Open AccessAn Algorithm for the Numerical Calculation of Nonlinear Lens-Shaped Membrane-Pneumatic Systems Created by the Incremental-Iterative Method with Account for the air Pressure Aftereffect
Author(s) -
M. F. Amoyan,
A. Yu. Kim,
S. V. Polnikov
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/698/2/022031
Subject(s) - nonlinear system , displacement (psychology) , algorithm , iterative method , lens (geology) , mathematics , euler's formula , computer science , mathematical analysis , physics , optics , psychology , quantum mechanics , psychotherapist
The authors have developed a method for the computer-aided static calculation of the large span structures geometrically and physically nonlinear lens-shaped membrane-pneumatic systems using the incremental-iterative algorithm with a stepwise application of the finite elements method in the displacement method form, the universal gas equation, and the improved Euler-Cauchy numerical procedure of the third order accuracy.