Unified summation equations and their applications in tribology wear process

K. Wierzcholski

doi:10.2478/bpasts-2013-0040

Unified summation equations and their applications in tribology wear process

Bulletin of the Polish Academy of Sciences Technical Sciences ◽

10.2478/bpasts-2013-0040 ◽

2013 ◽

Vol 61 (2) ◽

pp. 405-417 ◽

Cited By ~ 1

Author(s):

K. Wierzcholski

Keyword(s):

Translation Operator ◽

Wear Process ◽

Recurrence Equations ◽

New Form

Abstract This paper presents some applications of summation equations with regard to the calculation prognosis of micro-bearing wear parameters. Summation equations are presented in a new form of difference and recurrence equations where the unknown micro-bearing wear function occurs as the argument of the reciprocal unified operator of summation (UOS). In this paper the properties of the UOS and reciprocal UOS as well as the unitary translation operator (UTO) are defined and applied to a micro-bearing wear determination. The approach of both dual and interaction between summation and recurrence equations and micro-bearing wear determination, makes this paper unique.

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Control contribution for wear bearing recurrence process

Bulletin of the Polish Academy of Sciences Technical Sciences ◽

10.2478/bpasts-2014-0075 ◽

2014 ◽

Vol 62 (4) ◽

pp. 691-700

Author(s):

K. Wierzcholski ◽

A. Miszczak

Keyword(s):

Control Problem ◽

Variable Coefficients ◽

The Other ◽

Infinite Time ◽

Wear Process ◽

Factor Method ◽

Recurrence Equations ◽

Other Hand ◽

Operation Process ◽

Methods Of Control

Abstract This paper presents the methods of control problem solutions using recurrence equations implementation and UOS transformation for the bearing wear estimation during the finite and infinite time units of an operation process. If we have two wear value increase processes then very important is information which process is divergent more slowly. On the other hand, in comparison with two convergent processes we must decide which process is convergent more quickly. The wear process is determined mostly by the summation factor method. Such a method is applied for the solutions of recurrence equations with variable coefficients

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Fine Structure of Platelet Interaction with a New Microcrystalline Collagen Preparation

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100050305 ◽

1974 ◽

Vol 32 ◽

pp. 58-59

Author(s):

W. H. Zucker ◽

R. G. Mason

Keyword(s):

Fine Structure ◽

Platelet Aggregation ◽

Hydrochloric Acid ◽

Whole Blood ◽

Platelet Adhesion ◽

Hemostatic Agent ◽

Native Collagen ◽

Fibrillar Morphology ◽

Clinical Interest ◽

New Form

Platelet adhesion initiates platelet aggregation and is an important component of the hemostatic process. Since the development of a new form of collagen as a topical hemostatic agent is of both basic and clinical interest, an ultrastructural and hematologic study of the interaction of platelets with the microcrystalline collagen preparation was undertaken.In this study, whole blood anticoagulated with EDTA was used in order to inhibit aggregation and permit study of platelet adhesion to collagen as an isolated event. The microcrystalline collagen was prepared from bovine dermal corium; milling was with sharp blades. The preparation consists of partial hydrochloric acid amine collagen salts and retains much of the fibrillar morphology of native collagen.

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The staining pattern of the tropomyosin sequence is displayed in a new paracrystal

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100142372 ◽

1986 ◽

Vol 44 ◽

pp. 150-151

Author(s):

M.K. Lamvik ◽

L.L. Klatt

Keyword(s):

Amino Acid ◽

Amino Acid Sequence ◽

Staining Pattern ◽

Banding Patterns ◽

Mass Thickness ◽

New Form

Tropomyosin paracrystals have been used extensively as test specimens and magnification standards due to their clear periodic banding patterns. The paracrystal type discovered by Ohtsuki1 has been of particular interest as a test of unstained specimens because of alternating bands that differ by 50% in mass thickness. While producing specimens of this type, we came across a new paracrystal form. Since this new form displays aligned tropomyosin molecules without the overlaps that are characteristic of the Ohtsuki-type paracrystal, it presents a staining pattern that corresponds to the amino acid sequence of the molecule.

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