68 research outputs found
ΠΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΠΎΠ²Π΅ΡΡ Π½ΠΎΡΡΠ΅ΠΉ ΠΠΎΠ½ΠΆΠ° ΠΊΠΈΠ½Π΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΡΠΏΠΎΡΠΎΠ±ΠΎΠΌ Π² ΡΡΠ΅Π΄Π΅ AutoCAD
Aims of research. Studying the possibility of forming Monge carved surfaces, defined by the method of their formation, creating an algorithm and program in the AutoLISP language to demonstrate the formation of surfaces in the AutoCAD environment in a dynamic mode. Methods. Monge carved surfaces are formed by a flat curve, located in the tangent plane to the fixed guide of the developable surface, when the plane and the curve roll along the guide surface without sliding. The described method of formation of these surfaces allows to perform their formation by the kinematic method in the AutoCAD environment using AutoLISP software. The article describes the construction of the Monge surfaces using cylindrical and conical surfaces as guides. A straight line and a sine wave are used as the forming lines. Results. An algorithm and a program in the AutoLISP language were created to form sets of compartments of several Monge surfaces and to visualize the formation of these surfaces in a dynamic mode by sequentially displaying the compartments on the monitor screen. The mini-film about formation of Monge surface by rolling a plane with a straight line along a circular cone is created. In the mini-film the drawings received by transformation of drawings of the AutoCAD environment are used.Π¦Π΅Π»ΠΈ. ΠΠ·ΡΡΠ΅Π½ΠΈΠ΅ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠ΅Π·Π½ΡΡ
ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΠΎΠ½ΠΆΠ°, Π·Π°Π΄Π°Π½Π½ΡΡ
ΡΠΏΠΎΡΠΎΠ±ΠΎΠΌ ΠΈΡ
ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ, ΡΠΎΠ·Π΄Π°Π½ΠΈΠ΅ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° ΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ Π½Π° ΡΠ·ΡΠΊΠ΅ AutoLISP Π΄Π»Ρ Π΄Π΅ΠΌΠΎΠ½ΡΡΡΠ°ΡΠΈΠΈ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ Π² ΡΡΠ΅Π΄Π΅ AutoCAD Π² Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠ΅ΠΆΠΈΠΌΠ΅. ΠΠ΅ΡΠΎΠ΄Ρ. Π Π΅Π·Π½ΡΠ΅ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΠΎΠ½ΠΆΠ° ΠΎΠ±ΡΠ°Π·ΡΡΡΡΡ ΠΏΠ»ΠΎΡΠΊΠΎΠΉ ΠΊΡΠΈΠ²ΠΎΠΉ, ΡΠ°ΡΠΏΠΎΠ»ΠΎΠΆΠ΅Π½Π½ΠΎΠΉ Π² ΠΊΠ°ΡΠ°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΠΏΠ»ΠΎΡΠΊΠΎΡΡΠΈ ΠΊ Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΠΎΠΉ Π½Π°ΠΏΡΠ°Π²Π»ΡΡΡΠ΅ΠΉ ΡΠ°Π·Π²Π΅ΡΡΡΠ²Π°ΡΡΠ΅ΠΉΡΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ, ΠΏΡΠΈ ΠΏΠ΅ΡΠ΅ΠΊΠ°ΡΡΠ²Π°Π½ΠΈΠΈ ΠΏΠ»ΠΎΡΠΊΠΎΡΡΠΈ ΠΈ ΠΊΡΠΈΠ²ΠΎΠΉ ΠΏΠΎ Π½Π°ΠΏΡΠ°Π²Π»ΡΡΡΠ΅ΠΉ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ Π±Π΅Π· ΡΠΊΠΎΠ»ΡΠΆΠ΅Π½ΠΈΡ. ΠΠΏΠΈΡΠ°Π½Π½ΡΠΉ ΡΠΏΠΎΡΠΎΠ± ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΡΠΊΠ°Π·Π°Π½Π½ΡΡ
ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π²ΡΠΏΠΎΠ»Π½ΠΈΡΡ ΠΈΡ
ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠΈΠ½Π΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ Π² ΡΡΠ΅Π΄Π΅ AutoCAD Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ΠΌ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠ³ΠΎ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΡ Π½Π° ΡΠ·ΡΠΊΠ΅ AutoLISP. Π ΡΡΠ°ΡΡΠ΅ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½ΠΎ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΠ΅ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΠΎΠ½ΠΆΠ° Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ Π½Π°ΠΏΡΠ°Π²Π»ΡΡΡΠΈΡ
ΡΠΈΠ»ΠΈΠ½Π΄ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΈ ΠΊΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ. Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΠΎΠ±ΡΠ°Π·ΡΡΡΠΈΡ
Π»ΠΈΠ½ΠΈΠΉ ΠΏΡΠΈΠΌΠ΅Π½ΡΡΡΡΡ ΠΏΡΡΠΌΠ°Ρ Π»ΠΈΠ½ΠΈΡ ΠΈ ΡΠΈΠ½ΡΡΠΎΠΈΠ΄Π°. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. Π‘ΠΎΠ·Π΄Π°Π½ Π°Π»Π³ΠΎΡΠΈΡΠΌ ΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ° Π½Π° ΡΠ·ΡΠΊΠ΅ AutoLISP Π΄Π»Ρ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ Π½Π°Π±ΠΎΡΠΎΠ² ΠΎΡΡΠ΅ΠΊΠΎΠ² Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΡ
ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΠΎΠ½ΠΆΠ° ΠΈ Π²ΠΈΠ·ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΡΠΈΡ
ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ Π² Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠ΅ΠΆΠΈΠΌΠ΅ ΠΏΠΎΡΡΠ΅Π΄ΡΡΠ²ΠΎΠΌ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ ΠΈΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΡ ΠΎΡΡΠ΅ΠΊΠΎΠ² Π½Π° ΡΠΊΡΠ°Π½Π΅ ΠΌΠΎΠ½ΠΈΡΠΎΡΠ°. Π‘Π½ΡΡ ΠΌΠΈΠ½ΠΈ-ΡΠΈΠ»ΡΠΌ ΠΎΠ± ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠΈ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΠΎΠ½ΠΆΠ° ΠΏΡΠΈ ΠΊΠ°ΡΠ΅Π½ΠΈΠΈ ΠΏΠ»ΠΎΡΠΊΠΎΡΡΠΈ Ρ ΠΏΡΡΠΌΠΎΠΉ Π»ΠΈΠ½ΠΈΠ΅ΠΉ ΠΏΠΎ ΠΊΡΡΠ³ΠΎΠ²ΠΎΠΌΡ ΠΊΠΎΠ½ΡΡΡ. Π ΠΌΠΈΠ½ΠΈ-ΡΠΈΠ»ΡΠΌΠ΅ ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΡΡΡΡ ΡΠΈΡΡΠ½ΠΊΠΈ, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΡΠ΅ΡΡΠ΅ΠΆΠ΅ΠΉ ΡΡΠ΅Π΄Ρ AutoCAD
ΠΠΈΠ·ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ Π½ΠΎΡΡΠ΅ΠΉ ΠΏΠΎΠ»ΡΠΏΡΠ°Π²ΠΈΠ»ΡΠ½ΡΡ ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠΎΠ² Π² ΡΡΠ΅Π΄Π΅ AutoCAD
The paper examines the automated formation by the kinematic method of the surfaces of Archimedes' semi-regular polyhedra of three forms: truncated tetrahedron, truncated octahedron and truncated icosahedron. To solve this problem, AutoCAD and the built-in programming language AutoLISP were used. Each of these five semi-regular polyhedra of Archimedes has faces of two kinds. In this regard, the surface of a separate polyhedron is considered to consist of two structural forms. Each structural shape is formed in the AutoCAD environment from the compartments of the surfaces of the faces of the polyhedron of the same type, and each compartment is assigned to a specific layer of the drawing. The formation of constructive forms is provided by user-defined functions developed in the functional programming language AutoLISP. User-defined functions not only form images of surfaces, but also perform all the necessary calculations. The electronic model of each polyhedron is formed by the union of its structural forms. A block is formed from it. The surface formation of each polyhedron performs user-defined functions that provide βfreezingβ of drawing layers intended for surface compartments, insertion of a block with an electronic model of the polyhedron, and sequential βdefrostingβ of drawing layers. When there is a βthawing" of the layers of the drawing, the process of forming a polyhedron is shown on the monitor screen. As a result of research software that includes userdefined functions for the formation of an electronic model of selected polyhedrons and visualization of the process of formation of their surfaces in a dynamic mode was created.Π ΡΡΠ°ΡΡΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ΅ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠΈΠ½Π΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΏΠΎΠ»ΡΠΏΡΠ°Π²ΠΈΠ»ΡΠ½ΡΡ
ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠΎΠ² ΠΡΡ
ΠΈΠΌΠ΅Π΄Π° ΡΡΠ΅Ρ
ΡΠΎΡΠΌ: ΡΡΠ΅ΡΠ΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅ΡΡΠ°ΡΠ΄ΡΠ°, ΡΡΠ΅ΡΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΎΠΊΡΠ°ΡΠ΄ΡΠ° ΠΈ ΡΡΠ΅ΡΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΈΠΊΠΎΡΠ°ΡΠ΄ΡΠ°. ΠΠ»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΠΏΠΎΡΡΠ°Π²Π»Π΅Π½Π½ΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π»ΠΈΡΡ AutoCAD ΠΈ Π²ΡΡΡΠΎΠ΅Π½Π½ΡΠΉ Π² Π½Π΅Π³ΠΎ ΡΠ·ΡΠΊ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ AutoLISP. ΠΠ°ΠΆΠ΄ΡΠΉ ΠΈΠ· ΡΠΊΠ°Π·Π°Π½Π½ΡΡ
ΡΡΠ΅Ρ
ΠΏΠΎΠ»ΡΠΏΡΠ°Π²ΠΈΠ»ΡΠ½ΡΡ
ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠΎΠ² ΠΡΡ
ΠΈΠΌΠ΅Π΄Π° ΠΈΠΌΠ΅Π΅Ρ Π³ΡΠ°Π½ΠΈ Π΄Π²ΡΡ
Π²ΠΈΠ΄ΠΎΠ². Π ΡΠ²ΡΠ·ΠΈ Ρ ΡΡΠΈΠΌ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΡ ΠΎΡΠ΄Π΅Π»ΡΠ½ΠΎΠ³ΠΎ ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠ° ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ ΡΠΎΡΡΠΎΡΡΠ΅ΠΉ ΠΈΠ· Π΄Π²ΡΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΡ
ΡΠΎΡΠΌ. ΠΠ°ΠΆΠ΄Π°Ρ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½Π°Ρ ΡΠΎΡΠΌΠ° ΠΎΠ±ΡΠ°Π·ΡΠ΅ΡΡΡ Π² ΡΡΠ΅Π΄Π΅ AutoCAD ΠΈΠ· ΠΎΡΡΠ΅ΠΊΠΎΠ² ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ Π³ΡΠ°Π½Π΅ΠΉ ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠ° ΠΎΠ΄Π½ΠΎΠ³ΠΎ Π²ΠΈΠ΄Π°, ΠΏΡΠΈΡΠ΅ΠΌ ΠΊΠ°ΠΆΠ΄ΡΠΉ ΠΎΡΡΠ΅ΠΊ Π·Π°ΠΊΡΠ΅ΠΏΠ»ΡΠ΅ΡΡΡ Π·Π° ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠΌ ΡΠ»ΠΎΠ΅ΠΌ ΡΠ΅ΡΡΠ΅ΠΆΠ°. ΠΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΡ
ΡΠΎΡΠΌ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡ ΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΠ΅Π»ΡΡΠΊΠΈΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ, ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΡΠ΅ Π½Π° ΡΡΠ½ΠΊΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΌ ΡΠ·ΡΠΊΠ΅ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ AutoLISP. ΠΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΠ΅Π»ΡΡΠΊΠΈΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ Π½Π΅ ΡΠΎΠ»ΡΠΊΠΎ ΡΠΎΡΠΌΠΈΡΡΡΡ ΠΎΠ±ΡΠ°Π·Ρ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ, Π½ΠΎ ΠΈ Π²ΡΠΏΠΎΠ»Π½ΡΡΡ Π²ΡΠ΅ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡΠ΅ ΡΠ°ΡΡΠ΅ΡΡ. ΠΠ»Π΅ΠΊΡΡΠΎΠ½Π½Π°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠ° ΡΠΎΡΠΌΠΈΡΡΠ΅ΡΡΡ ΠΎΠ±ΡΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠ΅ΠΌ Π΅Π³ΠΎ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΡ
ΡΠΎΡΠΌ. ΠΠ· Π½Π΅Π΅ ΡΠΎΠ·Π΄Π°Π΅ΡΡΡ Π±Π»ΠΎΠΊ. ΠΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠ° Π²ΡΠΏΠΎΠ»Π½ΡΡΡ ΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΠ΅Π»ΡΡΠΊΠΈΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡΠΈΠ΅ Β«Π·Π°ΠΌΠΎΡΠ°ΠΆΠΈΠ²Π°Π½ΠΈΠ΅Β» ΡΠ»ΠΎΠ΅Π² ΡΠ΅ΡΡΠ΅ΠΆΠ°, ΠΏΡΠ΅Π΄Π½Π°Π·Π½Π°ΡΠ΅Π½Π½ΡΡ
Π΄Π»Ρ ΠΎΡΡΠ΅ΠΊΠΎΠ² ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ, Π²ΡΡΠ°Π²ΠΊΡ Π±Π»ΠΎΠΊΠ° Ρ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΡΡ ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠ° ΠΈ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠ΅ Β«ΡΠ°Π·ΠΌΠΎΡΠ°ΠΆΠΈΠ²Π°Π½ΠΈΠ΅Β» ΡΠ»ΠΎΠ΅Π² ΡΠ΅ΡΡΠ΅ΠΆΠ°. ΠΠΎΠ³Π΄Π° ΠΏΡΠΎΠΈΡΡ
ΠΎΠ΄ΠΈΡ Β«ΡΠ°Π·ΠΌΠΎΡΠ°ΠΆΠΈΠ²Π°Π½ΠΈΠ΅Β» ΡΠ»ΠΎΠ΅Π² ΡΠ΅ΡΡΠ΅ΠΆΠ°, ΠΏΡΠΎΡΠ΅ΡΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠ° Π΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΡΠ΅ΡΡΡ Π½Π° ΡΠΊΡΠ°Π½Π΅ ΠΌΠΎΠ½ΠΈΡΠΎΡΠ°. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠΌ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Π½ΠΎΠ³ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΡΡΠ°Π»ΠΎ ΡΠΎΠ·Π΄Π°Π½ΠΈΠ΅ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠ³ΠΎ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΡ, Π²ΠΊΠ»ΡΡΠ°ΡΡΠ΅Π³ΠΎ ΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΠ΅Π»ΡΡΠΊΠΈΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ Π΄Π»Ρ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ Π²ΡΠ±ΡΠ°Π½Π½ΡΡ
ΠΌΠ½ΠΎΠ³ΠΎΠ³ΡΠ°Π½Π½ΠΈΠΊΠΎΠ² ΠΈ Π²ΠΈΠ·ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΈΡ
ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ Π² Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠ΅ΠΆΠΈΠΌΠ΅
ΠΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΡΠΉ Π΄ΠΈΠ΄Π°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π» ΠΏΠΎ ΡΠ΅ΠΌΠ΅ "ΠΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠ°Π½ΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ Π½ΠΎΡΡΠ΅ΠΉ"
In the paper algorithm software of creation mini-film βFormation of cylindrical surfaceβ is considered. This film is essentially a didactic material to the subject βSurfacesβ.Π ΡΡΠ°ΡΡΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΠΌΠΈΠ½ΠΈ-ΡΠΈΠ»ΡΠΌΠ° Β«ΠΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠΈΠ»ΠΈΠ½Π΄ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈΒ», ΠΏΠΎ ΠΌΠ΅ΡΠΎΠ΄ΠΈΡΠ΅ΡΠΊΠΎΠΌΡ Π½Π°Π·Π½Π°ΡΠ΅Π½ΠΈΡ ΡΠ²Π»ΡΡΡΠΈΠΉΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΡΠΌ Π΄ΠΈΠ΄Π°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠΌ ΠΊ ΡΠ΅ΠΌΠ΅ Β«ΠΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈΒ»
ΠΠΈΠ·ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ Π½ΠΎΡΡΠΈ ΠΡΠ½ΡΠ°
Formation of surfaces on the method of Πuns finds a wideuse at creation of new forms in architecture, shipbuilding, motor industry. Possibility of visualization of process of formation Kuns surfaces is examined by creation of mini-film, which can be demonstrated to the students during a lecture.ΠΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΏΠΎ ΠΌΠ΅ΡΠΎΠ΄Ρ ΠΡΠ½ΡΠ° Π½Π°Ρ
ΠΎΠ΄ΠΈΡ ΡΠΈΡΠΎΠΊΠΎΠ΅ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΠΏΡΠΈ ΡΠΎΠ·Π΄Π°Π½ΠΈΠΈ Π½ΠΎΠ²ΡΡ
ΡΠΎΡΠΌ Π² Π°ΡΡ
ΠΈΡΠ΅ΠΊΡΡΡΠ΅, ΠΊΠΎΡΠ°Π±Π»Π΅ΡΡΡΠΎΠ΅Π½ΠΈΠΈ, ΠΌΠ°ΡΠΈΠ½ΠΎΡΡΡΠΎΠ΅Π½ΠΈΠΈ. Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ Π²ΠΈΠ·ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΡΠ½ΡΠ° ΠΏΡΡΠ΅ΠΌ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΠΌΠΈΠ½ΠΈΡΠΈΠ»ΡΠΌΠ°, ΠΊΠΎΡΠΎΡΡΠΉ ΠΌΠΎΠΆΠ½ΠΎ Π΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΠΎΠ²Π°ΡΡ ΡΡΡΠ΄Π΅Π½ΡΠ°ΠΌ Π²ΠΎ Π²ΡΠ΅ΠΌΡ Π»Π΅ΠΊΡΠΈΠΈ
ΠΠΠ’ΠΠΠΠ’ΠΠ§ΠΠ‘ΠΠΠ ΠΠΠΠΠΠΠ ΠΠΠΠΠΠ ΠΠΠΠΠ Π₯ΠΠΠ‘Π’Π ΠΠΠΠΠΠΠΠΠΠΠ Π‘ΠΠΠ’Π ΠΠ ΠΠΠΠΠΠ’ΠΠ§ΠΠ‘ΠΠΠ ΠΠΠΠΠ Π Π‘ΠΠ‘Π’ΠΠΠ AUTOCAD ΠΠΠ‘Π ΠΠΠ‘Π’ΠΠΠ Π―ΠΠ«ΠΠ AUTOLISP
Graphical computer modeling is a real possibility of solving problems for the education surfaces the kinematic method. It is due to the availability of computer-aided design, such as MathCad, Mathematika, AutoCad etc. The advantage of AutoCad is the availability of built-in AutoLisp language is functional. Having a wide set of mathematical functions and functions to draw graphical objects, language AutoLisp allows you to write a program to draw the shells of any complexity, in the particular case of shell the same slope in the elliptical plan, with subsequent transfer of results in the AutoCAD environment. The reproduction of objects in slow motion gives you the ability to create mini-movies about the formation of the surfaces. Image graphic creations in three-dimensional space, using the AutoCAD color palette enhances the expressiveness of the image surfaces and their elements.The aim of the study is the possibility of modeling the surface of the same slope in the elliptical plan, carried out by its gradual drawing in slow dynamically creating a mini-film, which allows to represent on the screen the process of formation of the surface.ΠΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΊΠΎΠΌΠΏΡΡΡΠ΅ΡΠ½ΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ - ΡΠ΅Π°Π»ΡΠ½Π°Ρ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ ΠΏΠΎ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΊΠΈΠ½Π΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΡΠΏΠΎΡΠΎΠ±ΠΎΠΌ. ΠΠ½Π° ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π° Π½Π°Π»ΠΈΡΠΈΠ΅ΠΌ ΡΠΈΡΡΠ΅ΠΌ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΡΠ°ΠΊΠΈΡ
ΠΊΠ°ΠΊ MathCad, Mathematika, AutoCad ΠΈ Π΄Ρ. ΠΡΠ΅ΠΈΠΌΡΡΠ΅ΡΡΠ²ΠΎΠΌ ΡΠΈΡΡΠ΅ΠΌΡ AutoCad ΡΠ²Π»ΡΠ΅ΡΡΡ Π½Π°Π»ΠΈΡΠΈΠ΅ Π²ΡΡΡΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ Π² Π½Π΅Π΅ ΡΠ·ΡΠΊΠ° ΡΡΠ½ΠΊΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠ³ΠΎ AutoLisp. Π Π°ΡΠΏΠΎΠ»Π°Π³Π°Ρ ΡΠΈΡΠΎΠΊΠΈΠΌ Π½Π°Π±ΠΎΡΠΎΠΌ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ½ΠΊΡΠΈΠΉ ΠΈ ΡΡΠ½ΠΊΡΠΈΠΉ Π΄Π»Ρ Π²ΡΡΠ΅ΡΡΠΈΠ²Π°Π½ΠΈΡ Π³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ², ΡΠ·ΡΠΊ AutoLisp ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π½Π°ΠΏΠΈΡΠ°ΡΡ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ Π΄Π»Ρ Π²ΡΡΠ΅ΡΡΠΈΠ²Π°Π½ΠΈΡ ΠΎΠ±ΠΎΠ»ΠΎΡΠ΅ΠΊ Π»ΡΠ±ΠΎΠΉ ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΠΈ, Π² ΡΠ°ΡΡΠ½ΠΎΠΌ ΡΠ»ΡΡΠ°Π΅ - ΠΎΠ±ΠΎΠ»ΠΎΡΠΊΠΈ ΠΎΠ΄ΠΈΠ½Π°ΠΊΠΎΠ²ΠΎΠ³ΠΎ ΡΠΊΠ°ΡΠ° Π½Π° ΡΠ»Π»ΠΈΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΏΠ»Π°Π½Π΅ Ρ ΠΏΠΎΡΠ»Π΅Π΄ΡΡΡΠ΅ΠΉ ΠΏΠ΅ΡΠ΅Π΄Π°ΡΠ΅ΠΉ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² Π² ΡΡΠ΅Π΄Ρ AutoCAD. ΠΠΎΡΠΏΡΠΎΠΈΠ·Π²Π΅Π΄Π΅Π½ΠΈΠ΅ ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ² Π² Π·Π°ΠΌΠ΅Π΄Π»Π΅Π½Π½ΠΎΠΌ ΡΠ΅ΠΆΠΈΠΌΠ΅ Π΄Π°Π΅Ρ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΡΠΎΡΡΠ°Π²Π»ΡΡΡ ΠΌΠΈΠ½ΠΈ-ΡΠΈΠ»ΡΠΌΡ ΠΎ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ. ΠΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ Π³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΠΉ Π² ΡΡΠ΅Ρ
ΠΌΠ΅ΡΠ½ΠΎΠΌ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π΅ Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΡΠ²Π΅ΡΠ½ΠΎΠΉ ΠΏΠ°Π»ΠΈΡΡΡ AutoCAD ΡΡΠΈΠ»ΠΈΠ²Π°Π΅Ρ Π²ΡΡΠ°Π·ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΡ ΠΈΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΈ ΠΈΡ
ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ² [1]. Π¦Π΅Π»ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΡΠ²Π»ΡΠ΅ΡΡΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΎΠ΄ΠΈΠ½Π°ΠΊΠΎΠ²ΠΎΠ³ΠΎ ΡΠΊΠ°ΡΠ° Π½Π° ΡΠ»Π»ΠΈΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΏΠ»Π°Π½Π΅, ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΠΌΠ°Ρ Π΅Π΅ ΠΏΠΎΡΡΠ°ΠΏΠ½ΡΠΌ Π²ΡΡΠ΅ΡΡΠΈΠ²Π°Π½ΠΈΠ΅ΠΌ Π² Π·Π°ΠΌΠ΅Π΄Π»Π΅Π½Π½ΠΎΠΌ Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΌ ΡΠ΅ΠΆΠΈΠΌΠ΅ Ρ ΡΠΎΠ·Π΄Π°Π½ΠΈΠ΅ΠΌ ΠΌΠΈΠ½ΠΈ-ΡΠΈΠ»ΡΠΌΠ°, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠ΅Π³ΠΎ ΠΏΡΠ΅Π΄ΡΡΠ°Π²ΠΈΡΡ Π½Π° ΡΠΊΡΠ°Π½Π΅ ΠΌΠΎΠ½ΠΈΡΠΎΡΠ° ΠΏΡΠΎΡΠ΅ΡΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ
Optimization of the Androgenesis Method in the In Vitro Culture of Anteneson the Basis ofT. AestivumHybrids
This study aimed to examine the regularities of the regenerationprocesses of haploid plants, the dependence of in vitro microspore morphogenesis in anther culture on optimization factors, and their efficiency in F1 hybrids of T. aestivumof different ecological and geographicorigin. It was found that heterosis contributed to an increased yield of haploid chlorophyll-bearing regenerants from hybrids obtained from the crossing of parental forms with different responsiveness to androclinia. Results were obtained for the complex optimization of the androgenesis method for the in vitro anther culture of T. aestivum, in order to create diploidized haploid lines (DHL) regardless of the influence of the genotype. The agroecological properties for a complex of economically useful traits were also assessed. DHLs were created that combined high yield (5.1-6.8 t / ha) with lodging resistance (straw height β 60-80 cm) and consistently high grain quality; these were characterized by increased resistance to major leaf diseases in comparison with the standard variety in the conditions of the Central Economic Region of the Non-Black Earth Zone of the Russian Federation.
Keywords: spring soft wheat, androgenesis, embyroidogenesis, callusogenesis, diploidized haploids, in vitro, yield and qualit
ΠΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ Π²ΠΈΠ±ΡΠΎΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΡΡΠΈ ΡΡΡΠΎΠΈΡΠ΅Π»ΡΠ½ΠΎΠΉ ΠΈ Π³ΠΎΡΠ½ΠΎΠΉ ΡΠ΅Ρ Π½ΠΈΠΊΠΈ
On an example of the boring rig the technique of search of algorithm of control by active dampers power bodies from a condition of the basic units of a machine design vibrations level limitation is considered. Technique is applicable to road-building, construction site and mine machines having similar dynamic structures.ΠΠ° ΠΏΡΠΈΠΌΠ΅ΡΠ΅ Π±ΡΡΠΎΠ²ΠΎΠ³ΠΎ ΡΡΠ°Π½ΠΊΠ° ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½Π° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΠΏΠΎΠΈΡΠΊΠ° Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠΈΠ»ΠΎΠ²ΡΠΌΠΈ ΠΎΡΠ³Π°Π½Π°ΠΌΠΈ Π°ΠΊΡΠΈΠ²Π½ΡΡ
Π³Π°ΡΠΈΡΠ΅Π»Π΅ΠΉ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ ΠΈΠ· ΡΡΠ»ΠΎΠ²ΠΈΡ ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½ΠΈΡ ΡΡΠΎΠ²Π½Ρ Π²ΠΈΠ±ΡΠ°ΡΠΈΠΉ ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
ΡΠ·Π»ΠΎΠ² ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΈ. ΠΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΠΏΡΠΈΠΌΠ΅Π½ΠΈΠΌΠ° ΠΊ Π΄ΠΎΡΠΎΠΆΠ½ΡΠΌ, ΡΡΡΠΎΠΈΡΠ΅Π»ΡΠ½ΡΠΌ ΠΈ Π³ΠΎΡΠ½ΡΠΌ ΠΌΠ°ΡΠΈΠ½Π°ΠΌ, ΠΈΠΌΠ΅ΡΡΠΈΠΌ Π°Π½Π°Π»ΠΎΠ³ΠΈΡΠ½ΡΠ΅ Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΡΡΡΠΊΡΡΡΡ
Π‘ΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅ ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ ΠΊΠ»Π΅ΡΠΎΠΊ Π² ΠΌΠΎΠ»ΠΎΠΊΠ΅ ΠΊΠΎΡΠΎΠ² Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΠΈΡ Π³Π΅Π½ΠΎΡΠΈΠΏΠ°
Biochemical polymorphism of milk whey proteins was studied. Trials on the study of factors affecting the content of somatic cells in cow milk were performed. Correlation between genotype of animals for the locus of Ξ²-Lg and content of somatic cells in cow milk was discovered. Least somatic cages in 1 ml of milk contains at cows with homozygous ΠΠ a genotype. Force of influence of a genotype on locus Ξ²-Lg on quantity of somatic cages makes 17,7%.ΠΠ·ΡΡΠ΅Π½ Π±ΠΈΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠΎΠ»ΠΈΠΌΠΎΡΡΠΈΠ·ΠΌ ΡΡΠ²ΠΎΡΠΎΡΠΎΡΠ½ΡΡ
Π±Π΅Π»ΠΊΠΎΠ² ΠΌΠΎΠ»ΠΎΠΊΠ°. ΠΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎ ΠΈΠ·ΡΡΠ΅Π½ΠΈΡ ΡΠ°ΠΊΡΠΎΡΠΎΠ², Π²Π»ΠΈΡΡΡΠΈΡ
Π½Π° ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅ ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΊΠ»Π΅ΡΠΎΠΊ Π² ΠΌΠΎΠ»ΠΎΠΊΠ΅ ΠΊΠΎΡΠΎΠ². ΠΡΡΠ²Π»Π΅Π½Π° Π²Π·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·Ρ ΠΌΠ΅ΠΆΠ΄Ρ Π³Π΅Π½ΠΎΡΠΈΠΏΠΎΠΌ ΠΆΠΈΠ²ΠΎΡΠ½ΡΡ
ΠΏΠΎ Π»ΠΎΠΊΡΡΡ Ξ²-Lg ΠΈ ΡΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅ΠΌ ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΊΠ»Π΅ΡΠΎΠΊ Π² ΠΌΠΎΠ»ΠΎΠΊΠ΅ ΠΊΠΎΡΠΎΠ². ΠΠ΅Π½ΡΡΠ΅ Π²ΡΠ΅Π³ΠΎ ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΊΠ»Π΅ΡΠΎΠΊ Π² 1 ΠΌΠ» ΠΌΠΎΠ»ΠΎΠΊΠ° ΡΠΎΠ΄Π΅ΡΠΆΠΈΡΡΡ Ρ ΠΊΠΎΡΠΎΠ² Ρ Π³ΠΎΠΌΠΎΠ·ΠΈΠ³ΠΎΡΠ½ΡΠΌ ΠΠ Π³Π΅Π½ΠΎΡΠΈΠΏΠΎΠΌ. Π‘ΠΈΠ»Π° Π²Π»ΠΈΡΠ½ΠΈΡ Π³Π΅Π½ΠΎΡΠΈΠΏΠ° ΠΏΠΎ Π»ΠΎΠΊΡΡΡ Ξ²-Lg Π½Π° ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎ ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΊΠ»Π΅ΡΠΎΠΊ ΡΠΎΡΡΠ°Π²Π»ΡΠ΅Ρ 17,7%
COMPUTER SIMULATION OF GAMMA-RAY DETECTOR BASED ON SCINTILLATION CRYSTALS AND SILICON PHOTOMULTIPLIERS
Subject of Research. The paper considers the principles of realization of the gamma-radiation detector based on a silicon photoelectron multiplier and a scintillation crystal with the use of an optical matching scheme. Method. For studying the possible variants of detector creation, computer models were developed in the ZEMAX Software environment, describing radiation propagation process of scintillation in the crystal volume in view of the main processes taking place in the scintillation detector. The model has the same optical characteristics as cesium iodide (CsI). Main Results. Quantitative parameters of the signal and radiation losses in modeled systems were obtained. The information on radiation distribution in the photodetector plane was obtained as well. The optimal sheme for detector creation from the registration effectiveness point of view was established and its geometric parameters were determined. Practical Relevance. The development of the approach gives the possibility to solve the problem of creating highly efficient and miniature scintillation detectors at the expense of a new class of photodetectors - silicon photoelectric multipliers. The results of the research will be useful in the development of scintillation gamma spectrometers and other devices with operating principles based on the methods of scintillation spectrometry and radiometr
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