Tribo-Fatigue (TF) TF: Main Terms New Research Field Methodology of TF Stages of Progress of TF SI-SeriesTest Machines Results of WFT TF: Standards TF: Intern. Symposiums Books Contacts

 


 

L.A SOSNOVSKIY

RISK

Mechanothermodynamics of Irreversible Damages

 

Reviewers:  Professor L.G Krasnevsky, Doctor of technical sciences, Corresponding Member of the National Academy of  Sciences of Belarus (Institute of Machines Mechanics of the National Academy of Sciences of Belarus);

Professor V.Y Negrey, Doctor of technical sciences (Belarusian State University of Transport)

 

CONTENTS

PREFACE…………………………………… ………………………………………………….5

1        SOME METHODS OF RISK, SAFETY, DAMAGE ASSESMENT…………………….9

Detailed review of the known methods of risk and safety assessment is beyond the scope of this small work. We will briefly analyze only some concepts developed for technical objects.

1.1  Bolotin approach……………………………………………………………………..11

1.2  Farmer curve………………………………………………………………………....13

1.3  Zhurkov-Kuksenko-Petrov criterion……………………………………………..…..17

2        ANALYSIS OF OBJECTS STATE……………………………………………………….21

Technical objects depending on the real complex of loading conditions may be in different mechanical states, for instance in damaged state, in critical (limiting) state, etc. It is clear that both risk and safety of their service are conditioned by the level of damaging. Some developed in tribo-fatigue methods  of active systems degradation assessment based on complex interaction of damaging phenomena are briefly presented below.

2.1  General analysis…………………………………………….……………………..…23

2.2  Damageability …………………………………………….……………………..…..31

2.3  Translimiting states……………………………………….….…...............................54

3        RISK AND SAFETY CONCEPT………………………………………………………....65

We formulate the notion both of risk and safety without any connection with the subjective assessment of material losses – it is defined simply by relation between favorable and unfavorable events, situations, phenomena. The method and some results of quantitative analysis of the relation of such a kind form the basis for the developed concept of risk and.

3.1  Notion of risk ………………………………………………….……………………67

3.2  Operative characteristic of risk ……………………………....……………………..71

3.3  Risk and safety……………………………………………...…………………….....75

3.4  Force-major conditions…………………………………….………………………..89

3.5  Risk management………………………………………….………………………...91

4        RISK ANALYSIS EXAMPLES……………………………….………………………….95

The simplest examples of quantitative analysis of risk in technology, nature, society given below is more likely of  methodological than practical significance: it is important to show wide applicability and to understand usefulness of the developed concept of risk and safety.

4.1  Materials quality ……………………………………………………………………97

4.2  Toothed gearings workability…………………………….…..…………………....103

4.3  Motion safety……………………………………………..………………………..109

4.4  Illness……………………………………………………………………………....111

4.5  Good and evil………………………………………………………………………117

4.6  Bad summer………………………………………………………………………..127

5        DESIGN ACCORDING TO SAFETY CRITERION………………………………….129

Principles of design of the most important systems – active systems of machines and equipment introduced in tribo-fatigue are discussed below. If durability condition is recorded according to risk and/or safety parameters, then the defining dimensions of the elements of the system are estimated according to these criteria.

5.1  Acceptable risk…………………………………………….…………………...….131

5.2  Logarithmic safety……………………………………………………………..….137

5.3  Material loss ……………………………………………………………………....144

6        L-RISK AND GOLDEN PROPORTION………………………………………………147

The developed concept of risk and safety turns out to contain golden proportion, therefore it is related to fundamental results. Here we will reflect about life, death and destruction of the system – and about golden vurf.

6.1  General notions. Golden risk…………………………………..…………………..149

6.2  Golden sections of operative L-risk characteristic…….….…………………….…154

6.3  Golden sections of operative Sp-safety characteristic….…………………….……173

6.4  Life as a special way of damage accumulation……………………………………177

7        A-EVOLUTION……………………………………………………….…………………201

The author added one more theory of evolution to many known ones: risk and safety relation is the main governing parameter (or vector) of any system development. It turns out that motion produces change in location, information, damaging, entropy and risk of the system existence and therefore the system experiences multiple different states, first subcritical, then translimiting.

7.1  Two types of evolution…………………………………………………….…..…..203

7.2  Evolution stages……………………………………………………….………...…212

7.3  Motion, information, damaging……………………………………………………222

7.4  Entropy and damaging……………………………………………………………..239

7.5  Entropy and probability……………………………………………………………247

8        WHAT IS INTELLECT NEEDED FOR?.....…………………..…………………........251

If the basic results of our investigation and research are summarized briefly and then are generalized, it appears that in the end the fundamental question appears: what is Intellect needed for?

The author’s answer to this question is just another conjecture. Intellect is needed to maintain necessary balance between safety and risk for each system: be it small or big, living or not living, – it seems reasonable to say that its existence in time is governed by golden dependencies.

8.1  L-risk definition……………………………………………………………………253

8.2  L-risk assessment…………………………………………………………………..254

8.3  L-risk nature……………………………………………..………………………....255

8.4  L-risk and motion………..………………………………………………………...256

8.5  What Intellect is needed for?..………………….………………………………….257

8.6  Information quality……………………………..………………………………….260

SUPPLEMENTARY SECTION: Investigation of damages………………………..…269

Methods of experimental damage investigation and L-risk assessment using the following models are presented: regular mesh (nervous system model), irregular mesh (model of a human being), complex of special meshes (chess model) and physical model – tribo-fatigue toy which allows to multiple different phenomena to be imitated.

S.S. 1 Nervous system…………………………………………………………….…...271

1.1 Model………………………………………………….…………………...271

1.2 Effect and damage………………………………….……………………...277

1.3 Damage configurations……………………………….……………………285

S.S. 2 Game rules and capabilities of a model………………………………………...287

S.S. 3 Human being as a system……………………………………………………….292

S.S. 4 Chess game……………………………………………………………………..294

S.S. 5 L-risk analysis ………………………………………………………………….297

S.S. 6 Tribo-fatigue toy…………………………………………….………………….297

MAIN DESIGNATIONS……………………………………………………..………….301

BIBLIOGRAPHY……………………………………………………….……………….306

SUBJECT INDEX………………………………………………………………………..310

 

About the author

 

Professor Leonid A. Sosnovskiy is the author of more than 300 scientific papers, 12 books, 3 fundamental reference books, 4 textbooks. He developed theoretical and experimental fundamentals of tribo-fatigue.

 

Doctor of technical sciences,

Honored Scientist of the Republic of Belarus,

Laureate of State Prize of Ukraine,

Chief of the tribo-fatigue laboratory of the Institute of Mechanics and Machines Reliability

of the National Academy of Sciences of Belarus,

General Director of S&P Group TRIBOFATIGUE Ltd.,

Professor of Belarusian State University of Transport,

Honorary Citizen of the Town of Chechersk.

 

Professor Leonid A. Sosnovskiy graduated from Leningrad Mining Institute named after Plekhanov, did his post graduate studies in CNIITMASH (Moskow).

He worked at Alexandrovsk Machine Building Plant (the Urals), Perm Polytechnic Institute, All Union Research Institute of Compressor Machine Building (Ukraine).

 

Since 1980 he has been working in Belarus.

 

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