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Springer Aerospace Technology Kuklev E.A. Shapkin V.S. Filippov V.L. Shatrakov Y.G. Aviation System Risks and Safety Springer Aerospace Technology The Springer Aerospace Technology series isdevoted tothe technology of aircraft and spacecraft including design, construction, control and the science. The books present the fundamentals and applications in all fields related to aerospace engineering. The topics include aircraft, missiles, space vehicles, aircraft engines, propulsion units and related subjects. More information about this series at http://www.springer.com/series/8613 Kuklev E.A. Shapkin V.S. (cid:129) (cid:129) Filippov V.L. Shatrakov Y.G. (cid:129) Aviation System Risks and Safety 123 Kuklev E.A. ShapkinV.S. Saint-Petersburg, Russia Moscow,Russia Filippov V.L. Shatrakov Y.G. Moscow,Russia Saint-Petersburg, Russia ISSN 1869-1730 ISSN 1869-1749 (electronic) SpringerAerospace Technology ISBN978-981-13-8121-8 ISBN978-981-13-8122-5 (eBook) https://doi.org/10.1007/978-981-13-8122-5 ©SpringerNatureSingaporePteLtd.2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregard tojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSingaporePteLtd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore Preface This monograph is one of the first publications attempting to find a solution to the “rareeventsproblem”withoutusingdirectlyanymethodsoftheclassicalreliability theoryandprobabilitytheory.Asabasis,itisproposedtoadoptamethodologyfor calculatingrisksas a“hazard measure” (InstituteofControl Sciences ofRAS)and an expert approach to defining system safety indicators through the “hazard con- dition” within methods using Fuzzy Sets (Fuzzy Sets [1, 2]). In this regard, the bookproposesanewscientificdoctrinecalled“Reliability,Risks,Safety”(RRS)by the authors. The authors are aware that the approaches described in the book should be considered as the first steps in the chosen direction, and work of this kind can be continued, especially since the development of “risk models” in various fields of CA activity has demonstrated very significant results. The main object of the RRS study are random (rare) events occurring with a “near-zero” probability and having a negative result (in adverse impact) for the systemsoperated.Sucheventsareclassifiedinabroadsenseas“catastrophes”,the number of which is small, but the consequences from them are very significant. The problem of “rare events” is declared by the International Civil Aviation Organization(ICAO)asoneofthemostimportantinthedomainofissuesrelatedto ensuring the flight safety. The models of catastrophic phenomena proposed in this paper have nothing in common,exceptthename,withthewell-knowntheoriesofcatastrophesstudiedon the basis of the V. Arnold’s concept [3], where the concept of a catastrophe is a characteristic of the bifurcations of dynamic processes arising under special con- ditions of the connections between elements in structures of the given (known) systems under study (with some states of homeostatic equilibrium, according to G. Malinetskiy [4]). IncatastrophemodelsbyV.Arnold,thenumberofvariables(andprocesses)that determine the surface of homeostatic equilibrium parameters does not exceed 2–5, which does not reflect the properties of actual (real-world) systems. Therefore, different approaches are needed for solving the issues of ensuring system safety when rare events (with damage) occur in systems with a multitude of v vi Preface high-dimensional parameters and random external influences that determine the significance of the risks of serious negative consequences, including those in technical dual-purpose complexes. According to ICAO statistics [5], the number of catastrophes and accidents involving Airbus aircraft with various flight experience is 1–2 for 10–15 years of operation(forvariousaircraftclasses)withatotal“operation”timeofmorethan10 million take-offs and landings. Therefore, for example, such a concept of “risk” as “theprobabilityofanegativeevent”isalreadyinappropriateregardingthereallife. Hypotheses about the measurability of random events in the sense of the axiomatics of probability spaces (according to A. Kolmogorov) cannot be applied in the strict sense to the solution of “rare events” problems. The values of the physical parameters that determine the occurrence of catastrophic phenomena are verysmall and lieintheregionof“heavy tails”oftheprobabilitydensityfunction (pdf). Probability distribution function (prdf) exact analytic expressions with “heavytails”havenotbeenfound,and“rare”eventsofthistypeareimmeasurable (according to A. Kolmogorov). Therefore, the hypothesis of “fuzzy measurability” of rare events (with a “near-zero” probability) has to be considered the main working postulate in the RRS doctrine. Thus, it turns out that the RRS is applicable for the study of highly reliable systems where the high quality required by consumers is guaranteed by high-standardindicatorslike“reliabilityprobability”withvaluesofabout“one”.But the“consumercommunity”requires(legislatively)theprovisionofprecisely“high reliabilityofsystems”.Firstofall,thisrequirementautomaticallyleadstoadecrease intheprobabilityofundesirablefunctionalfailuresinsystems,whichisexactlywhat the community needs. But this gives rise to another problem, the occurrence of hazardous (risk) events in the form of “rare events”. From this follows the need to study other properties of technical systems as well (except quality), namely the “probabilities” of loss offunctional properties by systems, even in very rare cases, butwithgreat“damages”.Thebookshowsthatitismostconvenientandeffectiveto solvetheproblemwiththehelpoftheabove-mentioned“FuzzySets”approach.But thenumber ofinvestigations with this new approachis still very small. The background for the creation of the RRS doctrine and its tools in the form of the system safety theory (SST) are set out below. Developmentandimprovementofsafetysystemsforvariouscomplextechnical systems, and not only aviation ones, should be considered as the main goal for transportsystems,aswellas,forexample,nuclearpowerplantsandcomplexesfor the coming decades. The common difficulty here is the “rare events problem” and the calculation of risks with insufficient statistics. The priority of creating highly reliable systems was stated in FAA documents [6,7],whereA.YounossipointedtotherelationshipbetweenQMSandSMS.The sameideawastakenasthebasisfortheRRSdoctrinethat,inthismanner,aroseas a response to the “challenge” of the world aviation community: “to transit to the provision and monitoring of ATS safety based on the calculation of risks and the theoretical SST methods” set out, inter alia, in this book. Preface vii The NASA materials [8], which the authors of the book managed to get acquainted with, are of great importance for substantiating the RRS positions. The fact is that only sufficient NASA resources allowed for large-scale stochastic imi- tation modeling based on the properties analysis of complex systems, such as pdf andPrdf.TheseresultspresentedpartiallyinChap.3ofthisbook,madeitpossible toconfirmthevalidityofthehypothesesregardingtheessenceofthe“rareevents” problem.Forthis,wehadtorefuse,asfaraspossible,fromprobabilisticindicators and adopt the “Fuzzy Sets” approach. In this regard, it can be argued that the “rare events” problem in civil aviation does not exist anymore, or more precisely, this problem persists only in the PSA. Similarly,it can be stated that the human factors (HF) problem inits traditional interpretation[9]canbesolvedmoreeffectivelyiftheideaofseparatestudyofthe objective technical and economic conditions for the occurrence of “catastrophes” and the study of the possibilities (or motivation) for operators’ properties is con- sidered to be true. Here, it is worth noting that there is a certain similarity in solving issues of the “rareevents”problemintransport(e.g.,incivilaviationandJSCRussianRailways (JSCRR)):atransitiontofuzzyindicatorsofnormalizedfrequenciesofoccurrence of random (hazardous) events in the methodology of calculating risks. But in the practiceofcivilaviationandJSCRR,itisstated(thereisevena“riskanalysisstep” in [10] that the probabilities of certain events can be assigned, up to values of 10−7–10−12). GOST R 51901–2002 standard (Reliability Management) states that events with a probability of 10−6are already next to almost impossible. According totheTFSprovisionsoftheTSB(accordingtotheRRSconcept),onlyacceptable levels of risk can be assigned, for example, through the same frequencies (above). The values of frequencies can be taken from the general statistics (in various probability spaces, probably), as was shown for the first time in the work of M. Kumamoto or be assigned, but in a fuzzy way—through the Fuzzy Sets. Probabilities must be proved and defined in a given probability space on the basis of the analysis of objective properties of the systems under consideration. Inthiscontext,thisbookcanbeusefulasthefirststeptofindwaystosolvethe “rare events problem”, according to the ICAO, but on the ideas of NASA. The first edition of this monograph was published in the publishing house of FSUE State Research Institute of Civil Aviation (GosNII GA) in 2013. Some additional important notes from the authors of the presented manu- script. In the book, the perspective scheme to expose main position of universal theory of aviation safety and security based on risk is demonstrated—approach of ICAO & NASA according to Fuzzy Sets (Berkley School). Probabilistically, positionsofknownPSAaredenotedinthecaseofthesituationwithsystemssoas the “rare events”. Using of the given probable space is not corrected here. The famousworkCATS(Causal Model for AirTransportSafety)proposedconception of cause-and-effect chains based on formal logic rules. It is proposed to conserve only the matrix (1.4) from the page 13 or 15, named as H or {X} and after this to find the EQUATIONS of catastrophes possible in systems under danger factors. Thus Boolean distributive lattice is the foundation of probabilistic conception of viii Preface reliabilitytheorythatallowsusingofKolmogorov’saxiomaticbymeansofmodels of probabilistic spaces. But in case of rare events it is irrational and incorrect. Therefore the risk-oriented approach based on Fuzzy Sets and non-distributive Boolean lattice was adopted in safety system theory. Thereislastpublicationforthetheme:E.Kuklev,V.Zhilinskiy/2018.Accident Risk Assessment for Highly Reliable Aviation Systems in Emergency Situations// Transport and Telecommunication Vol. 19, no. 1, 59–63. Transport and TelecommunicationInstitute,Lomonosova,Latviahttps://doi.org/10.2478/ttj-2018- 0006. Riga, Latvia Kuklev E.A. 2018 References 1. Orlovskiy SA (1981) Problems of decision making with fuzzy source information. ScienceFM,Moscow(inRussian) 2. RybinVV(2007)Fundamentalsofthefuzzysetstheoryandfuzzylogic.Studyguide.STU MoscowStateAviationInstitute,Moscow,p95(inRussian) 3. ArnoldVI(1995)Catastrophetheory.ScienceFM,Moscow(inRussian) 4. MalinetskiyGG,KulbaVV,KosyachenkoSA,ShnirmanMGetal(2000)Riskmanagement. Risk. Sustainable development. Synergetics. Series “Cybernetics”, RAS. Nauka, Moscow, 431pp(inRussian) 5. Documentsofthe37thICAOAssembly(Oct2011,Montreal) 6. YounossyAM(2012)10thingsyoushouldknowaboutsafetymanagementsystems(SMS). SMICG,Washington 7. SMM(SafetyManagementManual):Doc9859_AN474—DocFAA:2012 8. ProbabilisticRiskAssessmentProceduresforNASAManagersandPractitioners—Officeof SafetyandMissionAssuranceNASA.Washington,DC–Aug2002(Version2/2). 9. KozlovVV(2008)Safetymanagement.OJSC“Aeroflot”.Moscow(inRussian) 10. Kuklev E, Zhilinskiy V (2018) Accident Risk Assessment for Highly Reliable Aviation Systems in Emergency Situations. Transp Telecommun 19(1): 59–63. Transport and TelecommunicationInstitute,Lomonosova,Latvia.https://doi.org/10.2478/ttj-2018-0006. About This Book The paper describes general principles of assessing the operational safety of complex aviation and technical systems from the perspective of the methodology for calculating risks of occurrence of negative random rare events, such as crashes or catastrophes (or serious aviation accidents, e.g., with civil aircraft). For the first time, a general scheme for solving the problem of rare events is proposed that is based on approaches using Fuzzy Sets. Such an approach makes it possible to assess risk appearance of possible consequences and to solve quite reasonably a numberofproblemsusingtheanalysisofpropertiesofrandomeventswithnearly- zero or “almost -zero” probability of occurrence. The paper also substantiates the necessity for developing a new doctrine for assessing the system safety within the “Reliability, Risks, Safety” paradigm, which in a number of special cases can be adoptedasanalternativeandcomplementarytothewell-knowntraditionalmethod of probabilistic safety analysis (“PSA”), which is the main analysis tool in the classical reliability theory for the system safety under the ICAO concept.1 In the book, so traditional methods such as “Poisson distribution” and “Bayes approach” are completely denoted because theone is“dubious tool” for extracting some information from “zero”. For specialists in aviation activity safety and flight safety. Kuklev E.A., Professor, Doctor of Technical Sciences Shapkin V.S., Professor, Doctor of Technical Sciences Filippov V.L., General Director Shatrakov Y.G., Professor, Doctor of Technical Sciences 1ICAO—InternationalCivilAviationOrganization(Montreal—Canada). ix

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