Green’s function approach to inhomogeneous Lamb problem: response to a sudden impulse

Document Type : Full length research Paper

Author

Research Institute for Astronomy and Astrophysics of Maragha (RIAAM) University of Maragheh, Maragheh, Iran

Abstract

The response of the oscillator in a Lamb problem made of two semi-infinite strings of different mass densities to a sudden impulse is obtained using the Green’s function method. It is shown that after delivering the impulse, the oscillator emits decaying waves along both sides of the string leading to the radiation damping for the oscillator. It is pointed out that for the oscillator coupled at the joining point of the strings, the damping factor of the wave is proportional to the sum of the impedances of the strings. When the difference between the densities vanishes, the result is in agreement with the result known for the homogeneous model.

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References

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https://doi.org/10.1007/3-540-28841-4
Journal of Research on Many-body Systems
Volume 12, Issue 3 - Serial Number 34
autumn 2022
December 2022
Pages 1-8

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History

  • Receive Date: 08 May 2021
  • Revise Date: 20 July 2022
  • Accept Date: 14 November 2022

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