Encyclopedia of Analytical Surfaces

2017

Abstract. Generally the displacements of the beams are calculated by the traditional methods of structural mechanics with the help of approximate formulas which provide good results for linear tasks. The author shows that the approximate formula is not suitable for analysis in the case of geometrical nonlinearity which occurs during the manufacturing process of bending developable shells. The comparison of results got by methods of structural mechanics and shell theory for the shells with developable middle surfaces is given.

Section: A Precise Methods Applied To the Developable Shellsmentioning

confidence: 99%

Analysis of displacements in beam structures and shells with middle developable surfaces

2017

“…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%

Carved Monge Surfaces as New Forms in the Architecture

Filipova

2017

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.

“…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. 1).…”

Section: Introductionmentioning

confidence: 99%

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

Кривошапко

2017

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.