Abstract
The paper considers an intellectual approach to the synthesis of structure properties of thin-walled models, which allows you to create devices with the guided properties. 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.
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Podkopaev, S.A., Gavriushin, S.S., Podkopaeva, T.B. (2020). Methods for Studying the Post-buckling Behavior of Axisymmetric Membrane. In: Hu, Z., Petoukhov, S., He, M. (eds) Advances in Intelligent Systems, Computer Science and Digital Economics. CSDEIS 2019. Advances in Intelligent Systems and Computing, vol 1127. Springer, Cham. https://doi.org/10.1007/978-3-030-39216-1_1
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