NONLINEAR DYNAMICS OF MOTION OF A CYLINDRICAL BODY WITH ELASTIC CONNECTION IN A VISCOUS CONTINUUM

Abstract

Due to the construction of the Lagrange function L and calculated dissipative function a general system of dynamic equations describing the motion a cylindrical body completely immersed in the fluid is obtained. Its fixation is expected to be hinged at one end, where the origin is selected. The free end can perform virtually any movement and is resiliently held at an arbitrary point by a spring. The problem is solved in a spherical coordinate system r, θ, ϕ, in which differential equations of motion are derived by using two independent angular variables θ and ϕ taking into account the viscosity of the continuum η.