The article offers the calculation algorithm of deflected mode of an absolutely flexible bar interacting with the external air flow. The algorithm is based on the replacement of the continual mechanical system by the discrete set of rectilinear finite elements and concentrated masses. The authors show differential equations of mass motion with allowance for an aerodynamic load and dissipative forces and integrate them by numerical method. That made it possible to find both the equilibrium position of the flexible bar in the flow, and the critical flow velocity which causes violent bar vibrations in case of its excess.
Sorokin F., Nizametdinov F. Numerical simulation of absolutely flexible bAR motion in the air flow. Маthematical Modeling and Coтputational Methods, 2016, №1 (9), pp. 3-16