"Mathematical modeling of inverse multipoint forming problems in the creep mode using a reconfigurable tool"
Bormotin K.S., Belykh S.V., and Win Aung

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, contact conditions, variational equations, convergence, finite element method, iterative method, multipoint forming.

  • Bormotin K.S. – Komsomol’sk-na-Amure State Technical University, Institute for Computer Design of Mechanical Engineering Equipment and Machines; prospekt Lenina 27, Komsomol’sk-na-Amure, 681013, Russia; Dr. Sci., Associate Professor, e-mail: cvmi@knastu.ru
  • Belykh S.V. – Komsomol’sk-na-Amure State Technical University; prospekt Lenina 27, Komsomol’sk-na-Amure, 681013, Russia; Ph.D., Associate Professor, Vice-Rector for Science and Innovations, e-mail: prnir@knastu.ru
  • Win Aung – Komsomol’sk-na-Amure State Technical University, Faculty of Computer Technologies; prospekt Lenina 27, Komsomol’sk-na-Amure, 681013, Russia; Graduate Student, e-mail: cvmi@knastu.ru