RU2523988C1 - Universal unit for building polyarchs - Google Patents

Abstract

FIELD: physics.

SUBSTANCE: universal unit for building polyarchs has a coupling for mating at different angles with units of different sizes to form a chain of units joined by a common transparent cover and divided into sections for an incompressible liquid by movable partition walls capable of moving in vertical grooves of parallel walls of the units. The movable partition walls have vertical grooves of a smaller size for a flexible inextensible band. The parallel walls of the unit are movable and are in form of a band which bends at the ends of the couplings of the universal unit.

EFFECT: obtaining models of polyarchs with irregular alternation of convex and concave areas.

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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 is known for modeling a poly-arc [1], consisting of a body in the form of a hollow parallelepiped, with a transparent top cover, characterized in that the body is divided into sections by movable partitions moving in vertical grooves symmetrically located in opposite side walls of the body, in the end wall and in movable partitions are also vertically arranged in one groove of a smaller size for flexible only in the transverse direction of the tape, fixed from the inside to the second end wall, designed for The sequences of smoothly conjugate, that is, having common tangents at the connection points, for adjacent arcs of circles, possibly of different radii. Also known is a closed-arc modeling device [2], consisting of a casing with a transparent top cover, divided into sections by movable partitions moving in grooves located in opposite walls of the casing, in the movable partitions there is one smaller groove for flexible only in the transverse direction tape, while the body is made in the form of a polygonal torus 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 polygon, and An overlapped ententa has spring properties that tend to shorten the perimeter of the figure it forms. The purpose of the invention is the expansion of the functionality of these devices due to the modeling of special types of polydugs that cannot be implemented on prototype devices.

The technical result, which cannot be achieved by any of the known similar technical solutions, consists in changing the design of the section block in order to ensure the production of poly-arc models with irregular alternation of convex and concave sections. The impossibility of analytical modeling of this type of poly arc with given parameters lies in the non-analytic nature of its presentation, which leads to a transition to different description systems for the same areas of the task of the modeled function and to a computationally complex variational problem with many variables that does not currently have an effective solution algorithm.

The specified technical result is achieved by the fact that in the well-known universal block for expanding the poly-arc having joints for joining at various angles with blocks of different sizes to form a chain of blocks united by a common transparent cover and divided into sections for incompressible liquid by movable partitions arranged to move in vertical grooves of the parallel walls of the blocks, while in the movable partitions vertically made smaller grooves for a flexible inextensible tape, agree invention, the parallel walls being movable unit in the form of tapes are bent joints at the ends of the block.

Figure 1 presents the General diagram of the articulation of adjacent blocks of the device.

The device consists of blocks 1 _n with standard joints making up at different angles a chain of such blocks of different sizes, united by a common transparent cover 2, divided into several sections 3 _{n by} movable partitions 4 _n , moving in vertical grooves 5 _n and 5 ′ _n , made in movable parallel walls of 6 _n and 6 ′ _n blocks in the form of tapes, bending at the ends of the joints of the universal block. In the movable partitions 4 _n , grooves of a smaller size 7 _{n are} also vertically made for a flexible inextensible tape 8, which takes the target form of the poly arc.

The device operates as follows. In the container of each section 3 _n , divided by a tape 8, a viscous incompressible liquid, for example glycerin, is poured in full. Then the tape 8 is pulled with force to a stop. The resulting position of the tape 8, observed through the transparent cover 2, forms a new type of poly-arc, different from the types of poly-arcs implemented by devices [1] and [2]. By varying the proportions of the volumes of liquid in the parts of sections 3 _n , separated by tape 8, it is possible to obtain various versions of the polydugs. The novelty of the invention is due to the originality of the use of poly-arcs to form sections of scalable relief models [3] in the research works of the Institute of Computational Mathematics and Mathematical Geophysics SB RAS.

Information sources

1. Kim P.A. DEVICE MODELING OF THE POLIDUK. Patent RU 2461891 C2. Published on September 20, 2012, bull. Number 26.

2. A device for modeling a closed poly arc. Application for invention: 2012123470/12.

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

Claims (1)

A universal poly-arc building block, which has joints for joining at various angles with blocks of different sizes to form a chain of blocks united by a common transparent cover and divided into sections for incompressible liquid by movable partitions placed with the possibility of movement in vertical grooves of parallel block walls, while smaller partitions for vertically made movable partitions for flexible inextensible tape, characterized in that the parallel walls of the block are made movable in the form of strips curving universal joints at the ends of the block.