Y. Rossikhin, M. Shitikova, Phan Thanh Trung, "Application of the Fractional Derivative Kelvin-Voigt Model for the Analysis of Impact Response of a Kirchhoff-Love Plate," WSEAS Transactions on Mathematics, vol. 15, pp. 498-501, 2016, DOI:
Y. Rossikhin, M. Shitikova, Phan Thanh Trung. Application of the Fractional Derivative Kelvin-Voigt Model for the Analysis of Impact Response of a Kirchhoff-Love Plate.
WSEAS Transactions on Mathematics. 2016;15:498-501.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Application of the Fractional Derivative Kelvin-Voigt Model for the Analysis of Impact Response of a Kirchhoff-Love Plate
Authors: , ,
Abstract: In the present paper, we consider the problem on a transverse impact of an elastic sphere upon an elastic Kirchhoff-Love plate in a viscoelastic medium, the viscoelastic features of which are described by the fractional derivative Kelvin-Voigt model. Within the contact domain the contact force is defined by the Hertzian contact. The functional equation for determining the contact force is derived and its approximate analytical solution is obtained.
Pages: 498-501 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #46 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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