Vibration analysis of thin-walled pipes with circular axis using the Generalized Beam Theory

Habtemariam, Abinet K.; Tartaglione, Fabiola; Zabel, Volkmar; Könke, Carsten; Bianco, Marcelo J.

doi:10.1016/j.tws.2021.107628

Cited by 14 publications

(2 citation statements)

References 24 publications

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“…Gbadeyan and Adeniran [35] utilized the Variational Iteration Method (VIM) to analyse free vibration and stability in non-uniform fluid-conveying pipes resting on a two-parameter foundation. Lastly, Habtemariam et al [36] introduced the Generalized Beam Theory (GBT) for the dynamic analysis of curved thin-walled pipes, providing insights into the coupling of various deformation modes in such pipes. These research efforts collectively contribute to our understanding of the complex dynamics involved in fluid-conveying pipes, addressing a wide range of boundary conditions, material properties, and flow scenarios.…”

Section: Literature Reviewmentioning

confidence: 99%

Dynamics of Fluid Flow in Functionally Graded Tapered Pipes on Elastic Foundations

Rajasekaran

2024

Preprint

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Flow-induced vibration is a common phenomenon in fluid dynamics, finding applications from aeroelasticity to blood flow in arteries. This study presents a finite element formulation as well as Galerkn's method for analysing the free and forced vibration of pipes that carry either harmonically pulsating or uniform flows. Relevant finite element matrices and coefficients of Galerkin's method are derived to address dynamic and stability issues. Notably, the damping and stiffness matrices are shown to vary with time. Galerkin's approach is also employed to validate the results obtained through the finite element method. Furthermore, this research explores the dynamic and stable behaviour of pipes with various boundary conditions, such as simply supported, clamped, propped cantilever and cantilever pipes resting on elastic foundations. Additionally, it addresses the problems related to axially functionally graded tapered pipes conveying either Newtonian or non-Newtonian flows. The Connors critical velocity is also discussed as a measure of initiating fluid-induced instability. It is observed that the natural frequency and critical velocity increase with the flow index, Winkler foundation stiffness and mass ratio. Several numerical examples are provided to validate the applied methodologies. Overall, this research contributes valuable insights into the complex interactions between flow and vibration in various pipe configurations with practical implications across multiple engineering disciplines.

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Section: Literature Reviewmentioning

confidence: 99%

Dynamics of Fluid Flow in Functionally Graded Tapered Pipes on Elastic Foundations

Rajasekaran

2024

Preprint

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“…Finally, the linear dynamic case was addressed in [13]. For thinwalled pipes with circular axis, the first-order formulation was presented in [14] and the vibration case in [15]. This paper presents the extension of the authors' previous work to the linear stability analysis case (calculation of bifurcation loads and associated mode shapes).…”

Section: Introductionmentioning

confidence: 99%

GBT‐based Stability Analysis of Thin‐walled Members with Circular Axis

Peres¹,

Gonçalves²,

Camotim³

2022

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This paper presents a newly developed extension of the linear Generalised Beam Theory (GBT) formulation for members with circular axis, previously developed by the authors, to the linear stability analysis case. This extension incorporates the classic GBT kinematic assumptions, which ensure efficiency without sacrificing its accuracy. The finite element implementation of the proposed formulation makes it possible to calculate bifurcation loads and associated buckling mode shapes of members with circular axis and arbitrary flat‐walled cross‐sections, undergoing global‐distortional‐local deformation, with great accuracy and computational savings (with respect to refined shell finite element models). Moreover, it is shown that the remarkable GBT modal decomposition features, stemming from the fact that the kinematic description of the beam is based on a superposition of structurally meaningful cross‐section deformation modes, enable an in‐depth insight into the nature of the buckling modes in curved members.

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