Hydrodynamic Force on Vibrating Rectangular Beams

Force acting on a traversly vibrating cylinder of rectangular cross-section in inviscid and incompressible fluid (potential flow solution).

This is a simple implemenatation of the analytical solution for the hydrodynamic fluid force acting on an oscillating cylinder of rectangular cross-section in the inviscid and incompressible case (i.e. solution of the Laplace equation). The solution is taken from Appendix B of:

Brumley, Douglas R., Michelle Willcox, and John E. Sader. "Oscillation of cylinders of rectangular cross section immersed in fluid." Physics of fluids 22.5 (2010): 052001.

At aspect ratios larger than 1000, results are approximated by the asymptotic solution.