drill pipe in previous studies (Suzuki et al., 2016, 2018, Inoue et al., 2017b, 2019). Then, the behavior of the rotating drill pipe model in uniform flow was examined and considered for various flow velocities and rotational velocities by (Suzuki et al., 2020, 2022). Besides, the detailed formulation for hydrodynamic force estimation of ANCF beam element was also stated in other studies (Takehara et al., 2011, Nakajima et al., 1983).

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