Solving coupled beam-fluid interaction by DTM

Rezaiee‐Pajand, Mohammad; Kazemiyan, M. S.

doi:10.1016/j.oceaneng.2018.04.020

Cited by 9 publications

(1 citation statement)

References 52 publications

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“…Employing the DTM, a method renowned for its reported accuracy and low computational complexity, the study discussed outputs such as mode shapes and frequencies concerning diverse parameters and boundary conditions. Additionally, Rezaiee-Pajand et al utilized the Euler–Bernoulli theory for their beam analysis 26 .…”

Section: Introductionmentioning

confidence: 99%

Dynamic examination of closed cylindrical shells utilizing the differential transform method

Khosravi,

Shahabian,

Aftabi Sani

2024

Sci Rep

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This article presents an innovative approach using the Differential Transform Method (DTM) to analyze the vibration characteristics of cylindrical shells, integrating Taylor's series with Sander's classical theory. It demonstrates DTM's efficiency, accuracy, and potential as an alternative method. The study introduces a novel application of the DTM in exploring the free vibration of cylindrical shells, detailing a technique to address challenges such as normalization, linear solution methodologies, and parameter derivative modifications. A dimensionless parameter analysis evaluates the impact of length, radius, thickness, and modulus of elasticity. Comparative analysis with Hybrid Finite Element Method (FEM) data and validation against existing literature highlights DTM's precision and reliability. In conclusion, DTM offers a robust solution for the eigenvalue problem in coupled differential equations, providing accurate vibration parameters. Additionally, an important relationship between the modulus of elasticity and frequency in the dimensionless state was obtained.

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Section: Introductionmentioning

confidence: 99%