A new formulation for buckling analysis in fluid-structure interaction problem

This paper presents the procedure of two dimensional buckling analysis considering fluid-structure interaction. In the formulation, the buckling of thin structures subjected to the pressure of viscous flow is modeled, where the geometrically nonlinear equation and the Navier-Stokes equation should be considered. These equations are solved by the strong coupling formulation and the Newton-Raphson method with the so-called arc-length technique. The buckling load and mode are determined by checking the determinant of stiffness and the scaled corrector method. In order to confirm the validity of the present formulation, the arch subjected to only the static pressure of fluid is analyzed. In the subsequent examples, the effect due to the fluid-structure interaction on the buckling of structure is investigated.