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Waveguide dispersion curves identification at low-frequency using two actuators and phase perturbations.

Yoav Vered1, Ran Gabai1, Izhak Bucher1

  • 1Dynamics Laboratory, Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 3200003, Israel.

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|November 2, 2019
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Summary

This study introduces a novel method for measuring material acoustic properties using fluid-filled elastic tubes. The technique enhances data for ill-posed problems by using dual-actuator phase perturbations, enabling realistic dispersion curve estimation in challenging scenarios.

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Area of Science:

  • Acoustic material characterization
  • Wave propagation in elastic structures
  • Non-destructive testing techniques

Background:

  • Dispersion curves are crucial for non-destructive acoustic material property measurement in elastic tubes.
  • Traditional methods for identifying dispersion curves often require extensive sampling and face numerical challenges with complex tube dynamics.
  • Ill-posed problems in wave propagation analysis limit the accurate determination of material properties.

Purpose of the Study:

  • To develop an enhanced method for identifying dispersion curves in fluid-filled elastic tubes.
  • To overcome the limitations of existing techniques in scenarios with multiple modes or long wavelengths.
  • To enable realistic dispersion curve estimation in previously inaccessible waveguide applications.

Main Methods:

  • Employing multiple boundary phase perturbations at each excitation frequency to enrich data.
  • Utilizing two actuators at opposite ends of the waveguide to generate distinct relative phases.
  • Implementing a nonlinear model fitting procedure for data analysis.
  • Conducting model-based derivation and experimental verification on an air-filled elastic tube.

Main Results:

  • Successfully recovered dispersion curves even with very weak structural-acoustic coupling.
  • Demonstrated capability in low-frequency regimes where traditional methods struggle.
  • Validated the method's effectiveness on an air-filled elastic tube model.
  • Showcased the potential for accurate dispersion curve estimation in challenging acoustic environments.

Conclusions:

  • The proposed method effectively enriches information for ill-posed dispersion curve identification problems.
  • Dual-actuator phase perturbation combined with nonlinear fitting offers a robust solution for acoustic material characterization.
  • This technique expands the applicability of dispersion curve estimation to a wider range of waveguides and conditions, including low frequencies and weak coupling.