I.I. Vulfson¹, Doctor of Technical Sciences (habil.), Professor of the Theoretical and Applied Mechanics Department
E-mail: jvulf@yandex.ru
¹ Saint Petersburg State University for Industrial Technologies and Design

In regard to dynamics issues of machines with cyclic action mechanisms (linkage, cam, stepper, etc..), in the article there is examined influence of nonlinear elastic-dissipative characteristics and nonlinear position function of the actuator on the dynamic stability, the joint forced and parametric vibrations as well as on precise reproduction of the given programmed motion. The methods for parametric resonance suppression are suggested, taking into account slow and fast movements, as well as the amplitude modulation with the high-frequency excitation. The specific resonant mode at the beat frequency is analysed. The studied nonlinear effects are illustrated by the results of computer simulation.

Keywords: forced and parametric vibrations, cyclic mechanisms, dynamic stability, dissipative forces, beats.

References

1. Vulfson I.I. Dynamic analysis for cyclic mechanisms. L.: Mashinostroenie, 1976. – 328 p.
2. Vulfson I.I. Vibrations of machines with cyclic action mechanisms.  Л.: Mashinostroenie, 1990. – 309 p.
3. Vulfson I.I. Cyclic machines’ dynamics. S-Pb.: Politekhnika, 2013. – 425 p.
4. Vulfson I. Dynamics of cyclic machines. Heidelberg, New York, Dordrecht, London: Springer, 2015. – 410 p.  
5. Vulfson I.I. Problem of dynamic parameters’ quasistationarity // Theory of Mechanisms and Machines. 2015. № 1. P. 6–15.
6. Vulfson I.I. Quasistationarity of dynamic modes in cyclic mechanisms forming rheonomic oscillating systems with lattice structure // Journal of Machinery Manufacture and Reliability. 2015. Vol. 44. No. 4. P. 312–318.
7. Mitropolskii Ju.A. Non-stationary vibrations’ asymptotic theory issues. M.: Nauka,  1964. – 432 p.
8. Bogolubov N.N., Mitropolskii Ju.A. Asymptotic methods of non-linear vibrations theory. M.: Fizmatgiz, 1958. – 408 p.       
9. Freman N., Freman P.U. WKB approximation. М.: Mir,  1967. – 168 p.
10. Kauderer G. Nonlinear mechanics. M.: Izd. inostr. lit. 1961. – 777 p.
11. Bolotin V.V. Dynamic stability of elastic systems. M.: Gostekhizdat, 1956. – 600 p.
12. Kolovskii M.Z. High-frequency excitations influence on resonant vibrations in nonlinear systems // Dynamics and safety of machines. Collections of Leningrad Polytechnic Institute. №  26. M., L.: Mashgiz, 1963. P. 7–17.
13. Vulfson I.I. Nonlinear resonant vibrations of a gear at amplitude modulation frequency of high-frequency excitation // Mechanical Engineering and Machine Reliability Issues. 2005. No 6.  P. 17–22.
14. Vulfson I.I. Vibrations of systems with time-dependent parameters // Applied Mathematics and Mechanics. 1969. No 2.  T. 33. P. 331–337.
15. Blekhman I.I. Vibration process and device theory. SPb.: Izd.dom «Ruda i metally», 2013. – 639 p.
16. Vulfson I.I. Low-frequency vibration influence on nonlinear dissipative forces // Applied problems for the vibrations and waves nonlinear theory. Universities’ Proceedings. 2012. No 2. T. 20. P. 1–15.
17. Vulfson I.I. Some nonlinear effects of machine dynamics // Journal of Vibroingeneering. 2008. No. 4. V. 10. P. 442–450.
18. Vulfson I.I., Kolovskii M.Z. Nonlinear problems of machines dynamics. L.: Mashinostroenie, 1968. – 284 p.
19. Panovko Ya.G. Principles of applied theory for vibrations and stroke. L.: Mashinostroenie, 1976. – 320 p.

N.Yu. Nosova¹, post-graduate student of Applied Mechanics Department
E-mail: natahys@mail.ru
V.A. Glazunov¹, Doctor of Technical Sciences (habil.), Professor, Professor of Applied Mechanics Department
E-mail: vaglznv@mail.ru
S.V. Palochkin¹, Doctor of Technical Sciences (habil.), Professor, Head of Applied Mechanics Department
E-mail: palnigs@mail.ru
¹ Moscow State University for Design and Technology

In this paper there is considered a parallel structure mechanism which performs translational motion with actuators located on the base. Also the dynamic model and analysis of the mechanism are presented. Required laws of motion for the input units are determined by solving the inverse task of dynamics. The real laws for output manipulator link motion are determined on the base of solution for the direct problem of dynamics. The initial conditions and feedback factors influence on the error of the real law for output link motion has being analyzed.

Keywords: manipulator of parallel structure, dynamics, task of control, communication equations.

References

1. Merlet J.P. Parallel Robots. Solid mechanics and its applications.- Merlet-Kluwer. // Academic Publishers, 2000. P. 394.
2. Kong X., Gosselin C. Type Synthesis of Parallel Mechanisms. // Springer-Verlag Berlin Heidelberg 2007. P. 272.
3. Gogu G. Structural Synthesis of Parallel Robots. Part 2: Translational Topologies with Two and Three Degrees of Freedom. // Springer Science + Business Media B.V. 2009.
4. Glazunov V.A., Koliskor A.S., Kpainev A.F. Spatial mechanisms of parallel structure. M.: Nauka. 1991. – 94 p.
5. Craig J.J. Introduction to Robotics: Mechanics and Control. – 2nd ed. Reading. – MA: Addisson-Wesley, 1989. – 544 p.
6. Manipulative systems Robot / Korendyasev A.I., Salamandra B.L., Tyves L.I. et al.: ed. by A.I. Korendyasev. M.: Mashinostroenie, 1989. – 472 p.
7. Chablat D., Wenger Ph., Staicu, S. Dynamics of the Orthoglide parallel robot. // UPB Scientific Bulletin, Series D: Mechanical Engineering. 2009. V. 71 (3). P. 3–16.
8. Ur-Rehman R., Caro S., Chablat D., Wenger Ph. Kinematic and Dynamic Analysis of the 2-DOF Spherical Wrist of Orthoglide 5-axis. // 3rd International Congress Design and Modelling of Mechanical Systems CMSM’2009.
9. United States Patent Application Publication. Pub. No.: US 2007/0062321 Al. Pub. Date: Mar. 22, 2007. Chablat D., Wenger Ph. Device for the movement and orientation of an object in space and use thereof in rapid machining. Sainte Luce Sur Loire (FR).
10. Krut'ko P.D. Inverse problems of the dynamics of control systems. Nonlinear models. M.: Nauka. Main Editorial Office for Physical and Mathematical Literature, 1988. – 328 p.
11. Zenkevich S.L., Yushchenko A.S. Principles of manipulated robots’ control: textbook for high schools. – M.: Publishing House of MSTU named after N.E. Bauman, 2000. – 400 p.
12. The dynamics of industrial robots / V.V. Kozlov, V.P Makarov., A.V. Timofeev, E.I. Yurevich. M.: Nauka, 1984. – 336 p.
13. Kolovskiy M.Z. Dynamics of machines. L.: Mashinostroenie, 1989. – 263 p.
14. Popov E.P., Vereshchagin A.F., Zenkevich S.P. Manipulative robots. Dynamics and algorithms. M.: Science, 1978. – 400 p.
15. Kheylo S.V., Glazunov V.A., Palochkin S.V., Vybornov А.P. Control by planar parallel mechanism // Mechanical Industry and Engineering Education. 2014. No 3. P. 2–7.
16. Kheilo S.V., Glazunov V.A., Palochkin S.V. Manipulation mechanisms of parallel structure. Dynamic analysis and Control: a monograph. – M.: MSUDT, 2014. – 87 p.
17. Glazunov V.A., Kheilo S.V. Some of the current problems of the theory of machines and mechanisms: a monograph. – LAP LAMBERT Academic Publishing, 2013. – 62 p.
18. Besekersky V.A. Popov E.P. The theory of automatic control systems. M.: Nauka, 1975. – 768 p.
19. Clavel R. Delta, a fast robot with parallel geometry // In 18th Int. Symp. on Industrial Robots. 1988. P. 91–100.
20. RF Patent 2534706 B 25 J 1/00. Spatial mechanism with four degrees of freedom / N.Yu. Nosova, W.А. Glazunov, S.V. Palochkin, S.V. Kheylo: proprietor is MGUDT - No 2013132024/02; appl. 11.07.2013; publ. 10.12.2014, bull. 34.
21. RF Patent 135283 В 25 J 1/00. Spatial mechanism with five degrees of freedom / N.Yu. Nosova, W.А. Glazunov, S.V. Palochkin, S.V. Kheylo: proprietor is MGUDT - No 2013132023/02; appl. 11.07.2013; publ. 10.12.2013, bull. 34.
22. RF Patent 2536735 В 25 J 1/00. Spatial mechanism with six degrees of freedom / N.Yu. Nosova, W.А. Glazunov, S.V. Palochkin, S.V. Kheylo, Komisaruk L.V.: proprietor is MGUDT - № 2013132023/02; appl. 11.07.2013; publ. 27.12.2014, bull. 36.
23. Synthesis of mechanisms of parallel structure with kinematic interchange / N.Yu. Nosova, V.A. Glazunov, S.V. Palochkin, A.N. Terekhova // Mechanical Engineering and Machines Reliability Issues. 2014. No. 5. Vol. 43. P. 378–383.

N.A. Kostin¹, Doctor of Technical Sciences, Assistant Professor of Technical Subjects Department, Dean of Industrial-Pedagogical Faculty
E-mail:  nikolay-kostin@yandex.ru
¹ Kursk State University

In the article pasty carbonizer, based on amorphous carbon and carbon-nitrogen components – carbamide and ferrocyanide of potash – is offered. The reactions, taking place in the nitro-carbonic atmosphere at different temperatures, are analyzed. High paste effectiveness at the wide range of temperatures from 550 ^оC to 900 ^oC is experimentally proved. Experimental data of studying nitro-carburizing influence on the die steel 5XHM structure and features under highly active medium on the basis of amorphous carbon, carbamide and ferrocyanide of potash is given.

Keywords: thermochemical processing, nitro-carburizing, die steel.

References

1. Przenosił B. Nitro-carburizing. – M.: Mechanical Engineering, 1969. – 212 c.
2. Arzamasov V.B., Volchkov A.N., Golovin V.A. Material engineering and the technology of constructive materials. – M. Academy, 2011. – 448 c.
3. Kostin N.A., Trusova E.V. The research of azotizing paste saturation capacity in low and high temperatures of die steel nitro-carburizing // Scientific Notes: electronic journal of Kursk State University. 2013. No 1. P. 80–86.
4. Kostin N.A., Trusova E.V. Nitro-carburizing of steels 40X13 and 40X5MFS for the strengthening of cutting tool // The technologies of Hardening, Coating and Fixing: Theory and Practice – 2014: Proceedings of 16^th International Scientific and Technical Conference. P. 2. – St. Petersburg, 2014. P. 90–93.
5. RF Patent 2501884 С23С 8/76. Nitro-carburizing method for parts from die steel / N.А. Kostin, Е.V. Trusova, V.I. Kolmykov, D.V. Kolmykov; proprietor is Kursk State University. – appl. No 2011149311\02 оf 02.12.2011; publ. 20.12.2013, bull. 35.

L.P. Botvina¹, Doctor of Technical Sciences (habil.), Chief Researcher
E-mail: botvina@imet.ac.ru
Yu.A. Demina¹, Doctor of Technical Sciences, Senior Researcher
E-mail: deminayulia@mail.ru
I.M. Petrova², Doctor of Technical Sciences, Leading Researcher
E-mail: impetr@mail.ru
I.M. Gadolina², Doctor of Technical Sciences, Senior Researcher
E-mail: gadolina@mail.ru
A.M. Arsenkin¹, Doctor of Technical Sciences, Senior Researcher
E-mail: alex_arsenkin@yahoo.com
¹ Baykov Institute of Metallurgy and Material Science, Russian Academy of Sciences
² Blagonravov Institute of Engineering Science, Russian Academy of Sciences

In the article there are presented results of fatigue tests series on plate samples made from E76F rail steel in the states of delivery and after passing 480 million tones of gross loads on rails. Tests were carried out according to transverse bending scheme at cantilever symmetric loading. Fatigue defects accumulation and fatigue curves were studied; spreading fatigue strength parameters has being evaluated. Results have been proved that the parameters spreading of rail steel samples after exploitation was less then a spread of the same parameters before exploitation. Fatigue strength parameters of samples after exploitation became worse because of microcracks formation closed to the contact fatigue spots and defects occurred at long term exploitation. Fractographic examination of damaged samples was made for studying the cracks formation and development. This fatigue samples examination allowed authors to observe many laminations on fractures and flanks of steel samples in conditions before exploitation as well as after that. Laminations length, their opening and amount were increased after exploitation.

Keywords: long term exploitation, E76F rail steel, mechanical properties, durability.

References

1. Makhutov N.A. Strength and Safety: Fundamental and Applied Research: monograph. М.: Nauka, 2008. – 528 p.
2. Shur Е.А. Rails Spalling: monograph. М.: Intekst, 2012. – 192 с.
3. Smith R.A. Fatigue in Transport. Problems, Solutions and Future Threats // Trans IChemE. 1998. Vol. 76. Part B. P. 217–223.
4. Franklin F.J., Kapoor A. Modelling Wear and Crack Initiation in Rails // Proc. IMechE, Part F: J. Rail and Rapid Transit (special issue). 2007. Vol. 221, No. 1. P. 23–33.
5. Deters L., Proksch M. Friction and Wear Testing of Rail and Wheel Material // Wear. 2005. Vol. 258. P. 981–991.
6. Maya-Johnson S., Ramirez A.J., Toro A. Fatigue Crack Growth Rate of Two Pearlitic Rail Steels // Engineering Fracture Mechanics. 2015. Vol. 138. P. 63–72.
7. Petrova I.М., Gadolina I.V. Evaluation of fatigue strength parameters spreading according to studying the limited number of samples // Works Laboratory. Materials Diagnosis. 2009. No 11. Vol. 75. P. 50–52.
8. Bulloch J.H. The Growth of Fatigue Cracks in Rail Steel // Journal of the South African Institute of Mining and Metallurgy. 1987. Vol. 87. No. 4. P. 93–106.
9. Aglan H., Gan Y.X. Fatigue Crack Growth Analysis of a Premium Rail Steel // Journal of Materials Science. 2011. Vol. 36. P. 389–397.
10. Long-term ageing influence on 45 steel fatigue parameters / I.М. Petrova, I.V. Gadolina, L.R. Botvina, Yu.А. Demina, М.R. Tiutin // Works Laboratory. Materials Diagnosis. 2011. № 1. Т. 77. C. 58–61.
11. Sasaki T. et al. Measurement of Residual Stresses in Rails by Neutron Diffraction // Wear. 2008. No. 265. P. 1402–1407.
12. Kelleher J. et al. The Measurement of Residual Stress in Railway Rails by Diffraction and Other Methods // Journal of Neutron Research. 2003. Vol. 11. Issue 4. P. 187–193.
13. Dhua S.K. et al. Influence of Nonmetallic Inclusion Characteristics on the Mechanical Properties of Rail Steel // Journal of Materials Engineering and Performance. 2000. Vol. 9. Issue 6. P. 700–709.
14. Development of fundamental principles for high fatigue strength steel formation for high speed railway transport / K.V. Grigorovich, А.М. Arsenkin, А.K. Gerber et al. // Proceedings of 3rd International scientific-practice Conference “IntellektTrans 2013”. M.: «Pero» Publishing House, 2013. P. 296–299.

S.N. Ponomarev¹, Doctor of Physic-Mathematic Sciences, leading specialist
E-mail: psgpsg1@ya.ru
V.I. Koshkin², Doctor of Technical Sciences (habil.), Professor, Rector
E-mail: vik.mos@mail.ru
A.D. Shlyapin¹, Doctor of Technical Sciences (habil.), Professor, Head of Materials Science Department
E-mail: 6883412@mail.ru
¹ Moscow State University of Mechanical Engineering
² Sevastopol State University

The phase and structural transformations occurring in the contact zone of copper and lead have been studied during pulsed electric current, rapid melting, excess pressures and rapid cooling of the melt have been studied. At these conditions the main factor for structure formation is forming adiabatic shear bands in copper with normal distribution toward inter-phase boundary. Lead distributes into copper through adiabatic shear bands at a depth by orders of magnitude greater than achievable at classic diffusion. At subsequent accelerated cooling the lead in adiabatic shear bands decays into fine-dispersed inclusions that is impossible at traditional alloying. Also there has being studied the dispersed non-metallic inclusions influence on structural transformations in the system copper-lead at pulsed electric current. Such inclusions make conditions to forming numerous segments of spherical symmetry in the system.

Keywords: monotectic reactions, adiabatic shear band, solid-liquide transformation, contact alloying.

References

1. Fedorchenk I.М., Pugina L.I. Composite sintered antifriction materials. Kiev: Naukova dumka, 1980. – 403 p.
2. Avraamov Yu.S., Shlyapin A.D. Alloys on the Basis of Systems with Restricted Solubility in Liquid State. ­ M.: Interkontakt nauka, 2002. ­– 372 p.
3. RF Patent 71088. Device for processing electrically conductive materials with electric current pulses with registration of parameters at measuring their physic-mechanical properties / I.B. Rudenko, V.I. Koshkin, V.А. Nizhnik, А.D. Shliapin; publ. 27.02.2008; bull. 6.
4. Structural transformations in the contact area of Al–Pb and Fe–Pb metals exposed to the electro-impulse action / V.I. Koshkin, A.N. Kravchenkov, V.A. Nizhnik, I.B. Rudenko, V.V. Rybalchenko, A.D. Shliapin // Mechanical Industry and Engineering Education. 2012. No 1. P. 23–27.
5. Ponomarev S.G., Rybalchenko V.V. The scenarios of electric-pulse alloying development for Cu–Pb system // Mechanical Industry and Engineering Education. 2014. No 1. P. 16–20.
6. Avraamov Yu.S., Nabutovskiy L.Sh., Shliapin A.D. Microstructural features of the solid-liquid interaction of immiscible components systems. M.: МSIU, 2002. – 108 p.
7. Naymark О.B., Sokovikov М.А. Adiabatic Shift Mechanism at High-speed Loading of Materials // Mathematic modeling for systems and processes. 1995. No 3. P. 71–76.
8. Wright T.W. The physics and mechanics of adiabatic shear bands. Cambridge University Press, 2002. – 241 p.

O.S. Naraykin¹, Doctor of Technical Sciences (habil.), correspondent-member of Russian Academy of Sciences, the First Deputy Director, Head of Applied Mechanics Department² 
E-mail: naraikin@kiae.ru
F.D. Sorokin², Doctor of Technical Sciences (habil.), Professor of Applied Mechanics Department
E-mail: sorokin_fd@mail.ru
E.P. Banin¹, engineer-researcher, post-graduate student of Applied Mechanics Department² 
E-mail: evg_banin@gmail.com
¹ «Kurchatov Institute» Research Centre
²  Bauman Moscow State Technical University

In this paper a mathematical model of a ball bearing with torus raceways is considered. The modeling based on the de Mul’s approach. The elements of the stiffness matrix bearing calculated by double differentiating the strain energy of balls unlike other similar works. The objective of this paper is experimental and numerical verification of the de Mul modified approach applied to ball bearings. Elements of stiffness matrix obtained directly from the implementation of the de Mul modified method, are checked in numerical and natural experiments. The experimental and numerical tests showed good agreement among results obtained in a simplified mathematical model.

Keywords: ball bearing, stiffness matrix, finite element method, experimental verification.

References

1. Harris T. A, Kotzalas M.N. Rolling bearing analysis //. CRC Press. Fifth edition, 2006. P. 183–231.
2. Gunduz A., Singh R. Stiffness matrix formulation for double row angular contact ball bearings: Analytical development and validation // Journal of Sound and Vibration. 2013. No 22. Vol. 332. P. 5898–5916.
3. Petersen D. et al. Analysis of bearing stiffness variations, contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects // Mechanical Systems and Signal Processing. 2015. Vol. 50. – P. 139-160.
4. Göncz P. et al. Static capacity of a large double row slewing ball bearing with predefined irregular geometry // Mechanism and Machine Theory. 2013. Vol. 64. P. 67–79.
5. Kania L., Krynke M., Mazanek E. A. Catalogue capacity of slewing bearings // Mechanism and Machine Theory. 2012. Vol. 58. P. 29–45.
6. Göncz P., Drobne M., Glodež S. Computational model for determination of dynamic load capacity of large three-row roller slewing bearings // Engineering Failure Analysis. 2013. Vol. 32. P. 44–53.
7. Singh S. et al. Analyses of contact forces and vibration response for a defective rolling element bearing using an explicit dynamics finite element model // Journal of Sound and Vibration. 2014. No 21. Vol. 333. P. 5356–5377.
8. Wardle F. P., Lacey S. J., Poon S. Y. Dynamic and static characteristics of a wide speed range machine tool spindle // Precision Engineering. 1983. No 4. Vol. 5. P. 175–183.
9. Gargiulo E. P. A simple way to estimate bearing stiffness // Machine Design. 1980. No 17. Vol. 52. P. 107–110.
10. While M. F. Rolling element bearing vibration transfer characteristics: effect of stiffness // Journal of Applied Mechanics. 1979. No 3. Vol. 46. P. 677–684.
11. Kraus J., Blech J. J., Braun S. G. In situ determination of rolling bearing stiffness and damping by modal analysis // Journal of Vibration and Acoustics. 1987. No 3. Vol. 109. P. 235–240.
12. Cao Y., Altintas Y. A. general method for the modeling of spindle-bearing systems // Journal of Mechanical Design. 2004. No 6. Vol. 126. P. 1089–1104.
13. Jones A. B. A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions // Journal of Fluids Engineering. 1960. No 2. Vol. 82. P. 309–320.
14. Leontiev M.K.,  Snetkova E.I. Nonlinear models of rolling bearings in the rotor dynamics // Annals of Moscow Aviation Institute. 2012. No 2. Vol.19. P.134–145.
15. De Mul J.M., Vre J.M.e, Maas D.A. Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction – Part I: General theory and application to ball bearings // Journal of Tribology, 1989. No 111. P. 142–148.
16. De Mul J.M., Vre J.M.e, Maas D.A. Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction – Part II: Application to roller bearings and experimental verification // Journal of Tribology, 1989. No 111. P. 149–154.
17. Hibbitt, Karlsson, Sorensen. ABAQUS/standard user's manual. Hibbitt, Karlsson & Sorensen, 2001. Т. 1.
18. Beyzelman R.D., Zipkin B.V., Perel L.Y. Rolling bearings. Catalog. М.: Mashinostroyenie, 1975. P. 572.

Ju.M. Temis¹, Doctor of Technical Sciences (habil.), correspondent member of Russian Academy of Natural Sciences, Professor of Applied Mathematics Department², Head of Mathematical Modelling and CAD for Gas-Turbine Engines Department
E-mail: tejoum@ciam.ru
A.V. Selivanov¹, Head of Section of Mathematical Modelling and CAD for Gas-Turbine Engines Department, Assistant Lecturer of Applied Mathematic Department² 
E-mail: alexvsel@yandex.ru
I.Ju. Dzeva¹, Junior Researcher of Mathematical Modelling and CAD for Gas-Turbine Engines Department, post-graduate student of Applied Mathematics Department² 
E-mail: dzevavanya@yandex.ru
¹ Baranov Central Institute of Aviation Motor Building
² Bauman Moscow State Technical Sciences

The article is devoted to development of the multidisciplinary mathematical model of a hybrid brush seal. Dependence of the gas pressure distributions and seal elements position requires static aeroelasticity problem to be solved in order to obtain the operating clearance and gas leakage. Iterative approach based on the developed simplified structure and flow models is applied. The seal compliant element is considered as an absolutely rigid pad attached to an elastic support. Gas flow model based on the 2D Reynolds equation is used to compute gas lifting force acting on the compliant elements. Both fast simplified models are verified by comparing with the detailed 3D simulation results. It is shown that pad inclination has significant influence on the lifting force.

Keywords: hybrid brush seal, aeroelasticity, mathematical simulation, Reynolds equation.

References

1. Steinetz B.M., Hendricks R.C., Munson J. Advanced seal technology role in meeting next generation turbine engine goals // NASA Glenn Research Centre Technical Memorandum: NASA/TM–1998-206961. – 11 p.
2. Justak J.F., Crudgington P.F. Evaluation of a film riding hybrid seal // Proc. 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. Sacramento, California, 2006. AIAA Paper 2006-4932. – 9 p.
3. San Andres L., Baker J., Delgado A. Measurements of leakage and power loss in a hybrid brush seal // ASME Journal of Engineering for Gas Turbines and Power, 2009. Vol. 131. Iss. 1. Paper 012505. – 6 p.
4. Dogu Y. Investigation of brush seal flow characteristics using bulk porous medium approach // ASME Journal of Engineering for Gas Turbines and Power. 2005. Vol. 127. P. 136–144.
5. Demiroglu M., Gursoy M., Tichy J.A. An investigation of tip force characteristics of brush seals // Proc. ASME Turbo Expo 2007. Montreal, Canada, 2007. Paper GT2007-28042. – 12 p.
6. Temis J.M., Selivanov A.V., Dzeva I.J. Finger seal design based on fluid-solid interaction model // Proc. ASME Turbo Expo 2013. San Antonio, Texas, USA, 2013. Paper GT2013-95701. – 9 p.
7. Temis J.M., Selivanov A.V., Dzeva I.J. Dynamic analysis of a non-contacting finger seal // Proc. 9th IFToMM International Conference on Rotor Dynamics. Milan, 2014. // Springer. Mechanisms and Machine Science. 2015. Vol. 21. P. 2031–2042.
8. Constantinescu V.N. Gas lubrication. M.: Mashinostroenie, 1968. – 709 p.
9. Bathe K.-J., Wilson E.L. Numerical methods in finite elements analysis. М.: Stroyizdat, 1982. – 448 p.

A.S. Chernyatin¹, Doctor of Technical Sciences, Assistant Professor of Applied Mechanics Department
E-mail: cas@inbox.ru
I.A. Razumovsky², Doctor of Technical Sciences (habil.), Professor, Head of Fracture and Longevity Mechanics Department
E-mail: murza45@gmail.com
Yu.G. Matvienko², Doctor of Technical Science (habil.), Professor, Deputy Director for Research
E-mail: matvienko7@yahoo.com
¹ Bauman Moscow State University
² Blagonravov Institute of Engineering Science, Russian Academy of Sciences

The mutual influence problem of the intersecting surface cracks in three-dimensional structural elements of space was considered. The specialized macro for calculating the stress-strain state of structural elements, which are intersecting planar cracks with the arbitrary orientation and geometry of the front, has being developed. Patterns of loading geometric proportions and types influence on the distribution of the stress intensity factor and T-stresses are studied on the basis of the model problem solution. An example of calculation for these parameters distribution of fracture mechanics along the fronts of intersecting cracks in the pipe under workloads, as well as under the residual stresses effect.

Keywords: intersecting cracks two-parameter fracture mechanics, FEM calculation, the stress intensity factor, T-stresses.

References

1. Strength evaluation of Du-300 pipeline with combined defects in circumferential weld in forced multi-circulation loop of high-power channel-type reactor on the basis of “fracture elimination” conception/ А.V. Sudakov, B.N. Ivanov, D.N. Kovalev, V.А. Kiseliov, А.I. Arzhaev, М.V. Dobrov// Transactions of Polzunov Scientific and Development Association on Research and Design of Power Equipment. Iss. 293. Method for Technical Advance and Reliability Increase of Power Equipment. Sankt Petersburg, 2004. P. 247–255.
2. Chen Y.Z. Evaluation of T-stresses in multiple crack problems of finite plate // Fatigue and Fracture of Engineering Materials and Structure. 2012. Vol. 35. P. 173–184.
3. Chernyatin А.S. Mutual influence evaluation for intersecting through cracks // Higher Education Institutions Transactions: Engineering Building. 2015. No 10 (accepted for printing).
4. Matvienko Yu.G. Models and criteria for fracture mechanics. М.: Phizmatlit, 2006. – 328 p.
5. Matvienko Yu.G. Non-singular Т-stresses in problems of two-parameters fracture mechanics // Works Laboratory. Materials Diagnosis. 2012. No 2. P. 51–58.
6. Semenova М.М., Matvienko Yu.G. Prediction for surface crack path developing at contact loading in conditions of sliding friction // Mechanical Industry and  Engineering Education. 2014. No 2. P. 47–52.
7. Litvinov I.А., Matvienko Yu.G., Razumovsky I.А. On the accuracy of determination of nonsingular component in stress field at crack tip using extrapolation method // Mechanical Industry and Engineering Education. 2014. № 4. С. 43–51.
8. ANSYS, Structural Analysis Guide 11.0, ANSYS inc., 2007.
9. Razumvsky I.А., Chernyatin А.S. Experimental-calculated approach for burden evaluation of full-scale constructions with surface cracks // Machine Building and Reliability Issues. 2009. No 3. P. 35–42.
10. Razumvsky I.А., Chernyatin А.S. Complex analysis for contraction elements with surface cracks // Mechanical Industry and Engineering Education. 2011. No 3. P. 66–73.
11. Morozov Е.М., Nikishkov G.P. Finite element method in fracture mechanics. М.: Nauka, 1980. – 254 p.
12. Shiratori М., Miyoshi Т., Matsushita H. Calculating fracture mechanics. М.: Mir, 1986. – 334 p.
13. Morozov Е.М., Muzemnek А.Yu., Shadsky А.S.  ANSYS in engineer’s hands: Fracture Mechanics. М.: LENAND, 2008. – 456 p.
14. Сhernyatin A.S., Matvienko J.G., Razumovsky I.A. A computational tool for estimating stress fields along a surface crack front // Fatigue and Fracture of Engineering Materials and Structure. 2015. Vol. 38. P. 180–189.
15. Benthem J.R. A quarter-infinite crack in a half-space; alternative and additional solutuins // International Journal of Solid and Structures. 1980. Vol. 16. No. 2.  P. 119–130.
16. Nakamura T., Parks D.M. Determination of elastic T-stress along three-dimensional crack front an interaction integral // International Journal of Solid and Structures. 1992. Vol. 29. P. 1597–1611.
17. Strength design norms for the equipment and pipelines of PNAE G-7-002-86 nuclear power stations. М.: Energoatomizdat. 1989. – 525 p.
18. Makhnenko V.I., Velikoivanenko Е.А., Sheker V.М. Residual welding stresses in circular weld zones of austenitic steel pipelines // Automatic welding. 1998. No 11. P. 32–39.
19. Moschenko М.G., Rubtsov V.S., Korabliova S.А. Thermomechanical analysis based on finite element method for multi-pass welding a Du-300 pipeline joint of high-power channel-type reactor // Material Science Issues. 2011. No 4. P. 1–11.

L.A. Shirokov¹, Doctor of Technical Science (habil.), Professor
E-mail: eduarlev@gmail.com
O.L. Shirokova¹, Doctor of Economical Science, Assistant Professor, Assistant Professor of Informatics and Applied Mathematics Department
E-mail: ol.shirokova@gmail.com
¹ Moscow State University of Civil Engineering National Research University

In the article there is considered substantially simplified algorithm for self-tuning control systems implemented on the basis of programmable logic controllers and operated directly at industrial facilities. The main advantages of the algorithm is to simplify the implementation and reduce the need for computational resources. This is achieved by using the quasi-asymptotic approach in addressing the issue of forming the reference model optimizer and the optimization criterion basis, as well as modification of Gauss – Newton algorithm.

Keywords: automatic control, programmable controller, self-tuning algorithm, industrial facility.

References

1. Aleksandrov А.G. Optimal and adaptive systems. M.: Elektronnaya kniga, 2003. – 278 p.
2. Chernorutsky I.G. Methods for optimization in control theory. Sankt Petersburg: Piter, 2004. – 256 p.
3. Aleksandrov А.G. Adaptive control with a standard model at external disturbances // Automation and Telemetry. 2004. No 5. P. 77–90.
4. Park J., Mackay St., Wright E. Data communications in the monitoring and control systems. М.: Gruppa IDT, 2007. – 480 p.
5. Automatization technology. Soft-hardware complexes and controllers / I.А. Elizarov, Yu.Ph. Martemianov, А.G. Skhirtladze, S.V. Frolov. М.: Machinostroyenie, 2004. – 126 p.
6. Bronnikov А.М., Bukov V.N. Conditions for tracking accuracy of linear system exit follow a standard model of the lowered order // Automation and Telemetry. 2008.  No 3.  P. 60–69.
7. Shirokov L.А. Quasi asymptotic control for quality regulation at automatic optimization and adaption of control systems // Mechanical Industry and Engineering Education. 2015. No 3. P. 2–8.
8. Schedrinov А.V., Fedenko S.V. Adaptive control system with an identifier and indirect standard model // Automation and Contemporary Technologies.  2006.  No 3. P. 8–11.
9. Shirokov L.A. Synthesis of sensitivity compacts for the parameter design automation of linear control systems // Mechanical Industry and Engineering Education. 2008. No 3. P. 22–29.
10. Rutman R.S., Sergeev V.I., Shirokov L.А. Algorithm for searchless self-tuning with a sensitivity pseudo function // Automation for Research in Mechanical Industry and Professional Equipment. Transactions.  1971. P. 3–17.