Article

Title of the article STATIC CORE STABILITY OF MECHANICAL SYSTEMS WITH BRANCHING
Authors

Chigarev A.V., Doctor of Physical and Mathematical Sciences, Professor, Head of the Department of Theoretical Mechanics of the Belarusian National Technical University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Borisov A.V., Ph.D. in Technical Sciences, Associate Professor of the Department of Advanced Mathematics of the Branch FGBOY VPO "NIU Moscow Power Engineering Institute" in Smolensk, Russia

In the section BIOMECHANICS
Year 2014 Issue 4 Pages 95-98
Type of article RAR Index UDK 531.2 Index BBK  
Abstract

The study of static stability of core mechanical system with branching units corresponding to the portable foot and two hands. The concrete example of a model in the form 11-links anthropomorphic system in the phase of support on one leg. The resulting generalization of the solution for the case of systems with an arbitrary number of links. A comparison with the model without branching, highlights the differences and the reasons that caused them. Numerically calculated zone of stability for equilibrium anthropomorphic mechanical model. Modeling of actuators in the joints- the joints is realized in the form of spiral springs. This model can be used in the practical design of anthropomorphic robots and exoskeletons to determine the minimum force that must be applied in the area of large joints-joints mechanism for maintaining the vertical static poses.

Keywords branching, anthropomorphic rod mechanical system, static stability, the hinge-joints, stiffness of springs, pillar phase, generalization
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Bibliography
  • Chigarev A.V., Borisov A.V. Modelirovanie i opredelenie kriteriev staticheskoi ustoichivosti endo- i ekzoskeleta [Modeling and static stability criteria endo- and exoskeleton]. Mekhanika mashin, mekhanizmov i materialov – Mechanics of machines, mechanisms and materials, 2013, no. 2(23), pp. 83-88.

  • Merkin D.R. Vvedenie v teoriiu ustoichivosti dvizheniia [Introduction in the theory of motion stability]. Moscow, Nauka, 1971. 312 p.

  • Tsigler G. Osnovy teorii ustoichivosti konstruktsii [Fundamentals of the theory of structures’ stability]. Moscow, Mir, 1971.


Title of the article The deformations of the craniofacial complex of cross-bite
Authors

Bosiakov S.M., PhD in Physical and Mathematical Sciences, Associate Professor of the Department of Theoretical and Applied Mechanics of the Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Vinokurova A.V., Graduate Student of the Mechanical Faculty of the Technology University, Rzheshuv, Poland (Rzeszow University of Technology)

Dosta A.N., PhD in Medical Sciencies, Associate Professor of the Department of Orthopedic Dentistry of the Belarusian State Medical University, Minsk, Republic of Belarus

In the section BIOMECHANICS
Year 2014 Issue 4 Pages 87-94
Type of article RAR Index UDK 539.3+612.311 Index BBK  
Abstract The finite element modeling of the stress-strain state of a human skull during maxillary expansion using different designs of the orthodontic device HYRAX is carried out. The finite-element models of the craniofacial complex and supporting teeth are obtained on the basis of the tomographic data. Orthodontic appliance designs differ in the locations of the screw relative to the palate. The design with the location of the device rods and the screw in the same horizontal plane as well as the design with the location of the screw on 8 mm closer to the palate relative to the horizontal position are considered. Activation of the screw is carried out on a half turn. The displacements vector fields of a intact skull, a skull with a palate cleft, and the supporting teeth are obtained. Regions of the largest displacements of the skull bone structures are defined for different designs. Influence of the orthodontic appliance design on displacements of the supporting teeth is analyzed. The results can be used for the design of devices HYRAX for the treatment of cross-bite with taking into account the patient individual features.
Keywords rapid maxillary expansion, craniofacial complex, crossbite, palate cleft, finite element modeling, orthdontic appliance HYRAX
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Bibliography
  • Chaconas S.J., Caputo A.A. Observation of orthopedic force distribution produced by maxillary orthodontic appliances. Am. J. Orthod, 1982, vol. 82, pp. 492-501.
  • Isaacson, R.J., Wood J.L., Ingram A.H. Forces produced by rapid maxillary expansion. Part I. Design of the force measuring system. Angle Orthod, 1964, vol. 34, pp. 256-260.
  • Isaacson R.J., Ingram A.H. Forces produced by rapid maxillary expansion. Part II. Forces present during treatment. Angle Orthod, 1964, vol. 34, pp. 261-270.
  • Sander C. [et al.]. Initial results regarding force exertion during rapid maxillary expansion in children. J. Orofacial Orthoped, 2006, vol. 67, pp. 19-26.
  • Landes C.A. [et al.]. Comparison of bipartite versus tripartite osteotomy for maxillary transversal expansion using 3-dimensional preoperative and postexpansion computed tomography data. J. Oral Maxillofacial Surg, 2009, vol. 67, pp. 2287-2301.
  • Zimring, J.F., Isaacson R.J. Forces produced by rapid maxillary expansion. Part III. Forces present during retention. Angle Orthod, 1965, vol. 35, pp. 178-186.
  • Timms, D.J. A study of basal movement with rapid maxillary expansion. Am. J. Orthod, 1980, vol. 77, pp. 500-507.
  • Boryor A. [et al.]. Stress distribution and displacement analysis during an intermaxillary disjunction - A three-dimensional FEM study of a human skull. J. Biomech, 2008, vol. 41, pp. 376-382.
  • Iseri H. Biomechanical effects of rapid maxillary expansion on the craniofacial skeleton, studied by the finite element method. Eur. J. Orthod, 1998, vol. 20, pp. 347-356.
  • Jafari A., Shetty K., Kumar M. Study of stress distribution and displacement of various craniofacial structures following application of transverse orthopedic forces- a three-dimensional FEM study. Angle Orthod, 2003, vol. 73, no. 1, pp. 12-20.
  • Lee H. [et al.]. Maxillary expansion in customized finite element method models. Am. J. Orthod. Dentofacial Orthop, 2009, vol. 136, no. 3, pp. 367-374.
  • Ludwig B. [et al.]. Application of a new viscoelastic finite element method model and analysis of miniscrew-supported hybrid hyrax treatment. Am. J. Orthod. Dentofacial Orthop, 2013, vol. 143, no. 3, pp. 426-435.
  • Pan X. [et al.]. Biomechanical Effects of Rapid Palatal Expansion on the Craniofacial Skeleton with Cleft Palate: A Three-Dimensional Finite Element Analysis. Cleft Palate-Craniofacial J, 2007, vol. 44, no. 2, pp. 149-154.
  • Provatidis C. [et al.]. On the FEM modeling of craniofacial changes during rapid maxillary expansion. Med. Eng. Phys., 2007, vol. 29, pp. 566-579.
  • Wang D. [et al.]. Biomechanical analysis of rapid maxillary expansion in the UCLP patient. Med. Eng. Phys., 2009, vol. 31, pp. 409-417.
  • Holberg C. [et al.]. Biomechanical analysis of maxillary expansion in CLP patients. Angle Orthod, 2007, vol. 77, pp. 280-287.
  • Tanne K., Sakuda M. Biomechanical and clinical changes of the craniofacial complex from orthopedic maxillary protraction. Angle Orthod, 1991, vol. 61, no. 2, pp. 145-152.
  • Yu H.S. [et al.]. Three-dimensional finite-element analysis of maxillary protraction with and without rapid palatal expansion. Eur. J. Orthod, 2007, vol. 29, pp. 118-125.
  • Zhao L., Herman J.E., Patel P.K. The structural implications of a unilateral facial skeletal cleft: a three-dimensional finite element model approach. Cleft Palate-Craniofacial J, 2008, vol. 45, no. 2, pp. 121-130.
  • Han U.A., Kim Yo., Park J.U. Three-dimensional finite element analysis of stress distribution and displacement of the maxilla following surgically assisted rapid maxillary expansion. J. Cranio-Maxillofacial Surg, 2009, vol. 37, pp. 145-154.
  • Gautam P., Zhao L., Patel P. Biomechanical response of the maxillofacial skeleton to transpalatal orthopedic force in a unilateral palatal cleft. Angle Orthod, 2011, vol. 81, no. 3, pp. 503-509.
  • Holberg C., Rudzki-Janson I. Stresses at the cranial base induced by rapid maxillary expansion. Angle Orthod, 2006, vol. 76, pp. 543-550.
  • Holberg C., Steinhauser S., Rudzki-Janson I. Rapid maxillary expansion in adults: cranial stress reduction depending on the extent of surgery. Eur. J. Orthod, 2007, vol. 29, pp. 31-36.
  • Provatidis C. [et al.]. In vitro validated finite element method model for a human skull and related craniofacial effects during rapid maxillary expansion. Proc. Inst. Mech. Eng., Part H: J. Eng. Med., 2006, vol. 220, pp. 897-907.
  • Tanne K. [et al.]. Biomechanical effect of anteriorly directed extraoral forces on the craniofacial complex: a study using the finite elements method. Am. J. Orthod. Dentofacial Orthop, 1989, vol. 95, no. 3, pp. 200-207.
  • Tanne K., Hiraga J., Sakuda M. Effects of directions of maxillary forces on biomechanical changes in craniofacial complex. Eur. J. Orthod, 1989, vol. 11, pp. 382-391.
  • Kragt G., Duterloo H.S., Ten Bosch J.J. The initial reaction of a macerated human skull caused by orthodontic cervical traction determined by laser metrology. Am. J. Orthod, 1982, vol. 81, pp. 49-56.
  • Wood S.A. [et al.]. The effects of modeling simplifications on craniofacial finite element models: The alveoli (tooth sockets) and periodontal ligaments. J. Biomech, 2011, vol. 44, pp. 1831-1838.
  • Susami T., Kuroda T., Amagasa T. Orthodontic treatment of a cleft palate patient with surgically assisted rapid maxillary expansion. Cleft Palate-Craniofacial J., 1996, vol. 33, no. 5, pp. 445-449.
  • Ghoneima A. [et al.]. Effects of rapid maxillary expansion on the cranial and circummaxillary sutures. Am. J. Orthod. Dentofacial Orthop, 2011, vol. 140, pp. 510-519.
  • Weissheimer A. [et al.]. Immediate effects of rapid maxillary expansion with Haas-type and hyrax-type expanders: A randomized clinical trial. Am. J. Orthod. Dentofacial Orthop, 2011, vol. 140, pp. 366-376.
  • Memikoglu T.U.T., Iseri H. Effects of a bonded rapid maxillary expansion appliance during orthodontic treatment. Angle Orthod, 1999, vol. 69, no. 3, pp. 251-256.
  • Majourau A., Nanda R. Biomechanical basis of vertical dimension control during rapid palatal expansion therapy. Am. J. Orthod. Dentofacial Orthop, 1994, vol. 106, pp. 322-328.
  • Braun S. [et al.]. The biomechanics of maxillary sutural expansion. Am. J. Orthod. Dentofacial Orthop, 2000, vol. 118, pp. 257-261.
  • Chung C.H., Font B. Skeletal and dental changes in the sagittal, vertical, and transverse dimensions after rapid palatal expansion. Am. J. Orthod. Dentofacial Orthop, 2004, vol. 126, pp. 569-575.

Title of the article

Assessment of the mechanical quality of structural steels by their ability to resist brittle fracture at uniaxial tension

Authors

Meshkov Iu.Ia., Corresponding Member of the National Academy of Sciences of Ukraine, Doctor of Technical Science, G. V. Kurdyumov Institute for Metal Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Shiian A.V., Candidate of Physical and Mathematical Sciences, Senior Researcher of the G. V. Kurdyumov Institute for Metal Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

Soroka E.F., Advanced Student of the G. V. Kurdyumov Institute for Metal Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

In the section TECHNOLOGICAL MECHANICS
Year 2014 Issue 4 Pages 75-81
Type of article RAR Index UDK 669.01:539.4;539.2 Index BBK  
Abstract Theory on possibility to evaluate mechanical quality of structural steels as their possibility to resist brittle fracture is presented. It is exhibited that characteristic of mechanical stability Kms developed earlier can be used for this purpose. Technique for evaluation of alloys' quality by the extent of closeness of ductility &#968k and mechanical stability Kms to their optimal values at given strength &#9630,2 is developed. New "indicator" for quality of structural steels is offered - this is the measure of quality by the mechanical stability Kms at given strength &#9630,2, which represents their resistibility to brittle fracture. Based on interrelation of properties "ductility - strength - mechanical stability", statistically reliable technique for ranking of alloys by the levels of mechanical quality is elaborated. Estimation of the mechanical quality and ranking by this property is executed for several structural steels.
Keywords

mechanical stability, brittle fracture, optimization curve, the measure of mechanical quality, the level of mechanical quality

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Bibliography
  • Sorokin V.G. Stali i splavy. Marochnik [Steels and alloys. Grade guide]. Moscow, Intermet. Inzhiniring, 2001. 608 p.

  • Shmykov A.A. Spravochnik termista [Guide of heat-treater]. Moscow, Mashgiz, 1961. 392 p.

  • Tylkin M.A. Spravochnik termista remontnoi sluzhby [Directory treater of repair service]. Moscow, Metallurgiia, 1981. 648 p.

  • Kotrechko S.A., Meshkov Iu.Ia. Predel'naia prochnost'. Kristally, metally, konstruktsii [Ultimate strength. Crystals, metals, structure]. Kiev, Nauk. dumka, 2008. 295 p.

  • Kotrechko S.A., Meshkov Iu.Ia., Shiian A.V. Mekhanicheskaia stabil'nost' - universal'naia mera soprotivleniia perekhodu v khrupkoe sostoianie metalla [Mechanical stability - universal measure of the transition resistance to brittle state of metal]. Uspekhifizikimetallov - Progress in metal physics, 2009, no. 2, pp. 207-228.

  • Kotrechko S.A. [et al.]. Zakonomernosti izmeneniia pokazatelia deformatsionnogo uprochneniia konstruktsionnykh stalei pri deformatsiiakh, bol'shikh ravnomernoi [Patterns of change in the strain hardening of structural steels under deformation, large uniform]. Stal' - Steel, 2013, no. 6, pp. 70-76.

  • Shiian A.V. Opredelenie kharakteristik khrupkoi prochnosti i mekhanicheskoi stabil'nosti konstruktsionnykh stalei [Characterization of the fragile stability and mechanical strength structural steels]. MTOM, 2012, no. 3-4, pp. 29-56.

  • Shiian A.V. [et al.]. Vzaimosviaz' svoistv prochnosti, plastichnosti i mekhanicheskoi stabil'nosti konstruktsionnykh stalei [Correlation properties of strength, ductility and mechanical stability of the structural steels]. MTOM, 2013, no. 4, pp. 12-30.

  • Kotrechko S.A., Meshkov Iu.Ia., Shiian A.V. Plastichnost' i khladostoikost' konstruktsionnykh stalei [Ductility and cold resistance of structural steels]. Problemy prochnosti - Strength problems, 2010, no. 1, pp. 112-119.

  • Meshkov Iu.Ia., Serditova T.N. Razrushenie deformirovannoi stali [Destruction of deformed steel]. Kiev, Nauk. dumka, 1989. 160 p.

  • Pisarenko G.S. Prochnost' materialov i elementov konstruktsii v ekstremal'nykh usloviiakh [Strength of materials and structural elements during extreme conditions].Kiev, Nauk. dumka, 1980. 535 p.

  • Koshelev P.F., Beliaev S.E. Prochnost' i plastichnost' konstruktsionnykh materialov pri nizkikh temperaturakh [Strength and ductility of structural materials at low temperatures]. Moscow, Mashinostroenie, 1967, vol. 1-2. 315 p.

  • Panasiuka V.V. Mekhanika razrusheniia i prochnost' materialov. Spravochnoe posobie [Fracture mechanics and strength of materials. Reference Guide]. Kiev, Nauk. dumka, 1988, vol. 1-4. 620 p.

  • Meshkov Iu.Ia. [et al.]. Novyi podkhod k otsenke kachestva konstruktsionnykh stalei [A new approach to assessing the quality of structural steels]. Stal - Steel', 2012, no. 8, pp. 66-71.

  • Sigorskii V.P. Matematicheskii apparat inzhenera [Body of mathematics of engineer]. Kiev, Tekhnika, 1977. 768 p.

  • Kotrechko S.A. Zakonomernosti izmeneniia pokazatelia deformatsionnogo uprochneniia konstruktsionnykh stalei pri deformatsiiakh, bol'shikh ravnomernoi [Patterns of change in the strain hardening of structural steels under deformation, more jogless]. Stal - Steel', 2013, no. 6, pp. 70-76.


Title of the article Simulation of loading traffic in a high-speed grinding aggregates
Authors

Vaitekhovich P.E., Doctor of Technical Sciences, Professor, Head of the Department of machines and devices of chemical and silicate industries of the Belarusian State Technological University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Frantskevich V.S., Ph.D. in Technical Sciences, Assistant Professor of the Department of machines and devices of chemical and silicate industries of the Belarusian State Technological University, Minsk, Republic of Belarus

Grebenchuk P.S., Ph.D. in Technical Sciences, Senior Lecturer of the Department of machines and devices of chemical and silicate industries of the Belarusian State Technological University, Minsk, Republic of Belarus

Borovskii D.N., Assistant of the Department of machines and devices of chemical and silicate industries of the Belarusian State Technological University, Minsk, Republic of Belarus

In the section TECHNOLOGICAL MECHANICS
Year 2014 Issue 4 Pages 82-86
Type of article RAR Index UDK 621.926 Index BBK  
Abstract

The basic problems of modern technics and technology grinding materials are explored, key areas of the industry are identified. It is shown that mathematical modeling of material flow in the grinders to optimize their design parameters at the design stage. The examples of the mathematical description of the flow of the material presented in the form of a granular medium, in the working bodies of middle-speed, strike-centrifugal, centrifugal ball mills. The results of calculations of the main technological parameters of these machines with the help of developed models are produced. Conclusions on the possibility of using mathematical models in the design of centrifugal grinding method comprising units of various designs are made.

Keywords mathematical modeling, dispersion, planetary mill, centrifugal crushing aggregate, designing
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Bibliography
  • Vaitekhovich P.E. Intensifikatsiia i modelirovanie protsessov dispergirovaniia v pole inertsionnykh sil [Intensification and modeling of dispersion in the field of inertial forces]. Minsk, BGTU, 2008. 220 p.

  • Generalov M.B. Mekhanika tverdykh dispersnykh sred v protsessakh khimicheskoi tekhnologii [Mechanics of particulate matter in the processes of chemical technology]. Kaluga, N. Bochkarevo, 2002. 592 p.

  • Borovskii D.N., Vaitekhovich P.E. Uchet razmera izmel'chaiushchikh tel i ikh vzaimodeistviia na dvizhenie v rotore tsentrobezhno-sharovoi mel'nitse [Accountability of tumbling bodies size and their impact on the motion in rotor of ball-bearing mill]. Khimicheskaia promyshlennost' segodnia - Chemical industry today. 2012, no. 5, pp. 40-46.

  • Vaitekhovich P.E., Semenenko D.V., Iukhnevich D.V. Spetsifika dvizheniia meliushchikh tel v vertikal'noi planetarnoi mel'nitse [Specifics of the motion of grinding media in a vertical planetary mill]. Khimicheskoe i neftegazovoe mashinostroenie - Chemical and Petroleum Engineering. 2009, pp. 7-10.


Title of the article Prospects for the development of technological systems of composite materials additive synthesis and products shaping
Authors

Chizhik S.A., Academician of the National Academy of Sciences of Belarus, Doctor of Engineering Science, Professor, First Deputy Chairman of the Presidium of the National Academy of Sciences of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it."> This email address is being protected from spambots. You need JavaScript enabled to view it.

Khefets M.L., Doctor of Engineering Science, Professor, Deputy Academician-Secretary of the Department of Physics and Technical Sciences of the National Academy of Sciences of Belarus, Minsk, Republic of Belarus

Filatov S.A., Ph.D. in Engineering Science, Deputy Head of the Department of Heat Transfer and Mechanics of Nanoscale Systems, Head of the Center of certification of nanostructured materials of the A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, Minsk, Republic of Belarus

In the section TECHNOLOGICAL MECHANICS
Year 2014 Issue 4 Pages 68-74
Type of article RAR Index UDK 621.01: 536.75 Index BBK  
Abstract The analysis of the space-time production systems automation and integration has been performed and models of the processes of operational prototyping and manufacturing in the shaping of goods have been proposed. The description of the properties of composite materials in additive synthesis and processing as well as modular units for additive manufacturing have been reviewed. The prospects of usage of the components of material and energy flows in the additive synthesis technologies have been determined.
Keywords technological systems, additive technologies, layer by layer synthesis, products shaping
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Bibliography
  • Maslennikova S.A., Vasil'kova V.V. Mekhatronika [Mechatronics]. Moscow, Mir, 1988. 314 p.

  • Bradley D.A. Mechatronics - Electronics in Products and Processes. Chapman & Hall, 1993. 376 p.

  • Akulovich L.M. [et al.]. Intellektual'noe proizvodstvo: sostoianie i perspektivy razvitiia [Intelligent production: state and development prospects]. Novopolotsk, PGU, 2002. 268 p.

  • J. Brown [et al.]. Classifications of Flexible Manufacturing Systems. The FMS magazine, 1984, pр. 114-117.

  • Delchambke A. Computer-aided Assembly Planning. London. Chapman & Hall, 1992. 276 p.

  • DeGarmo E.P., Black J.T., Kohser R.A. Material and Processes in Manufacturing. New York: John Wiley & Sons, Inc., 1999. 259 p.

  • Sirotkin O. Tekhnologicheskii oblik Rossii na rubezhe XXI veka [Technological shape of Russia at the turn of the XXI century]. Ekonomist - Economist, 1998, no. 4, pp. 3-9.

  • Cherpakova B.I. [et al.]. Komp'iuterizirovannye integrirovannye proizvodstva i CALS-tekhnologii v mashinostroenii [Computer-integrated manufacturing and CALS-technologies in mechanical engineering]. Moscow, GUP "VIMI", 1999. 512 p.

  • Bratukhina A.G. [et al.]. CALS v aviastroenii [CALS in aircraft]. Moscow, MAI, 2000. 304 p.

  • Kheifets M.L. Formirovanie svoistv materialov pri posloinom sinteze detalei [Formation of the properties of materials at layered synthesis of parts]. Novopolotsk, PGU, 2001. 156 p.

  • Neiman fon Dzh. Teoriia samovosproizvodiashchikh avtomatov [Theory of Self-Reproducing Guns]. Moscow, Mir, 1971. 342 p.

  • Druzhinin V.V., Kontorov D.S. Problemy sistemologii [Systemology problems]. Moscow, Sov. radio, 1976. 296 p.

  • Tsetlin M.L. Issledovaniia po teorii avtomatov i modelirovaniiu biologicheskikh sistem [Studies on gun theory and modeling of biological systems]. Moscow, Nauka, 1969. 368 p.

  • Smolianinov V.V. Matematicheskie modeli biologicheskikh tkanei [Mathematical models of biological biomaterial]. Moscow, Nauka, 1980. 368 p.

  • Vitiaz P.A., Kheifetz M.L., Koukhta S.V. Laser-Plasma Techniques in Computer-Controlled Manufacturing. Minsk, Belorusskaya nauka, 2011. 164 p.

  • Freedman D.H. Layer By Layer. Technology Review 115.1. Academic Search Premier, 2012, pp. 50-53.