New types of membrane-rod and membrane-pneumatic structures and improved methods for their calculation

Abstract

Objective. The purpose of this study was to create new pre-fabricated membrane-rod structures and non-linear methods for their calculation.Method. A stepwise method with an iterative numerical Euler-Cauchy procedure of the third order of accuracy was applied with the use of the finite element method at the step.Result. A technique for static calculation of membrane-rod structures has been developed, taking into account nonlinear factors. A calculation algorithm has been compiled and a program for calculating such structures has been written according to it. For this program, a certificate was obtained on the computer No. 2017613415 "Program for calculating membrane-pneumatic structures, taking into account non-linear factors by the iterative method of incrementing parameters."Conclusion. It is recommended to use a one-step calculation of membrane-rod systems with five iterations per step or a multi-step calculation with five steps with one iteration per step. Mixed options are also effective.

Keywords

• iterative euler-cauchy method of the third order of accuracy
• method for calculating membrane-rod systems
• new structural forms of long-span membrane-rod structures
• efficiency of new facilities