Geodesic
Numerical calculation of the optimum shape of a body of revolution at its penetration into soil media
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 95-101

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

An efficient method for finding the optimum shape of a body penetrating into soil media has been developed. The method is based on an approximation of the required generator of a body of revolution with minimum penetration resistance by a parametric Bezier polynomial. The numerical calculations have been carried out in the formulation of continuum mechanics, taking into account shock compressibility and soil shear strength within Grigoryan's model of a soil medium. The range of the optimum shapes with a permissible (for practical application) error of 5 % has been obtained.
Keywords: penetration, soil medium, Grigoryan's model, resistance, numerical calculation, unconstrained optimization.
Mots-clés : Bezier polynomial 
@article{UZKU_2014_156_2_a8,
     author = {E. Yu. Linnik},
     title = {Numerical calculation of the optimum shape of a~body of revolution at its penetration into soil media},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {95--101},
     publisher = {mathdoc},
     volume = {156},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a8/}
}
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E. Yu. Linnik. Numerical calculation of the optimum shape of a body of revolution at its penetration into soil media. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 95-101. http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a8/