Dynamic Stability of an Inclined Fluid-Conveying Pipe with a One-Sided Elastic Support

Pipeline transport is proven to be an efficient method for conveying fluids over long distances, offering benefits such as continuous transport, significant volume capacity, lower energy costs, and substantial environmental advantages. Damage to pipelines could have detrimental effects on the economy, the environment, and pose health and safety risks for the population. The safety issues associated with pipes garner considerable attention in both scientific research and industry. The focus of the current study is on the dynamic stability of a straight fluid-conveying pipe with an elastic support. The investigation is based on the Euler-beam model and involves the use of Laplace and Fourier transformations. The paper draws attention to the stability of inclined pipes, as they haven’t received much attention.