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3 results for “non-uniform beam”
Figures, plotting scripts, and data for "Resolving non-uniform temperature distributions with single-beam absorption spectroscopy. Part I: Theoretical capabilities and limitations"
<p>This dataset contains the necessary materials to recreate the figures in "Resolving nonuniform temperature distributions with single-beam absorption spectroscopy: Part I: Theoretical capabilities and limitations."</p> <p>The code included in this dataset is released under the BSD 3-Clause License. The figures are shared under the Creative Commons Attribution 4.0 International License (CC BY 4.0, https://creativecommons.org/licenses/by/4.0/).</p>
Data from: Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts
In this paper, we look for non-uniform Rayleigh beams isospectral to a given uniform Rayleigh beam. Isospectral systems are those that have the same spectral properties, i.e. the same free vibration natural frequencies for a given boundary condition. A transformation is proposed that converts the fourth-order governing differential equation of non-uniform Rayleigh beam into a uniform Rayleigh beam. If the coefficients of the transformed equation match with those of the uniform beam equation, then the non-uniform beam is isospectral to the given uniform beam. The boundary-condition configuration should be preserved under this transformation. We present the constraints under which the boundary configurations will remain unchanged. Frequency equivalence of the non-uniform beams and the uniform beam is confirmed by the finite-element method. For the considered cases, examples of beams having a rectangular cross section are presented to show the application of our analysis.
Data from: Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts
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