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A New Methodology for Nonlinear Analysis of Magneto-Rheological Elastomers Behavior Under Large Amplitude Oscillatory Axial (LAOA) Loadings

  • Hossein Vatandoost,
  • Ramin Sedaghati,
  • Subhash Rakheja

摘要

The aim of this chapter is to develop a methodology to quantify the nonlinear response of MREs under LAOA loadings using Chebyshev polynomials of the first kind. This permitted determination of the compression and tension elastic moduli at the minimum, zero, and maximum strain, as alternatives to equivalent linear first harmonic moduli extracted using Fourier transform. The proposed local measures can provide the interpretation of inter- and intra-cycles nonlinearities without observing the stress-strain hysteresis response of MREs under LAOA loadings.