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Analysis of Spatial Steady-State Vibrations of a Layered Anisotropic Plate Using the Green’s Functions

[+] Author Affiliations
Alexander Karmazin, Evgenia Kirillova

RheinMain University of Applied Sciences, Wiesbaden, Germany

Wolfgang Seemann

Karlsruhe Institute of Technology, Karlsruhe, Germany

Pavel Syromyatnikov

Kuban State University, Krasnodar, Russia

Paper No. ESDA2010-25430, pp. 403-410; 8 pages
doi:10.1115/ESDA2010-25430
From:
  • ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
  • ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 2
  • Istanbul, Turkey, July 12–14, 2010
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4916-3 | eISBN: 978-0-7918-3877-8
  • Copyright © 2010 by ASME

abstract

Spatial steady-state harmonic vibrations of a layered anisotropic plate excited by the distributed sources are considered. The work is based on the classical methods of the integral Fourier transforms and integral representations of the Green’s functions. In Fourier transform domain, the displacement vector is represented in terms of the Green’s matrix transform and the transform of the surface load vector. The two-dimensional inverse Fourier transform of the displacement vector is computed by reducing double integral to the iterated one with integrating along a contour, which deviates from the real axis while bypassing the real poles, and with subsequent integrating along the wave propagation angle. Three numerical algorithms of computing related iterated integrals are presented. The features of the application of these algorithms for the near- and far-field zones of the source are discussed. All of presented methods are compared for the numerical examples of vibrations on the surface of 24-layer symmetrical composite.

Copyright © 2010 by ASME

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