## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 763849, 39 pages.

### Simplified Analytical Method for Estimating the Resistance of Lock Gates to Ship Impacts

#### Abstract

The present paper is concerned with the design of lock gates submitted to ship impacts. In this paper, a simplified analytical method is presented to evaluate the resistance of such structures under collision. The basic idea is to assume that the resistance is first provided through a local deforming mode, corresponding to a localized crushing of some impacted structural elements. For consecutive larger deformations, the resistance is then mostly provided through a global deforming mode, corresponding to an overall movement of the entire gate. For assessing the resistance in the case of the local deforming mode, the structure is divided into a given number of large structural entities called “superelements.” For each of them, a relation between the resistance of the gate and the penetration of the striking ship is established. However, as some results are already available in the literature, this subject is not treated extensively in this paper. On the contrary, the calculation of the resistance of the gate provided through the global mode is detailed and the strategy to switch from local to global deformation is highlighted. Finally, we propose to validate our developments by making a comparison between results obtained numerically and those predicted by the present analytical approach.

#### Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 763849, 39 pages.

Dates
First available in Project Euclid: 17 October 2012

https://projecteuclid.org/euclid.jam/1350488744

Digital Object Identifier
doi:10.1155/2012/763849

Zentralblatt MATH identifier
1244.74210

#### Citation

Buldgen, Loïc; Le Sourne, Hervé; Rigo, Philippe. Simplified Analytical Method for Estimating the Resistance of Lock Gates to Ship Impacts. J. Appl. Math. 2012, Special Issue (2012), Article ID 763849, 39 pages. doi:10.1155/2012/763849. https://projecteuclid.org/euclid.jam/1350488744

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