Sergey Anatolyevich Podkopaev (Bauman Moscow State Technical University) :


539.38:621.01:004.7 Numerical simulation the post-buckling nonlinear deformation of axisymmetric membranes

Podkopaev S. A. (Bauman Moscow State Technical University)

doi: 10.18698/2309-3684-2020-1-6487

The theoretical foundations of nonlinear straining of thin-walled axisymmetric shells are considered. The operational characteristics of the membranes in various switching devices, valves and pressure sensors are presented. The types of non-linear behavior of post-buckling behavior of axisymmetric membranes are considered. A mathematical model is presented to describe nonlinear straining of axisymmetric membranes, a discrete continuation by parameter method, and the “changing the subspace of control parameters” technique. Using the hinged spherical shell as an example, a study of post-buckling behavior is performed. A rational mathematical model has been selected to describe nonlinear straining of thin-walled axisymmetric shells. A numerical algorithm for studying the processes of nonlinear straining of multi-parameter systems has been developed and implemented as an author program.

Подкопаев С.А. Численное моделирование закритического нелинейного деформирования осесимметричных мембран. Математическое моделирование и численные методы, 2020, № 1, с. 64–87.