The application of the three-dimensional vortex element method to the fluid dynamic analysis of cylindrical shell elements

A new algorithm for solving coupled aerohydroelasticity problems is presented. The algorithm takes into account the mutual influence between surface vibrations and the vorticity formation in the flow around the surface. This phenomenon is currently described by empirical models. The design of thin-walled structures interacting with a flow requires improved calculation methods. The proposed algorithm implies that the flow parameters and hydrodynamic loads are calculated using the meshfree Lagrangian vortex element method. The dynamics of a shell is modeled by an expansion in terms of natural vibration modes. In a model problem under consideration, a cylindrical shell of small elongation is fixed at the edges and interacts with a three-dimensional incompressible flow. The results of simulation are in good agreement with experimental data. The frequency spectra of the hydrodynamic load acting on a rigid cylinder and shells of different stiffness are analyzed. The results of research confirm that the flexibility of a rigid surface significantly influences the spectrum of a normal force.

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