RU2580495C1 - Device for simulation cylindrical surface - Google Patents

Abstract

FIELD: training.

SUBSTANCE: each body of a line of housings is divided into sealed for incompressible fluid sections by movable partitions moving in grooves in opposite walls of the housing. Each movable partition wall has one groove of a smaller size for a band which is flexible in the cross direction. Body is made in the form of polygonal toroidal ring formed by outer and inner walls of sections. Grooves of the sections are located on the vertices of the inner and outer polygons. Band, which is closed with overlap, has spring properties which tend to reduce the circumference of the shape formed by the band. All walls of the housings, including the bottom are transparent, and in the mated bottoms and covers cases there are valve openings.

EFFECT: proposed is the physics manual.

1 cl, 2 dwg

Description

The invention relates to the field of mechanics and can be used to conduct workshops in physics and mathematics in higher and secondary educational institutions to study the geometric forms of mathematical and physical solutions of isoperimetric problems.

A device for modeling a closed poly-arc [1], consisting of a housing with a transparent top cover, divided into sections by movable partitions moving in grooves located in opposite walls of the housing, in the movable partitions are located one groove of a smaller size for flexible only in the transverse direction of the tape, characterized in that the casing is made in the form of a polygonal toroidal ring formed by the outer and inner walls of the sections, the grooves of the sections are located at the vertices of the outer and inner its polygon and the tape, overlapping closed, has spring properties, tending to reduce its perimeter formed shapes.

The aim of the invention is to expand the functionality of this device by modeling surfaces.

The technical result, which cannot be achieved by any of the known similar technical solutions, is to simulate a cylindrical surface. The reason for the difficulty of analytical modeling of cylindrical surfaces by closed polydes with given parameters is a computationally complex variational problem with many variables that does not currently have an effective solution algorithm.

In FIG. 1 shows a General structural diagram of the device. In FIG. 2 shows the design of a separate unit of the device.

The apparatus consists of a transparent ruler housings 1 _m, each with a transparent top cover 2 and the bottom 2 _{1m 2m,} divided into for an incompressible fluid sealed section 3 movable partitions 4 _{mn mn,} moving in grooves 5 and 5 _{m.1n m.2n,} located in opposite walls of the housing 1 _m , in the movable partitions 4 _mn , there is one smaller groove 6 _mn for flexible tape 7 _m only in the transverse direction, while the housing is made in the form of a polygonal toroidal ring formed by the outer and inner walls of the sections, grooves sec The centers are located at the vertices of the outer 5 _m.2n and the inner polygon 5 _m.1n , and the tape, overlapped, has spring properties that tend to shorten the perimeter of the figure formed by it.

All the walls of the housings are made transparent, and common valve openings of 8 _m.1n and 8 _m.2n , located on opposite sides of the 7 _m tapes in 3 _mn sections, allowing fluid flow between adjacent housings when they open .

The device operates as follows. In the container of each section 3 _mn , separated by a tape 7 _m , a viscous incompressible liquid, for example, glycerin, is poured in addition. Then the strips of 7 _{m in} different directions forcefully reduce their length in the cases 1 _m with upper covers 2 _1m and with the lower bottoms 2 _2m to a halt, moving the movable partitions 4 _mn in their vertical grooves 5 _m.1n and 5 _m.2n , perceiving forces through 6 _mn grooves for inextensible ribbons 7 _m . Smoothing of sharp changes in height between adjacent 7 _m ribbons approximating a cylindrical surface is ensured by manual redistribution of fluid through 8 _m.1n and 8 _{m.2n valves} in 2 _1m caps and 2 _2m bottoms into 3 _mn section volumes separated by 7 _m ribbons. The accuracy of the presentation improves with decreasing tape width and increasing the number of ruler elements. The novelty of the invention is due to the originality of the use of closed polydes for forming sections bounded in the orthogonal plane relative to the cylinder axis of closed scalable relief models in research works of the Institute of Computational Mathematics and Mathematical Geophysics SB RAS.

Information sources

1. DEVICE FOR SIMULATION OF THE CLOSED CLOSED-ARROW. APPLICATION FOR THE INVENTION 2012123470/12, 06/04/2012 Date of publication of the application 10.12.2013 bull. N 34.

2. Kim P.A. Polydug as an element for constructing profiles of a scalable terrain model. Tr. Int. scientific Congr. "GEO-Siberia-2007", Novosibirsk, Russia, v. 3 pp. 188-192. 5 pp.

Claims (1)

A device for modeling a cylindrical surface, consisting of a line of housings, each divided into sealed sections for incompressible fluid by movable partitions moving in grooves located in opposite walls of the housing, in the movable partitions there is one smaller groove for flexible tape only in the transverse direction, while the body is made in the form of a polygonal toroidal ring formed by the outer and inner walls of the sections, the grooves of the sections are located at the vertices of the outer and inner polygons, and a lap-closed tape has spring properties that tend to reduce the perimeter of the figure formed by it, characterized in that all the walls of the hulls, including the bottom, are made transparent, and in the mating bottoms and covers of the following hulls, matching valve openings are made.

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