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