Trial design of umbrella type shell structures

Evgenia M Tupikova,Mikhail E Ershov

doi:10.22363/1815-5235-2021-17-4-414-424

Evgenia M Tupikova, Mikhail E Ershov

Open Access

https://doi.org/10.22363/1815-5235-2021-17-4-414-424

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Abstract

To create aesthetically expressive and functional small architectural forms, it is advisable to use reinforced concrete umbrella type shells in the shape of surfaces that can be specified in an analytical form. Hard landscaping is a suitable field of application for insufficiently studied and tested structures, in contrast to large structures of high importance class. The paper gives an example of a trial variant design of a small garden and park structure in the form of an umbrella type shell, during which different types of umbrella surfaces were analyzed and three variants were selected. Among the studied forms are the following surfaces: a paraboloid of rotation, an umbrella-type surface with a sinusoidal generator, an umbrella-type surface with radial waves based on cubic parabolas (with central flat point). The calculation of stress-strain state of three shells under their own weight was carried out using the finite element method and the peculiarities of working under load of each type of structures were revealed, recommendations are given when designing similar structures.

Highlights

These days parametric and mathematical architecture has won recognition from architects and structural engineers all over the world
To create aesthetically expressive and functional small architectural forms, it is advisable to use reinforced concrete umbrella type shells in the shape of surfaces that can be specified in an analytical form
The paper gives an example of a trial variant design of a small garden and park structure in the form of an umbrella type shell, during which different types of umbrella surfaces were analyzed and three variants were selected

Summary

Introduction

These days parametric and mathematical architecture has won recognition from architects and structural engineers all over the world. The masterpieces of Felix Candela and Eduardo Torroja, Santiago Kalatrava and other architects are familiar to everyone interested in the subject. Fabrication of such structures becomes more and more easy, using numerical program control equipment, 3D printers and other innovative technologies [1; 2]. Academy of Engineering of RUDN University pays attention to shell structure form finding in architecture and has its’ own traditions, which tend to analytical surfaces and mathematical architecture [3; 4]. The numerous students’ and researchers’ jobs are devoted to shell structures [5]. New equations of umbrella type surfaces are arised in [8; 9]

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