Geometry and Strength of General Helicoidal Shells

Struct. Mech. of Eng. Const. and Build

Игоревна²,

Elberdov

et al. 2020

Relevance. In design and calculation of civil engineering structures, several standard commercial software packages, which are successfully applied to solve everyday engineering problems, are traditionally used. However, when it is necessary to design the models of complex shape shell structures with defining surfaces based on parametric equations, such programs often have certain drawbacks. The aim of the work - analysis of existing types of commercial computational software packages in order to check which allow to design finite element models for shell structures with median surfaces of complex geometry given by parametric equations. Methods. The analysis of commercial computational software packages is carried out by studying the software manuals, and by building and calculating a model in the shape of a right helicoid as a test example. To evaluate the results of the stress-strain state of a shell with a middle surface in the form of a right helicoid, an analytical calculation method based on the Reissner’s equations and Fourier series expansion is used. Results. A review of modern commercial computational software packages as applied to models defined by parametric equations is carried out. A model for a shell structure with a median surface in the form of right helicoid is built. The numerical results of stress-strain behavior of the right helicoid are obtained and analyzed in comparison with the analytical solutions obtained using the Reissner’s equations with Fourier series expansion. The pros and cons of several popular means of software are presented.

Section: Modelling and Simulation Of Right Helicoidmentioning

confidence: 99%

Study of modern software capabilities for complex shell analysis

Struct. Mech. of Eng. Const. and Build

Игоревна²,

Elberdov

et al. 2020

“…However, the majority of shape structures used nowadays are limited to number of surfaces only: circular cylindrical, conical, spherical and some other traditional shapes. These surfaces are just a small part of geometrical forms available by geometry [1,[3][4][5][6][7][8][9][10][11][12].…”

Section: Main Features Of Carved Monge Surfacementioning

confidence: 99%

“…Depending on change of various parameters, for example the form of a moving line or a guiding line, the appearance of a surface will change (figs. [3][4][5]. Let us have a look on a specific case: ruled carved Monge surface ( fig.…”

Section: Geometry Of Carved Monge Surfacementioning

confidence: 99%

Carved Monge Surfaces as New Forms in the Architecture

Filipova

2017

MATEC Web Conf.

Abstract. On the example of today's existing buildings and cities the tendency of using thin construction in modern world can be clearly noticed. To create new ideas and images engineers have to study new geometrical forms and its calculation methods. The article deals with carved Monge surface. The possibilities of its usage in the architecture, its geometry and form making are well examined in the article, and are the basic problems considered in the article. As well as the basic calculations of Monge surface were made in this article using moment less theory and finite element method, and we can clearly see the advantages of using this shell. The main aim of this article is to show the relevance of carved Monge surface.

“…Krivoshapko [1] described some theoretical methods of static analysis of engineering structures in the form of right and oblique helicoids. Later, in a paper [2] with 181 references, the detailed analysis of the existing methods for calculating of the helicoidal thin shells was presented, as well as the issues of geometric design and profiling of the helical surfaces. The study of the existing scientific literature showed that currently the engineers know only right and oblique helicoids, although an encyclopedia [3] provides information about the five types of ruled helical surfaces (Fig.…”

Section: Introductionmentioning

confidence: 99%

Five Types of Ruled Helical Surfaces for Helical Conveyers, Support Anchors and Screws

Кривошапко

2017

MATEC Web Conf.

Self Cite

Abstract. The paper provides an overview of five types of ruled helical surfaces which can be used for helical conveyers, support anchors and screws. The geometry of helical surfaces has been well studied. Several available methods of strength analysis of helicoidal shells give one a choice in solving one-dimensional or two-dimensional problems. The basic problems considered in this paper include geometrical research and static analysis of right and developable helicoids. Several works dealing with stress-strain state of oblique, pseudo-developable helicoids, and pseudo-developable helicoid of general type are given in References.