Fuzzy Evaluations For Kinematic Characteristics of Nonlinear Second Harmonics of Shear Waves in Transversely Isotropic Elastic Medium
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NTU "KhPI"
Abstract
The analytic representation for the amplitude characteristics of the nonlinear second harmonic of horizontally
polarized bulk shear waves is obtained in transversely isotropic elastic medium. With the use of heuristic
principle of generalization in the fuzzy sets theory a fuzzy evaluation of the amplitude levels of nonlinear
anharmonic perturbations is constructed on the assumption that the approximate experimental values for the
elastic modules of the second and third order for the medium describes the normal trapezoidal fuzzy intervals.
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Keywords
bulk waves of deformations, cubic-nonlinear transversely, isotropic medium, nonlinear anharmonic perturbations, uncertainties, theory of fuzzy sets, physical parameters of the model, mechanical parameters of the model, heuristic principle of generalization, fuzzy evaluation, amplitude characteristics, second harmonic shear waves
Citation
Storozhev S. V. Fuzzy Evaluations For Kinematic Characteristics of Nonlinear Second Harmonics of Shear Waves in Transversely Isotropic Elastic Medium / S. V. Storozhev // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 509-514.