Recovery of distribution of relaxation and retardation times by measuring amplitudes to multi-harmonic excitations

  • Authors:
  • Vairis Shtrauss;Aldis Kalpinsh

  • Affiliations:
  • Institute of Polymer Mechanics, University of Latvia, Riga, Latvia;Institute of Polymer Mechanics, University of Latvia, Riga, Latvia

  • Venue:
  • Proceedings of the 15th WSEAS international conference on Systems
  • Year:
  • 2011

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Abstract

The paper is devoted to simplifying measurement of the distribution of relaxation and retardation times (DRRT) by determining DRRT from the modulus (absolute value) of a complex frequency-domain material function. It is demonstrated that the problem may be interpreted as a filtering task on the logarithmic frequency scale having a diffuse frequency response bounded by the responses of the filters corresponding to the cases with the minimum (zero) and maximum imaginary parts according to the Kronig-Kramers relation. A discrete-time deconvolution filter operating with geometrically sampled data is designed for recovering DRRT from the modulus and the simulation results are presented. A measurement system is proposed implementing the principle of DRRT recovery through the modulus, where a material under test is subjected to multiharmonic excitation at frequencies distributed according to geometric progression with subsequent measuring the amplitudes of the multi-harmonic responses and processing them by a discrete-time DRRT recovery filter.