Investigation of approximate mode shape and transition velocity of pipe conveying fluid in failure analysis

Structures dynamic characteristics and their responses can change due to variations in system parameters. With modal of the structures, be identified. Mode shape remains vital analysis structures. It utilized failure analysis, interaction between structures supports circumvent abrupt failure. Conversely, unlike empty pipes, mode shapes for pipes conveying fluid are tough obtain intricacy eigenvectors. Unfortunately, found practice various engineering applications. Thus, global functions, analyses necessary monitoring reliability avert catastrophic failures. In this work, three techniques obtaining approximate (AMSs) composite fluid, transition velocity relevance were investigated. Hamilton’s principle was employed model pipe discretized using wavelet-based finite element method. The complex obtained by solving generalized eigenvalue problem needed computed. proposed methods validated, applied some results presented highlight effectiveness.