Experimental and numerical investigation of parametric resonance of flexible hose conveying non-harmonic fluid flow

The article presents an analysis of a model describing transverse vibrations of an elastic hose induced by non-harmonic fluid flow pulsation. The equation of motion is given as a nonlinear partial differential equation with periodically variable coefficients. The Galerkin method is employed, utilising orthogonal polynomials as shape functions. The effect of selected parameters on increased vibration intensity range and the character and form of vibrations is investigated. It is demonstrated that sub-harmonic and quasi-periodic vibrations can be induced in the simple and combination parametric resonance range. The occurrence of the parametric resonance phenomenon is evidenced by experimental data.