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SinuTrain 4.8 software tools for NC programming of five-axis milling
Beháň, Jakub ; Trčka, Tomáš (referee) ; Polzer, Aleš (advisor)
The diploma thesis deals with preparing the production process of the winning prize, which contains a selection in the form of a hyperbolic paraboloid in its upper part. The work is divided into four main chapters. First of all, the introduction part of the diploma thesis presents the possibilities of programming in the Sinumerik control system. Next, the mathematical requirements of the selected surface - hyperbolic paraboloid - are explained. The practical part consists of creating an NC program where all the theoretical knowledge from the introduction is applied. Finally, the diploma thesis ends with an economic evaluation of the selected element.
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Mathematical model of road geometrics
Krist, Thomas ; Kokrda, Lukáš (referee) ; Porteš, Petr (advisor)
This bachelor deals with road modeling. At the beginning there is a short overview of the history, which explains the context of historical events and road communications. In the next chapter there are two road models described. First is a model, which by its principle reminds the finite element method and the second is a geometric model, which is described by geometric curves. In this work, emphasis is placed on the second method, which is described in detail. In Chapter 5, a road model is finally constructed and described by equations.
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A Cutting Tool for Drilling of Constructional Materials
Stavinoha, Petr ; Zouhar, Jan (referee) ; Píška, Miroslav (advisor)
This thesis deals with the analysis of drilling technology of building materials and design of drilling tools. The thesis analyzes a given cutting materials and usability their applications for drilling of building materials. Further, the thesis deals with the creation of 3D model of drilling tool in SolidWorks environment and preparation of CNC program for cutting centre SP 208 SY which is controlled by Sinumerik system.
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Exhibition Pavilion in Třinec
Toman, Tomáš ; Barnat, Jan (referee) ; Pilgr, Milan (advisor)
Bachelor thesis deals with the design of load carrying steel structure of Exhibition pavilion in Třinec. Pavilion is of rectangular shape with dimensions 36 x 42 m , and the main load carrying structure in the transverse direction is double pinned parabolic arch, with height of 15 m. Lateral stability is achieved by bracing systems, and stability in the transverse direction, is achieved by the arch itself. The whole design is done according to relevant ČSN EN standards.
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The Reflection of Franz Kafka's Writing in the Works of Villy Sørensen
Foktová, Martina ; Březinová, Helena (advisor) ; Hartlová, Dagmar (referee)
This thesis deals with the analysis and interpretation of short stories "The murder case - Kafka's idyll" and "Tiger in the kitchen" from the collection of stories Sære historier (1963) by Villy Sørensen. The primary aim of this thesis is to distinguish a similarity between the short stories of Villy Sørensen and the works of Franz Kafka. The author works on the assumption that both writers use parable as their main means of expression. The first chapter of the thesis concerns Villy Sørensen and the time he lived, together with the fantastic prose, which he represents. Subsequently the author characterizes the parable with definitions and examples from world literature. In analysis of the short story "The murder case", the reader will not just see an interpretation of story as it is; a comparison is also made with The Trial by Franz Kafka. Lastly there is an analysis of the short story "Tiger in the kitchen".
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Algebraic Curves in History and School
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
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Algebraic curves in history and school
Fabián, Tomáš ; Kvasz, Ladislav (advisor) ; Vondrová, Naďa (referee)
TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra
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Secondary school conics with internet
Effenberger, Věra ; Hromadová, Jana (advisor) ; Karger, Adolf (referee)
Title: Utilization of the internet by teaching conics at high school Author: Bc. Věra Effenberger Department: Department of Mathematics Education Supervisor: RNDr. Jana Hromadová, Ph.D. Supervisor's e-mail address: Jana.Hromadova@mff.cuni.cz Abstract This diploma thesis is dealing with conics' problems. It is mainly destined for high school (or university) teachers of descriptive geometry and for students too. It can by used in aid of education of conics or by self-study, because it includes many of illustrative pictures and dynamic applets made in the program GeoGebra, which support the written theoretical text. In the work are enumerated definitions, properties and various constructions of individual conics. Further there is their origin as an intersection of a right circular cone (as the case may be of a right circular cylinder) with a plane, their osculating circle and conjugate diameters. Compilation of examples constitutes an addition of this work. The examples have various difficulty and also can serve as a control over got knowledge. Keywords: ellipse, hyperbola, parabola, foci, tangents, normals, construction of conics
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SinuTrain 4.8 software tools for NC programming of five-axis milling
Beháň, Jakub ; Trčka, Tomáš (referee) ; Polzer, Aleš (advisor)
The diploma thesis deals with preparing the production process of the winning prize, which contains a selection in the form of a hyperbolic paraboloid in its upper part. The work is divided into four main chapters. First of all, the introduction part of the diploma thesis presents the possibilities of programming in the Sinumerik control system. Next, the mathematical requirements of the selected surface - hyperbolic paraboloid - are explained. The practical part consists of creating an NC program where all the theoretical knowledge from the introduction is applied. Finally, the diploma thesis ends with an economic evaluation of the selected element.
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