An edge moving load on an orthotropic plate resting on a Winkler foundation

Althobaiti, Saad N.; Kaplunov, Julius; Prikazchikov, Danila A.

Abstract

Steady-state motion of a bending moment along the edge of a semi-infinite orthotropic Kirchhoff plate supported by a Winkler foundation is considered. The analysis of the dispersion relation reveals a local minimum of the phase velocity, coinciding with the value of the group velocity, corresponding to the critical speed of the moving load. In contrast to a free plate, the bending edge wave on an elastically supported plate possesses a cut-off frequency, arising due to the stiffening effect of the foundation. It is shown that the steady-state solution of a moving load problem corresponds to a beam-like edge behaviour. This feature is then confirmed from the specialised parabolic-elliptic formulation, which is oriented to extracting the contribution of the bending edge wave to the overall dynamic response.

Citation

Althobaiti, S. N., Kaplunov, J., & Prikazchikov, D. A. (2017). An edge moving load on an orthotropic plate resting on a Winkler foundation. Procedia Engineering, 199, 2579-2584. https://doi.org/10.1016/j.proeng.2017.09.340

• Journal Article Type: Article
• Acceptance Date: Sep 12, 2017
• Online Publication Date: Sep 12, 2017
• Publication Date: Sep 12, 2017
• Journal: Procedia Engineering
• Print ISSN: 1877-7058
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 199
• Pages: 2579-2584
• Series Title: EURODYN-2017
• DOI: https://doi.org/10.1016/j.proeng.2017.09.340
• Keywords: moving load, edge wave, orthotropic plate, Winkler foundation
• Publisher URL: https://doi.org/10.1016/j.proeng.2017.09.340