Optimization study of shape of translational shell of square plan

Abstract

The aim of the work. The static analysis and comparison of the results for translational shells under equally distributed load of dead weight are provided. The shells of the similar general dimensions in plan and rise of four different types: translation of catenary along catenary, circle along circle, ellipse along ellipse and sinusoid along sinusoid are investigated. Methods. The finite element method was applied for the analysis. The research was conducted for the shells of material of reinforced concrete characteristics. Results. The comparison has shown that shells of catenary and circle translation surface demonstrate the most advantageous behavior under loading; the worst results for reinforced concrete were got for ellipse along ellipse translation shell. The peculiarities of each type behavior were revealed, that is of interest for their prospective reduction to practice of structural design.

Keywords

• translational surface
• thin elastic shell
• finite element method
• static analysis