Analytical modelling of the transient dynamics of pipes with flowing medium

Abstract

The primary purpose of this work is to present an innovative approach to investigate the effect of a flowing medium on the transient response of a simply supported pipe due to impulsively applied loading. The importance of this problem is manifested in numerous applications in the field of transportation and power energy. In this paper we describe a simplified mathematical model of the pipe-filled-medium interactions adopting the classical Bernoulli-Euler beam theory. Further we develop an analytical procedure based on the perturbation method to analyse the dynamic response of the system due to an impulse loading and consider particular cases of the applied loading.