FREE VIBRATION ANALYSIS OF CYLINDRICAL SHELL FROM FIBERGLASS WITH NAVIER BOUNDARY CONDITIONS

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

Zhiwei W., Graduate Student of the Department "Theoretical and Applied Mechanics", Belarusian State University, Minsk, Republic of Belarus

The analytical solution of approximate natural frequencies for the free vibration of cylindrical shells of GFRP (glass fiber reinforced plastic) with Navier boundary conditions is presented using the RayleighRitz method, while the winding angle varies. Frequency variations for different vibration modes with certain shell`s geometrical parameters are discussed. The effect of shell`s geometrical parameters is also investigated on natural frequencies.

cylindrical shell, fiberglass, natural frequency, Rayleigh-Ritz method, winding angle of fiberglass

• Mihasev G.I., Tovstik P.E. Lokalizovannye kolebanija i volny v tonkih obolochkah. Asimptoticheskie metody [Localized waves in thin shells. Asymptotic methods]. Moscow, FIZMATLIT, 2009. 292 p.
• Bazhanov V.L. [et al.]. Soprotivlenie stekloplastikov [Resistance of fiberglass plastic]. Moscow, Mashinostroenie, 1968. 304 p.
• Lee Y.S., Kim Y.W. Effect of boundary conditions on natural frequencies for rotating composite cylindrical shells with orthogonal stiffeners. Advances in Engineering Software, 1999, vol. 30, рр. 649-655.
• Xu Zh. Elasticity. Beijing, Higher Education Press, 2006, vol. II. 287 p.
• Bosjakov S.M., Chzhivjej V. Opredelenie sobstvennyh chastot anizotropnoj cilindricheskoj sharnirno opertoj obolochki iz orientirovannogo stekloplastika [Determination of the natural frequencies of simply supported-clamped anisotropic cylindrical shells from the oriented fiberglass]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2011, no. 2, pp. 54-57.
• Bosjakov S.M., Chzhivjej V. Opredelenie sobstvennyh chastot svobodnyh kolebanij tonkoj cilindricheskoj obolochki iz stekloplastika pri nesimmetrichnyh granichnyh uslovijah [Determination of natural frequencies of free oscillations of thin cylindrical shell from fiberglass under asymmetric boundary conditions]. Vestn. BGU [News of the BSU], 2011, no. 1, pp. 110-115.

POSSIBILITIES OF IMPROVEMENT OF PERFORMANCE DATA OF TOOTH GEARINGS USE HOBBINGMACHINE TOOL WITH CNC

Antoniuk V.E., Doctor of Technical Sciences, Senior Researcher at the Laboratory of Metallurgy in Mechanical Engineering, STC "Technology of Mechanical Engineering and Technological Equipment", Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.

Poddubko S.N., Candidate of Technical Sciences, Deputy Director in Science and Innovations, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus

Ishin N.N., Candidate of Technical Sciences, Deputy Director of the STC "Mining Equipment", Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus

Skorohodov A.S., Candidate of Technical Sciences, Leading Researcher, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus

Nikolaev Yu.I., Chief Designer of the JSC "Minsk Wheel Tractor Plant", Minsk, Republic of Belarus

gears, tooth-grinding, gear milling machine with NPC, profile modification, noise level

• Antonjuk V.E. [et al.]. Tehnologija proizvodstva i metody obespechenija kachestva zubchatyh koles i peredach [Technology of production and methods of quality assurance of gears and transmission]. SPb., Professija, 2007. 832 p.
• Antonjuk V.E. Tendencii sovremennogo proizvodstva zubchatyh koles [Trends of modern production of gears]. Inzhenernyj zhurnal [Engineering magazine], 2004, no. 12, pp. 2-15.
• Hing speed chamfering. Prawema Honing. Prawema, 2005.

INVESTIGATION OF THE PARAMETERS OF THE SHOCK PULSE IN THE SPUR GEARS GEARING

Ishin N.N., Candidate of Technical Sciences, Deputy Director of the STC "Mining Equipment", Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus.

Goman A.M., Candidate of Technical Sciences, Head of department of Dynamic Analysis and Vibration Diagnostics of Machines, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.

Skorohodov A.S., Candidate of Technical Sciences, Leading Researcher, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus

shock pulse, pulse amplitude, pulse formula, time of impact, spur gears, dynamic model

• Dimentberga F.M., Kolesnikova K.S. eds. Vibracii v tehnike [Vibration in technichs]. Moscow, Mashinostroenie, 1980, vol. 3. 544 p.
• Kravchenko I.F., Edinovich A.B., Jakovlev V.A., Dorofeev V.L. Jeksperimental'nye i teoreticheskie rezul'taty issledovanija aviacionnyh zubchatyh peredach dlja dvigatelej pjatogo i shestogo pokolenij [Experimental and theoretical results of a study of aviation gears for engines of the fifth and sixth generations]. Aviacionno-kosmicheskaja tehnika i tehnologija [Aerospace engineering technics and technology], 2008, no. 8 (55), pp. 129-134.
• Kosarev O.I. Vibrovozbuzhdenie i dinamicheskie processy v cilindricheskih zubchatyh kolesah. Diss. d-ra tehn. nauk [Vibroexcitation and dynamic processes in the spur gear. Dr. techn. sci. diss.]. Moscow, Imash RAN, 1997. 47 p.
• Berestnev O.V., Goman A.M., Ishin N.N. Analiticheskie metody mehaniki v dinamike privodov [Analytical methods of mechanics in dynamics of drives]. Minsk, Navuka i tjehnika, 1992. 238 p.
• Barzdaitis M., Mazeika P. Diagnostics practice of heavy duty high speed gear transmissions. Meckanika, 2010, no. 1(81), pp. 58-61.
• Lybeck N. [et al.]. Modeling and simulation of vibration signatures in propulsion subsystem. Aerospace Conference, 2006. 8 p.
• Pavlov V.B. Akusticheskaja diagnostika mehanizmov [Acoustic diagnostics of mechanisms]. Moscow, Engineering, 1971. 224 p.
• Panovko Ja.G. Osnovy prikladnoj teorii kolebanij i udara [Fundamentals of applied theory of vibrations and shock]. Moscow, Librokom, 2010. 274 p.
• Ivanov M.N., Finogenov V.A. Detali mashin [Machine parts]. Moscow, Vyssh. shk., 2002. 408 p.
• Dinnik A.N. Udar i szhatie uprugih tel [Shock and compression of elastic bodies]. Izbrannye trudy [Selected works]. Kiev, vol. 1, 1952. 152 p.
• Vahitov Ja.Sh. Vibracii i shumy kinoapparatury [Vibration and noise of cinematographic equipment]. Leningrad, Goskomitet SSSR po kinematografii; Leningrad. in-t kinoinzhenerov, 1982. 76 p.

COMPLEX ESTIMATION OF A MOBILE MACHINE AND ITS TRANSMISSION IN THE CONCEPTUAL DESIGN STAGE

Algin V.B., Doctor of Technical Sciences, Professor, Deputy Director of Science, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.

Sarachan U.M., Head of the Sector of Methods of Kinematic and Dynamic Analysis of STC "Mining Equipment", Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus

mobile machine, transmission, conceptual phase of design, evaluation of quality and competitiveness, agreed calculation of resource and functional indicators

• Fashiev H.A., Krahmaleva A.V. Ocenka kachestva i konkurentosposobnosti avtomobilej [Assessment of quality and competitiveness of a car]. Vestn. mashinostroenija [Journal of mechanical engineering], 2008, no. 7, pp. 78-85.
• Fathutdinov R.A. Konkurentosposobnost': jekonomika, strategija, upravlenie [Competitiveness: economics, strategy, management]. Moscow, INFRA-M, 2000. 312 p.
• Chajnikova L.N., Chajnikov V.N. Konkurentosposobnost' predprijatija [Competitiveness of an enterprises]. Tambov, Tamb. gos. tehn. un-t, 2007. 192 p.
• Lific I.M. Formirovanie i ocenka konkurentosposobnosti tovara i uslug [Formation and estimation of competitiveness of goods and services]. Moscow, Jurajt-Izdat, 2004. 335 p.
• Fashiev H.A., Krahmaleva A.V., Garifov A.G. Ocenka kachestva i konkurentosposobnosti komplektujushhih i zapasnyh chastej avtomobilej [Assessment of quality and competitiveness of components and spare parts of cars]. Vestnik mashinostroenija [Journal of mechanical engineering], 2007, no. 7, pp. 65-79.
• Fashiev H.A. «Vorota konkurentosposobnosti» — novyj aspekt proektirovanija ATS [“Gates of competitiveness" - new dimension of PBX design]. Avtomobil. prom-st' [Automotive industry], 2008, no. 12, pp. 1-6.
• Fashiev H.A., Krahmaleva A.V. Dinamicheskij metod ocenki jekonomicheskoj jeffektivnosti gruzovyh avtomobilej [Dynamic method of evaluating economic efficiency of trucks]. Vestn. mashinostroenija [Journal of mechanical engineering], 2009, no. 2, pp. 76-81.
• Prokopenko V.A. Rekomendacii po ocenke pokazatelej jekonomicheskoj jeffektivnosti sel'skohozjajstvennyh mashin i tehnologij [Recommendations for evaluation of indicators of economic efficiency of agricultural machinery and technology]. Agro-inform [Agroinform], 1999, no. 6, pp. 17-18.
• Pronin V.M., Prokopenko V.A. Tehniko-jekonomicheskaja ocenka jeffektivnosti sel'skohozjajstvennyh mashin i tehnologij po kriteriju chasovyh jekspluatacionnyh zatrat [Technical and economic evaluation of efficiency of agricultural machinery and technologies for time criterion of operating costs]. Moscow, Stolichnaja tipografija, 2008. 162 p.
• Commodity Costs and Returns Estimation Handbook. A Report of the AAEA Task Force on Commodity Costs and Returns, 2000.
• Algin V.B., Verbickij A.V. Opredelenie nagruzochnyh rezhimov avtomobilja i resursa ego agregatov s uchetom stilja vozhdenija i dorozhnyh uslovij [Determination of vehicle load modes and lives of its units taking into account a driving style and operation conditions]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2010, no. 1(10), pp. 6-11.
• Algin V.B. Lifetime-and-Operation Mechanics as a Basis for Design, Prediction and Estimation of Machine Properties. Aktual'nye problemy dinamiki i prochnosti v teoretich. i prikladnoj mehanike [Actual problems of dynamics and strength of theoretical. and applied mechanics]. Minsk, 2001, pp. 18-22.
• Algin V.B. Metodologija resursno-funkcional'nogo verojatnostnogo rascheta, proektirovanija i ocenki mobil'noj tehniki [Methodology of resource-functional probabilistic calculation, design and evaluation of mobile technology]. Mehanika mashin na poroge III tysjacheletija: materialy Mezhdunar. nauch. konf. [Mechanics of machines on the threshold of the III millennium: Proceedings of the Intern. scientific. conf.]. Minsk, Belavtotraktorostroenie, 2001, pp. 292-306.
• Algin V.B. Raschet i ocenka mashiny kak resursno-funkcional'noj sistemy [Calculation and evaluation of a machine as a resource-functional system]. Sovremennye metody proektirovanija mashin. Raschet, konstruirovanie i tehnologija izgotovlenija [Modern methods of designing cars. Calculation, design and manufacturing technology]. Minsk, Tehnoprint, 2002, vol. 1, pp. 85-88.
• Algin V.B. Proektirovanie optimal'nyh mashin i problema resursa [Designing of optimal machine and problem of resource]. Sovremennye metody proektirovanija mashin [Modern methods of designing of machines]. Minsk, Tehnoprint, 2004, vol. 1, pp. 93-100.
• Algin V.B. Proektirovanie kak optimizacija resursno-funkcional'nyh svojstv mashin v svete CALS [Design as optimization of resource and functional properties of machines in the light of CALS]. Mehanika mashin. Teorija i praktika: materialy Mezhdunar. nauch-tehn. konf. [Mechanics of machines. Theory and practice: materials of the Intern. scientific and technical conf.]. Minsk, Belavtotraktorostroenie, 2004, pp. 209-222.
• Algin V.B. Ocenka i obespechenie konkurentosposobnosti avtotransportnyh sredstv v chasti resursno-funkcional'nyh svojstv [Evaluating and ensuring of competitiveness of motor vehicles with regard to resource-functional properties]. Povyshenie konkurentosposobnosti avtotransportnyh sredstv: sb. nauch. tr. [Improving the competitiveness of vehicles: collection of scientific papers]. Minsk, Belavtotraktorostroenie, 2004, pp. 92-109.
• Algin V.B., Bogdanovskij I.G. Verojatnostnaja model' spektra uslovij jekspluatacii mobil'noj tehniki [Probabilistic model of operating conditions of mobile technology]. Vestn. Mogilevskogo gos. tehnich. un-ta [Journal of the Mogilev state. tehn. univ.], 2001, no. 1, pp. 14-17.
• Algin V.B., Sorochan V.M. Sravnitel'naja ocenka resursa uzlov mobil'noj mashiny na osnove nagruzochnyh rezhimov i mer povrezhdenija v harakternyh tochkah ee mehanicheskoj sistemy [Comparative estimation of life of the mobile machine units on basis of loading modes and extents of damage at characteristic points of its mechanical system]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2010, no. 3(12), pp. 6-22.
• Algin V.B. Dinamika, nadezhnost' i resursnoe proektirovanie transmissij mobil'nyh mashin [Dynamics, reliability and resource designing of transmissions of mobile machines]. Minsk, Navuka i tjehnika, 1995. 256 p.
• Ob utverzhdenii instrukcii o porjadke opredelenija rashoda resursa avtomobil'noj tehniki, zakreplennoj za Ministerstvom oborony Respubliki Belarus' na prave operativnogo upravlenija: prikaz Min-va oborony Resp. Belarus [Approval of the instructions on how to determine the resource consumption of motor vehicles, assigned to the Ministry of Defence of the Republic of Belarus on the basis of operational management: Order Dept. of Defense of the Rep. of Belarus]. Available at: http://www.lawbelarus.com/repub2008/sub04/text04357/index.htm (accessed 13 July 2011).
• Algin V.B., Verbickij A.V., Kovalenko A.V. Rashod resursa avtomobilja. Ch. 2: Modeli rashoda resursa osnovnyh chastej [The life expense of the car. A part II: Models of life expenses for the basic parts]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 3 (8), pp. 5-10.
• Algin V.B. Raschet mobil'noj tehniki v var'iruemoj jekspluatacionnoj srede [Calculation of mobile machines in variable operational environment]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 1(6), pp. 7-15.
• Pirch A.I., Algin V.B., Sabolevskij A.K. Opredelenie vyhodnoj harakteristiki gibridnoj silovoj ustanovki avtomobilja [Determination of output characteristic for hybrid power unit of a vehicle]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2008, no. 3(4), pp. 14-18.
• Algin V.B. [et al.]. Programmno-metodicheskij kompleks po raschetu i proektirovaniju transmissij mobil'nyh mashin [Program-methodical complex for calculation and design of transmission of mobile machines]. Mehanika - mashinostroeniju: sb. nauch. tr. Mezhdunar. nauch.-tehn. konf. «Innovacii v mashinostroenii» i VI Mezhdunar. simpoz. po tribofatike MSTF 2010 [Mechanics - mechanical engineering: coll. of scientific papers Intern. scientific and engineering conf. "Innovations in mechanical engineering" and VI Intern. symposium on tribo-fatigue MSTF 2010]. Minsk, 2010, pp. 170-175.
• Nikolaev Ju.I. [et al.]. Unificirovannaja gidravlicheskaja sistema avtomaticheskogo upravlenija i zhizneobespechenija semejstva perspektivnyh gidromehanicheskih peredach MZKT [Unified hydraulic system of automatic control and life support for the family prospective hydromechanical transmission MWTP]. Mehanika mashin, mehanizmov i materialov [Mechanics of machines, mechanisms and materials], 2011, no. 2(15), pp. 33-38.
• Algin V.B., Lomonosov C.V., Sorochan V.M. Kinematic 3.0: komp. programma [Kinematic 3.0: computer software]. Author’s certificate, no. S20100148, 2010.
• Algin V.B., Verbickij A.V., Pjanko E.N. Skorostnoj i silovoj raschet transmissii: komp. programma [Speed and power transmission calculation: computer program].Author’s certificate, no. S20090047, 2009.