This paper describes a development of a method which improves the computational efficiency for a linear stability analysis of a plate in an uniform incompressible and irrotational flow. We introduce the Fourier multiplier operator to formulate the fluid and plate interaction problem with the mixed boundary condition. In previous typical approaches, a singular integral equation often appears in the formulation of a pressure distribution on the plate. The computation time for solving the integral equation is one of the problem encountered in the stability analysis. Applying the Fourier multiplier operator to this system, the equation of the plate-fluid interaction problem can be formulated with a pair of the Fourier and the inverse Fourier transforms. Moreover, the integration to derive the equations of motion can be efficiently carried out by using the discrete Fourier transform.
Stability Analysis of Rectangular Plates in Incompressible Flow With Fourier Multiplier Operators
- Views Icon Views
- Share Icon Share
- Search Site
Hara, K, & Watanabe, M. "Stability Analysis of Rectangular Plates in Incompressible Flow With Fourier Multiplier Operators." Proceedings of the ASME 2013 Pressure Vessels and Piping Conference. Volume 4: Fluid-Structure Interaction. Paris, France. July 14–18, 2013. V004T04A044. ASME. https://doi.org/10.1115/PVP2013-97525
Download citation file: