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Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
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Guided waves dispersion equations for orthotropic multilayered pipes solved using standard finite elements code.

Mihai Valentin Predoi1

  • 1Department of Mechanics, University Politehnica Bucharest, Splaiul Independentei 313, Bucharest 060042, Romania.

Ultrasonics
|February 26, 2014
PubMed
Summary

This study presents a semi-analytical finite element method for analyzing guided waves in hollow multilayered cylinders, crucial for composite pipe applications. The method reliably solves complex dispersion curve equations for various wave modes.

Keywords:
Dispersion curvesGuided wavesOrthotropic pipesSemi-analytical finite elements method

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Acoustics

Background:

  • Guided wave analysis in hollow multilayered cylinders is essential for practical applications.
  • Traditional methods struggle with complex materials like orthotropic viscoelastic composites.
  • Existing analytical solutions are difficult to obtain numerically.

Purpose of the Study:

  • To develop a reliable and easy-to-use numerical method for calculating dispersion curves in hollow multilayered cylinders.
  • To address the challenges posed by orthotropic viscoelastic materials in composite pipes.
  • To provide explicit forms for finite element matrices for general-purpose codes.

Main Methods:

  • Utilized the semi-analytical finite element method (FEM).
  • Employed a radial segment model of the pipe's layered structure.
  • Deduced distinct differential eigenvalue problems for longitudinal (L), torsional (T), and flexural (F) modes.

Main Results:

  • Developed eigenvalue problems for L(0,n), T(0,n), and F(m,n) modes.
  • Provided explicit coefficients for FEM matrices.
  • Demonstrated the method's reliability through comparisons with existing solutions for various pipe configurations.

Conclusions:

  • The semi-analytical FEM is a reliable and user-friendly approach for guided wave analysis in complex hollow cylinders.
  • The method accurately models dispersion curves for pipes with viscoelastic materials and coatings.
  • This technique facilitates practical guided wave applications in advanced composite structures.