Geodesic
Mathematical modeling of inverse multipoint forming problems in the creep mode using a reconfigurable tool
Numerical methods and programming, Tome 17 (2016) no. 3, pp. 258-267

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A mathematical formulation of inverse forming problems in the creep mode using a reconfigurable tool is based on the creation of functionals for the direct and inverse extreme quasistatic problems of forming details with consideration of contact conditions with equipment. An iterative method of determining the displacements of pins of the tool's matrices providing a given residual curvature of the panel is proposed. The problems are numerically solved by a finite element method in the framework of the MSC.Marc system. The convergence of the proposed iterative method is shown by an example of panel shaping.
Keywords: inverse forming problems, finite element method, iterative method, multipoint forming.
Mots-clés : contact conditions, variational equations, convergence 
@article{VMP_2016_17_3_a6,
     author = {K. S. Bormotin and S. V. Belykh and A. Vin},
     title = {Mathematical modeling of inverse multipoint forming problems in the creep mode using a reconfigurable tool},
     journal = {Numerical methods and programming},
     pages = {258--267},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a6/}
}
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K. S. Bormotin; S. V. Belykh; A. Vin. Mathematical modeling of inverse multipoint forming problems in the creep mode using a reconfigurable tool. Numerical methods and programming, Tome 17 (2016) no. 3, pp. 258-267. http://geodesic.mathdoc.fr/item/VMP_2016_17_3_a6/