Abstract
This article deals with solutions of transient vibration of a rectangular viscoelastic orthotropic thin 2D plate for particular deformation models according to Flügge and Timoshenko-Mindlin. The linear model, a general standard viscoelastic body, of the rheologic properties of a viscoelastic material was applied. The time and coordinate curves of the basic quantities displacement, rotation, velocity, stress and deformation are compared. The results obtained by an approximate analytic method are compared with numerical results for 3D plate generated by FEM application and with experimental investigation.
Similar content being viewed by others
References
Babuška, I., Li, L.: The problem of plate modeling. Theoretical and computational results. Comput. Methods Applied Mech. Engrg. 100, 249–273 (1992)
Soukup, J., Volek, J.: Transient vibration of the rectangular viscoelastic orthotropic plate I. Acta Mechanica Slovaca Košice, ISSN 1335-2393 (2008)
Soukup, J., Volek, J., Skočlas, J.: Transient vibration of thin viscoelastic orthotropic plate under transverse impulse loading. (Flügge, Timoshenko-Mindlin-Reissner models). In: Proc. in 9th Conference on Dynamical Systems Theory and Applications, Łódź, Poland, 1, 423–432 (2007)
Soukup, J., Volek, J.: Transient vibration of thin rectangular viscoelastic orthotropic plate under transverse impulse loading. (Kirchhoff-Love, Rayleigh). In: CD-ROM Proc. of the National Conference with International Participation Engineering Mechanics 2007, Svratka, extended abstract proc. 257–258, ÚT AV ČR Praha, Czech Republic (2007)
Soukup, J., Valeš, F., Volek, J.: Transient vibration of the rectangular viscoelastic orthotropic plate II. Acta Mechanica Slovaca 3-B, 741–754, Košice (2008)
Valeš, F., Volek, J., Črv, J.: Nonstationary stress state and dispersive properties of a thin orthotropic plate (Flügge, Timoshenko-Mindlin models). In: 2th International Conference Dynamics of Rigid and Deformable Bodies 2004 in Ústí n. L., 133–146 (2004)
Soukup, J., Volek, J.: The investigation of the parameters of the mechanical properties of the viscoelastic materials under dynamic loading. In: 7th International Conference Dynamics of Rigid and Deformable Bodies 2009, FVTM UJEP Ústí nad Labem, 155–158 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Soukup, J., Valeš, F., Volek, J. et al. Transient vibration of thin viscoelastic orthotropic plates. Acta Mech Sin 27, 98–107 (2011). https://doi.org/10.1007/s10409-011-0416-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-011-0416-1