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RESEARCH OF FRACTAL PROPERTIES OF THE
MICRORELIEF OF THE PROCESSED SURFACES
Urgency of work:
As it is known creation of surfaces with the certain micro
geometrical properties is one of the primary goals of mechanical
engineering. Especially it concerns to surfaces of especially
responsible products of avia-space technology, instrument making,
precision machine-tool construction, etc. Moreover, the question of
maintenance of micro geometry of a surface is especially actual at
development of new technologies of processing of surfaces both
mechanical, and physicochemical ways of processing, in the field of
micro-and
nanotechnology.
Quality of a surface are traditionally characterized by a roughness
– an arithmetic-mean deviation, the maximal height of roughness,
average step of roughness of a structure, etc. and physicomechanical
properties of a superficial layer.
The roughness of a surface as many researchers have shown,
is one of the basic parameters of quality of a surface. In many
cases the micro geometry of a superficial layer predetermines
behavior of a surface during its operation, and in case of micro-and
nanotechnology
the roughness is considered not as secondary structure but as a
property of the material structure.
As a rule, the micro geometry of a superficial layer is considered
as a certain static object which was generated during some
influence. Classically in processing of materials by cutting the
roughness is a geometrical prototype of a trajectory of moving of
the tool which is set by kinematics and modes of processing. On the
other hand during processing power, temperature and other fields are
formed, there is a chemical influence on a surface, there are high
pressures in a zone of contact of the tool and a processable
surface, movement of dispositions, etc. owing to what the structure
of a superficial layer changes. Therefore formation of a surface as
a whole, and microgeometry in particular are the result of the
influence of set of processes, and not just cleanly geometrical
"responses" of action of the tool.
Within the limits of the considered concept of "collective"
formation of a roughness it is possible to tell, that such object as
the microgeometry of a surface is dynamic system. Studying of
dynamic system assumes studying of its properties which are defined
by the some invariant (for example, Lyapunov's parameter, entropy, etc.).
Therefore in this case use of classical geometrical parameters of a
roughness is insufficient or simply impossible. Moreover,
geometrical parameters do not display such important property of a
roughness as dynamic system – evolution.
Thus, new approaches in an estimation of microgeometry of a surface
are necessary and one of such approaches can be use of the theory of
fractals. Application of the theory of fractals will allow to bring
a new parameter for an estimation of a roughness, to create base not
only for fractal classifications, but forecasting of change of
microgeometry during its formation, both at a stage of processing by
technological methods, and at a stage of operation.
The purpose of work
– establishment of regularities of change of fractal microrelief properties of the processed surfaces
Objectives of work
The plan of work
Introduction
1.1.
The parameters describing a condition of a superficial layer of
details of machines.
1.2.
Formation of a microrelief of a surface of a detail during
machining.
1.3.
Influence of a roughness of a surface on operational parameters of
details of machines.
1.4.
The purpose and research problems.
2.1.
Definition of fractal.
2.2.
The basic characteristics of fractals.
2.3.
Bases of R/S – analysis.
2.4.
Conclusions.
3.
Experimental researches of formation of a roughness of surfaces of
details during machining.
3.1.
Technique of carrying out of experimental researches. Devices and
the equipment.
3.2.
Influence of modes of processing at turning
on a roughness of a surface.
3.3.
Influence of conditions of processing by grinding on a roughness of
a surface
3.4.
Influence of conditions of processing PPD
on a roughness of a surface.
3.5.
Conclusions
4.1.
The R/S-analysis talyrond
trace
the processed surfaces.
4.2.
Cellular way of an estimation fractal dimensions of the processed
surfaces.
4.3.
Influence of conditions of processing of a surface on fractal
dimension of a microrelief.
4.4.
Fractal
classification of a microrelief of surfaces.
4.5.
Conclusions.
The conclusion
The list of the literature
Appendix
The literature:
1.
А.А. Потапов, В.В. Булавкин, В.А. Герман и
др. Исследование микрорельефа
обработанных поверхностей с помощью методов фрактальных
сигнатур. // Журнал
технической физики, 2005, том 75, вып. 5. – С. 28-45.
2.
Федер Е. Фракталы. Пер. с англ. – М.: Мир,
1991. – 254 с.
3.
Божокин С.В., Паршин Д.А. Фракталы и
мультифракталы. – Ижевск: НИЦ
«Регулярная и хаотическая динамика», 2001. – 128 с.
4.
Ю.Н. Кликушин. Фрактальная шкала для
измерения формы распределений
вероятности // Журнал радиоэлектроники № 3, 2000. – С. 15-18.
5.
Хакен Г. Синергетика. - М.: Мир, 1980. –
400с.
6.
Иванова В.С., Баланкин А.С., Бунин И.Ж. и
др. Синергетика и фракталы в материаловедении. - М.: Наука, 1994. –
383 с.
7.
Божокин С. В.,Паршин Д.А. Фракталы и
мультифракталы. – Ижевкск: НИЦ ((Регулярная и хаотическая
динамика)),2001,128с.
8.
Р.М. Кроновер. Фракталы и Хаос в
динамических системах. Основы теории. Москва :
Постмаркет,2000.-352с.
9.
Лоскутов А.Ю.,Михайлов А.С. Введение в
синсргетику:Учеб.руководство.-М.:Наука. Гл.ред.
физ.-маг.лит.,1990.272с.-ISBN 5-02-014475-4
Страницы в Интернете:
1.
http://homr.ural.ru~shabum/fractal/index.htm
2.
http://chat.ru/~fractals/index.htm
3.
http://www.visit.net/cplusp/all_96/6n96y1a.htm
4.
http://www.iph.ras.ru/~mifs/rus/danilov.htm
5.
http://www.geocities.com/capecanaveral/2854/
6.
http://archives.math.utk.edu/topics/fractals.html
7.
http://www.cosy.sbg.ae.at/rec/ifs/f-fag.html | |
