The Effect of Boundary Conditions on Nonlinear Vibrations of Plates on a Viscoelastic Base via the Fractional Calculus Standard Linear Solid Model

Author:

Shitikova Marina V.ORCID,Krusser Anastasiya I.ORCID

Publisher

Springer International Publishing

Reference22 articles.

1. D. Younesian, A. Hosseinkhani, H. Askari, E. Esmailzadeh, Elastic and viscoelastic foundations: A review on linear and nonlinear vibration modeling and applications. Nonlinear Dynamics 97, 853–895 (2019)

2. Y.A. Rossikhin, M.V. Shitikova, Application of fractional calculus for dynamic problems of solid mechanics: Novel trends and recent results. Appl. Mech. Rev. 63(1), Article ID 010801 (2010)

3. H. Zhu, L. Liu, X. Ye, Response of a loaded rectangular plate on fractional derivative viscoelastic foundation. J. Basic Sci. Eng. 19(2), 271–278 (2011)

4. L. Kou, Response of rectangular plate on fractional derivative two-parameter viscoelastic foundation. Chin. Q. Mech. 34(1), 154–160 (2013)

5. L. Kou, Y. Bai, Dynamic response of rectangular plates on two-parameter viscoelastic foundation with fractional derivatives. J. Vib. Shock 33(8), 141–147 (2014)

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