Applied sciences

Archive of Mechanical Engineering

Content

Archive of Mechanical Engineering | 2021 | vol. 68 | No 1 |

Download PDF Download RIS Download Bibtex

Abstract

In this study, static behaviors of functionally graded plates resting on Winkler-Pasternak elastic foundation using the four-variable refined theory and the physical neutral surface concept is reported. The four-variable refined theory assumes that the transverse shear strain has a parabolic distribution across the plate’s thickness, thus, there is no need to use the shear correction factor. The material properties of the plate vary continuously and smoothly according to the thickness direction by a power-law distribution. The geometrical middle surface of the functionally graded plate selected in computations is very popular in the existing literature. By contrast, in this study, the physical neutral surface of the plate is used. Based on the four-variable refined plate theory and the principle of virtual work, the governing equations of the plate are derived. Next, an analytical solution for the functionally graded plate resting on the Winkler-Pasternak elastic foundation is solved using the Navier’s procedure. In numerical investigations, a comparison of the static behaviors of the functionally graded plate between several models of displacement field using the physical neutral surface is given, and parametric studies are also presented.
Go to article

Bibliography

[1] J.N. Reddy and C.D. Chin. Thermomechanical analysis of functionally graded cylinders and plates. Journal of Thermal Stresses, 21(6):593–626, 1998. doi: 10.1080/01495739808956165.
[2] S-H. Chi and Y-L.Chung. Mechanical behavior of functionally graded material plates under transverse load – Part I: Analysis. International Journal of Solids and Structures, 43(13):3657–3674, 2006. doi: 10.1016/j.ijsolstr.2005.04.011.
[3] V-L. Nguyen and T-P. Hoang. Analytical solution for free vibration of stiffened functionally graded cylindrical shell structure resting on elastic foundation. SN Applied Sciences, 1(10):1150, 2019. doi: 10.1007/s42452-019-1168-y.
[4] A.M. Zenkour and N.A. Alghamdi. T hermoelastic bending analysis of functionally graded sandwich plates. Journal of Materials Science, 43(8):2574–2589, 2008. doi: 10.1007/s10853-008-2476-6.
[5] S.A. Sina, H.M. Navazi, and H. Haddadpour. An analytical method for free vibration analysis of functionally graded beams. Materials & Design, 30(3):741–747, 2009. doi: 10.1016/j.matdes.2008.05.015.
[6] I. Mechab, H.A. Atmane, A. Tounsi, H.A. Belhadj, E.A. Adda Bedia. A two variable refined plate theory for the bending analysis of functionally graded plates. Acta Mechanica Sinica, 26(6):941–949, 2010. doi: 10.1007/s10409-010-0372-1.
[7] M.T. Tran, V.L. Nguyen, and A.T. Trinh. Static and vibration analysis of cross-ply laminated composite doubly curved shallow shell panels with stiffeners resting on Winkler–Pasternak elastic foundations. International Journal of Advanced Structural Engineering, 9(2):153–164, 2017. doi: 10.1007/s40091-017-0155-z.
[8] A. Gholipour, H. Farokhi, and M.H. Ghayesh. In-plane and out-of-plane nonlinear size-dependent dynamics of microplates. Nonlinear Dynamics, 79(3):1771–1785, 2015. doi: 10.1007/s11071-014-1773-7.
[9] M.T. Tran, V.L. Nguyen, S.D. Pham, and J. Rungamornrat. Vibration analysis of rotating functionally graded cylindrical shells with orthogonal stiffeners. Acta Mechanica, 231:2545–2564, 2020. doi: 10.1007/s00707-020-02658-y.
[10] S-H. Chi and Y-L. Chung. Mechanical behavior of functionally graded material plates under transverse load – Part II: Numerical results. International Journal of Solids and Structures, 43(13):3675–3691, 2006. doi: 10.1016/j.ijsolstr.2005.04.010.
[11] S. Hosseini-Hashemi, H.R.D Taher, H. Akhavan, and M. Omidi. Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory. Applied Mathematical Modelling, 34(5):1276–1291, 2010. doi: 10.1016/j.apm.2009.08.008.
[12] M.S.A. Houari, S. Benyoucef, I. Mechab, A. Tounsi, and E.A. Adda Bedia. Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates. Journal of Thermal Stresses, 34(4):315–334, 2011. doi: 10.1080/01495739.2010.550806.
[13] M.Talha and B.N. Singh. Static response and free vibration analysis of FGM plates using higher order shear deformation theory. Applied Mathematical Modelling, 34(12):3991–4011, 2010. doi: 10.1016/j.apm.2010.03.034.
[14] H-T. Thai and S-E. Kim. A simple higher-order shear deformation theory for bending and free vibration analysis of functionally graded plates. textit{Composite Structures, 96:165–173, 2013. doi: 10.1016/j.compstruct.2012.08.025.
[15] A. Chikh, A. Tounsi, H. Hebali, and S.R. Mahmoud. Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT. Smart Structures and Systems, 19(3):289–297, 2017. doi: 10.12989/sss.2017.19.3.289.
[16] H.H. Abdelaziz, M.A.A. Meziane, A.A. Bousahla, A. Tounsi, S.R. Mahmoud, and A.S. Alwabli. An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions. Steel and Composite Structures, 25(6):693–704, 2017. doi: 10.12989/scs.2017.25.6.693.
[17] D-G. Zhang, Y-H. Zhou. A theoretical analysis of FGM thin plates based on physical neutral surface. Computational Materials Science, 44(2):716–720, 2008. doi: 10.1016/j.commatsci.2008.05.016.
[18] A.A. Bousahla, M.S.A. Houari, A. Tounsi A, E.A. Adda Bedia. A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates. International Journal of Computational Methods, 11(06):1350082, 2014. doi: 10.1142/S0219876213500825.
[19] Y. Liu, S. Su, H. Huang, and Y. Liang. Thermal-mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane. Composites Part B: Engineering, 168:236–242, 2019. doi: 10.1016/j.compositesb.2018.12.063.
[20] D-G. Zhang. Thermal post-buckling and nonlinear vibration analysis of FGM beams based on physical neutral surface and high order shear deformation theory. Meccanica, 49(2):283–293, 2014. doi: 10.1007/s11012-013-9793-9.
[21] D-G. Zhang. Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory. Composite Structures, 100:121–126, 2013. doi: 10.1016/j.compstruct.2012.12.024.
[22] H-T. Thai and B. Uy. Levy solution for buckling analysis of functionally graded plates based on a refined plate theory. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 227(12):2649–2664, 2013. doi: 10.1177/0954406213478526.
[23] Y. Khalfi, M.S.A. Houari, and A. Tounsi. A refined and simple shear deformation theory for thermal buckling of solar functionally graded plates on elastic foundation. International Journal of Computational Methods, 11(05):1350077, 2014. doi: 10.1142/S0219876213500771.
[24] H. Bellifa, K.H. Benrahou, L. Hadji, M.S.A. Houari, and A. Tounsi. Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38(1):265–275, 2016. doi: 10.1007/s40430-015-0354-0.
[25] H. Shahverdi and M.R. Barati. Vibration analysis of porous functionally graded nanoplates. International Journal of Engineering Science, 120:82–99, 2017. doi: 10.1016/j.ijengsci.2017.06.008.
[26] R.P. Shimpi and H.G. Patel. A two variable refined plate theory for orthotropic plate analysis. International Journal of Solids and Structures, 43(22-23):6783–6799, 2006. doi: 10.1016/j.ijsolstr.2006.02.007.
[27] H-T. Thai and D-H. Choi. A refined plate theory for functionally graded plates resting on elastic foundation. Composites Science and Technology, 71(16):1850–1858, 2011. doi: 10.1016/j.compscitech.2011.08.016.
[28] M.H. Ghayesh. Viscoelastic nonlinear dynamic behaviour of Timoshenko FG beams. The European Physical Journal Plus, 134(8):401, 2019. doi: 10.1140/epjp/i2019-12472-x .
[29] M.H. Ghayesh. Nonlinear oscillations of FG cantilevers. Applied Acoustics, 145:393–398, 2019. doi: 10.1016/j.apacoust.2018.08.014.
[30] M.H. Ghayesh. Dynamical analysis of multilayered cantilevers. Communications in Nonlinear Science and Numerical Simulation, 71:244–253, 2019. doi: 10.1016/j.cnsns.2018.08.012.
[31] M.H. Ghayesh. Mechanics of viscoelastic functionally graded microcantilevers. European Journal of Mechanics – A/Solids, 73:492–499, 2019. doi: 10.1016/j.euromechsol.2018.09.001.
[32] M.H. Ghayesh. Dynamics of functionally graded viscoelastic microbeams. International Journal of Engineering Science, 124:115–131, 2018. doi: 10.1016/j.ijengsci.2017.11.004.
[33] A.T. Trinh, M.T. Tran, H.Q. Tran, and V.L. Nguyen. Vibration analysis of cross-ply laminated composite doubly curved shallow shell panels with stiffeners. Vietnam Journal of Science and Technology, 55(3):382–392, 2017. doi: 10.15625/2525-2518/55/3/8823.
Go to article

Authors and Affiliations

Van Loi Nguyen
Minh Tu Tran
Van Long Nguyen
Quang Huy Le
Download PDF Download RIS Download Bibtex

Abstract

The objective of the present study is to optimize multiple process parameters in turning for achieving minimum chip-tool interface temperature, surface roughness and specific cutting energy by using numerical models. The proposed optimization models are offline conventional methods, namely hybrid Taguchi-GRA-PCA and Taguchi integrated modified weighted TOPSIS. For evaluating the effects of input process parameters both models use ANOVA as a supplementary tool. Moreover, simple linear regression analysis has been performed for establishing mathematical relationship between input factors and responses. A total of eighteen experiments have been conducted in dry and cryogenic cooling conditions based on Taguchi L18 orthogonal array. The optimization results achieved by hybrid Taguchi-GRA-PCA and modified weighted TOPSIS manifest that turning at a cutting speed of 144 m/min and a feed rate of 0.16 mm/rev in cryogenic cooling condition optimizes the multi-responses concurrently. The prediction accuracy of the modified weighted TOPSIS method is found better than hybrid Taguchi-GRA-PCA using regression analysis.
Go to article

Bibliography

[1] S.S. Nair, T. Ramkumar, M. Selva Kumar, and F. Netto. Experimental investigation of dry turning of AISI 1040 steel with TiN coated insert. Engineering Research Express, 1(2):1–13, 2019. doi: 10.1088/2631-8695/ab58d9.
[2] M.N. Sultana, N.R. Dhar, and P.B. Zaman. A Review on different cooling/lubrication techniques in metal cutting. American Journal of Mechanics and Applications, 7(4):71–87, 2019. doi: 10.11648/j.ajma.20190704.11.
[3] M.N. Sultana, P.B. Zaman, and N.R. Dhar. GRA-PCA coupled with Taguchi for optimization of inputs in turning under cryogenic cooling for AISI 4140 steel. Journal of Production Systems & Manufacturing Science, 1(2):40–62, 2020.
[4] M. Mia. Multi-response optimization of end milling parameters under through-tool cryogenic cooling condition. Measurement, 111:134–145, 2017. doi: 10.1016/j.measurement. 2017.07.033.
[5] L.S. Ahmed, N. Govindaraju, and M. Pradeep Kumar. Experimental investigations on cryogenic cooling in the drilling of titanium alloy. Materials and Manufacturing Processes, 31(5):603–607, 2016. doi: 10.1080/10426914.2015.1019127.
[6] A.B. Chattopadhyay, A. Bose, and A.K. Chattopdhyay. Improvements in grinding steels by cryogenic cooling. Precision Engineering, 7(2):93–98, 1985. doi: 10.1016/0141-6359(85)90098-4.
[7] P.P. Reddy and A. Ghosh. Some critical issues in cryo-grinding by a vitrified bonded alumina wheel using liquid nitrogen jet. Journal of Materials Processing Technology, 229: 29–337, 2016. doi: 10.1016/j.jmatprotec.2015.09.040.
[8] M. Vijay Kumar, B.J. Kiran Kumar, and N. Rudresha. Optimization of machining parameters in CNC turning of stainless steel (EN19) by Taguchi’s orthogonal array experiments. Materials Today: Proceedings, 5(5):11395–11407, 2018. doi: 10.1016/j.matpr.2018.02.107.
[9] M. Mia and N.R. Dhar. Optimization of surface roughness and cutting temperature in high-pres\-sure coolant-assisted hard turning using Taguchi method. The International Journal of Advanced Manufacturing Technology, 88(1-4):739–753, 2017. doi: 10.1007/s00170-016-8810-2.
[10] G.M. Patel, Jagadish, R. Suresh Kumar, and N.V.S. Naidu. Optimization of abrasive water jet machining for green composites using multi-variant hybrid techniques. In K.Gupta, M.Kumar Gupta (eds.) Optimization of Manufacturing Processes, pages 129–162, Springer, 2020. doi: 10.1007/978-3-030-19638-7_6.
[11] D. Saravanakumar, B. Mohan, and T. Muthuramalingam. Application of response surface methodology on finding influencing parameters in servo pneumatic system. Measurement, 54:40–50, 2014. doi: 10.1016/j.measurement.2014.04.017.
[12] N.S. Jaddi and S. Abdullah. A cooperative-competitive master-slave global-best harmony search for ANN optimization and water-quality prediction. Applied Soft Computing, 51:209–224, 2017. doi: 10.1016/j.asoc.2016.12.011.
[13] A.S. Prasanth, R. Ramesh, and G. Palaniappan. Taguchi grey relational analysis for multi-response optimization of wear in co-continuous composite. Materials, 11(9):1743, 2018. doi: 10.3390/ma11091743.
[14] R. Manivannan and M.Pradeep Kumar. Multi-attribute decision-making of cryogenically cooled micro-EDM drilling process parameters using TOPSIS method. Materials and Manufacturing Processes, 32(2):209–215, 2017. doi: 10.1080/10426914.2016.1176182.
[15] J.S. Vesterstrøm and J. Riget. Particle swarms: Extensions for improved local, multi-modal, and dynamic search in numerical optimization. Master's Thesis, Dept. of Computer Science, University of Aarhus, Denmark, May, 2002.
[16] G. Meral, M. Sarıkaya, M. Mia, H. Dilipak, U. Şeker, and M.K. Gupta. Multi-objective optimization of surface roughness, thrust force, and torque produced by novel drill geometries using Taguchi-based GRA. The International Journal of Advanced Manufacturing Technology, 101(5-8):1595–1610, 2019. doi: 10.1007/s00170-018-3061-z.
[17] M. Priyadarshini, I. Nayak, J. Rana and P.P. Tripathy. Multi-objective optimization of turning process using fuzzy-TOPSIS analysis. Materials Today: Proceedings, March, 2020. doi: 10.1016/j.matpr.2020.02.847.
[18] M. Alhabo and L. Zhang. Multi-criteria handover using modified weighted TOPSIS methods for heterogeneous networks. IEEE Access, 6:40547–40558, 2018. doi: 10.1109/ACCESS.2018.2846045.
[19] P.B. Zaman, S. Saha, and N.R. Dhar. Hybrid Taguchi-GRA-PCA approach for multi-response optimisation of turning process parameters under HPC condition. International Journal of Machining and Machinability of Materials, 22(3-4):281–308, 2020. doi: 10.1504/IJMMM.2020.107059.
[20] N. Li, Y.J. Chen, and D.D. Kong. Multi-response optimization of Ti-6Al-4V turning operations using Taguchi-based grey relational analysis coupled with kernel principal component analysis. Advances in Manufacturing, 7(2):142–154, 2019. doi: 10.1007/s40436-019-00251-8.
[21] P. Umamaheswarrao, D.R. Raju, K.N.S. Suman, and B.R. Sankar. Multi objective optimization of process parameters for hard turning of AISI 52100 steel using Hybrid GRA-PCA. Procedia Computer Science, 133:703–710, 2018. doi: 10.1016/j.procs.2018.07.129.
[22] P.B. Patole and V.V. Kulkarni. Experimental investigation and optimization of cutting parameters with multi response characteristics in MQL turning of AISI 4340 using nano fluid. Cogent Engineering, 4(1):1303956, 2017. doi: 10.1080/23311916.2017.1303956.
[23] R. Viswanathan, S. Ramesh, S. Maniraj, and V. Subburam. Measurement and multi-response optimization of turning parameters for magnesium alloy using hybrid combination of Taguchi-GRA-PCA technique. Measurement, 159:107800, 2020. doi: 10.1016/ j.measurement.2020.107800.
[24] S. Ramesh, R. Viswanathan and S. Ambika. Measurement and optimization of surface roughness and tool wear via grey relational analysis, TOPSIS and RSA techniques. Measurement, 78:63–72, 2016. doi: 10.1016/j.measurement.2015.09.036.
[25] A. Palanisamy and T. Selvaraj. Optimization of turning parameters for surface integrity properties on Incoloy 800H superalloy using cryogenically treated multi-layer CVD coated tool. Surface Review and Letters, 26(02):1850139, 2019. doi: 10.1142/S0218625X18501391.
[26] R. Thirumalai and J.S. Senthilkumaar. Multi-criteria decision making in the selection of machining parameters for Inconel 718. Journal of Mechanical Science and Technology, 27(4):1109–1116, 2013. doi: 10.1007/s12206-013-0215-7..
[27] M. Mia. Mathematical modeling and optimization of MQL assisted end milling characteristics based on RSM and Taguchi method. Measurement, 121:249–260, 2018. doi: 10.1016/j.measurement.2018.02.017.
[28] P.J. Ross. Taguchi Techniques for Quality Engineering. McGraw-Hill, New York, 2 edition, 1996.
[29] A. Palanisamy and T. Selvaraj. Optimization of machining parameters for dry turning of Incoloy 800H using Taguchi-based grey relational analysis. Materials Today: Proceedings, 5(2):7708–7715, 2018. doi: 10.1016/j.matpr.2017.11.447.
[30] K. Pearson. On lines and planes of closest fit to systems of points in space. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 2(11):559–572, 1901. doi: 10.1080/14786440109462720.
[31] H. Hotelling. Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology, 24(6):417–441, 1993. doi: 10.1037/h0071325.
[32] M. Mia, M.K. Gupta, J.A. Lozano, D. Carou, D.Y. Pimenov, G. Królczyk, A.M. Khan, and N.R. Dhar. Multi-objective optimization and life cycle assessment of eco-friendly cryogenic N_2 assisted turning of Ti-6Al-4V. Journal of Cleaner Production, 210: 121-133, 2019. doi: 10.1016/j.jclepro.2018.10.334.
[33] M.A. Khan, S.H.I. Jaffery, M. Khan, M. Younas, S.I. Butt, R. Ahmad, and S.S. Warsi. Multi-objective optimization of turning titanium-based alloy Ti-6Al-4V under dry, wet, and cryogenic conditions using gray relational analysis (GRA). The International Journal of Advanced Manufacturing Technology, 106(9-10):3897–3911, 2020. doi: 10.1007/s00170-019-04913-6.
[34] M.J. Bermingham, J. Kirsch, S. Sun, S. Palanisamy, and M.S. Dargusch. New observations on tool life, cutting forces and chip morphology in cryogenic machining Ti-6Al-4V. International Journal of Machine Tools and Manufacture, 51(6):500–511, 2011. doi: 10.1016/j.ijmachtools.2011.02.009.
[35] M. Strano, E. Chiappini, S. Tirelli, P. Albertelli, and M. Monno. Comparison of Ti6Al4V machining forces and tool life for cryogenic versus conventional cooling. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 227(9):1403–1408, 2013. doi: 10.1177/0954405413486635.
[36] H.S. Lu, C.K. Chang, N.C. Hwang, and C.T. Chung. Grey relational analysis coupled with principal component analysis for optimization design of the cutting parameters in high-speed end milling. Journal of Materials Processing Technology, 209(8):3808–3817, 2009. doi: 10.1016/j.jmatprotec.2008.08.030.
[37] L.S. Ahmed and M.Pradeep Kumar. Multiresponse optimization of cryogenic drilling on Ti-6Al-4V alloy using TOPSIS method. Journal of Mechanical Science and Technology, 30(4):1835–1841, 2016. doi: 10.1007/s12206-016-0340-1.
Go to article

Authors and Affiliations

Mst. Nazma Sultana
Nikhil Ranjan Dhar
Download PDF Download RIS Download Bibtex

Abstract

Results of complex mathematical and computer simulation of gear hobbing are given. A systematic approach to research allowed for the development of simulation models and sequencing of all aspects of this complex process. Based on the modeling of non-deformable chips, a new analytical method for analyzing hobbing has been proposed. The shear, friction and cutting forces at the level of certain teeth and edges in the active space of the cutter are analyzed depending on the cut thickness, cross-sectional area, intensity of plastic deformation and length of contact with the workpiece has been developed. The results of computer simulations made it possible to evaluate the load distribution along the cutting edge and to predict the wear resistance and durability of the hob cutter, as well as to develop measures and recommendations for both the tool design and the technology of hobbing in general. Changing the shape of cutting surface, or the design of the tooth, can facilitate separation of the cutting process between the head and leading and trailing edges. In this way, more efficient hobbing conditions can be achieved and the life of the hob can be extended.
Go to article

Bibliography

[1] B. Karpuschewski, H.J. Knoche, M. Hipke, and M. Beutner. High performance gear hobbing with powder-metallurgical high-speed-steel. In Procedia CIRP, 1:196–201, 2012. doi: 10.1016/j.procir.2012.04.034.
[2] B. Karpuschewski, M. Beutner, M. Köchig, and C. Härtling. Influence of the tool profile on the wear behaviour in gear hobbing. CIRP Journal of Manufacturing Science and Technology, 18:128–134, 2018. doi: 10.1016/j.cirpj.2016.11.002.
[3] K.-D. Bouzakis, O. Friderikos, I. Mirisidis, and I. Tsiafis. Geometry and cutting forces in gear hobbing by a fem-based simulation of the cutting process. In Proceedings of the 8th CIRP International Workshop on Modeling of Machining Operations, 10-11 May, Chemnitz, 2005.
[4] F. Klocke, C. Gorgels, R. Schalaster, and A. Stuckenberg. An innovative way of designing gear hobbing processes. Gear Technology, May:48–53, 2012.
[5] K.D. Bouzakis, S. Kombogiannis, A. Antoniadis, and N. Vidakis. Gear hobbing cutting process simulation and tool wear prediction models. Journal of Manufacturing Science and Engineering, 124(1):42–51, 2002. doi: 10.1115/1.1430236.
[6] K.D. Bouzakis, E. Lili E, N. Michailidis, and O. Friderikos. Manufacturing cylindrical gears by generating cutting processes: a critical synthesis of analysis methods. CIRP Annals, 57(2):676–696, 2008. doi: 10.1016/j.cirp.2008.09.001.
[7] G. Skordaris, K.D. Bouzakis, T. Kotsanis, P. Charalampous, E. Bouzakis, O. Lemmer, and S. Bolz. Film thickness effect on mechanical properties and milling performance of nano-structured multilayer PVD coated tools. Surface and Coatings Technology, 307, Part A:452–460, 2016, doi: 10.1016/j.surfcoat.2016.09.026.
[8] K.D. Bouzakis, S. Kombogiannis, A. Antoniadis, and N. Vidakis. Modeling of gear hobbing. Cutting simulation, tool wear prediction models and computer supported experimental-analytical determination of the hob life-time. In Proceeding of ASME International Mechanical Engineering Congress and Exposition, volume 1, pages 261–269, Shannon, 14–19 November, 1999.
[9] N. Sabkhi, A. Moufki, M. Nouari, C. Pelaingre, and C. Barlier. Prediction of the hobbing cutting forces from a thermomechanical modeling of orthogonal cutting operation. Journal of Manufacturing Processes, 23:1–12, 2016. doi: 10.1016/j.jmapro.2016.05.002.
[10] V. Dimitriou and A. Antoniadis. CAD-based simulation of the hobbing process for the manufacturing of spur and helical gears. The International Journal of Advanced Manufacturing Technology, 41(3-4):347–357, 2009. doi: 10.1007/s00170-008-1465-x.
[11] C. Claudin and J. Rech. Effects of the edge preparation on the tool life in gear hobbing. In Proceedings of the 3rd International Conference on Manufacturing Engineering (ICMEN), pages 57-70, Chalkidiki, Greece, 1-3 October 2008.
[12] J. Rech. Influence of cutting edge preparation on the wear resistance in high speed dry gear hobbing. Wear, 261(5-6):505–512, 2006. doi: 10.1016/j.wear.2005.12.007.
[13] C. Claudin and J. Rech. Development of a new rapid characterization method of hob’s wear resistance in gear manufacturing – Application to the evaluation of various cutting edge preparations in high speed dry gear hobbing. Journal of Materials Processing Technology, 209(11):5152–5160, 2009. doi: 10.1016/j.jmatprotec.2009.02.014.
[14] B. Hoffmeister. Über den Verschleiß am Wälzfräser (About wear on the hob). D.Sc. Thesis, RWTH Aachen, Germany, 1970 (in German).
[15] V.P. Astakhov. Metal Cutting Mechanics. CRC Press, 1999.
[16] Gutmann, P.: Zerspankraftberechnung beim Waelzfraesen (Calculation of the cutting force for hobbing). Ph.D. Thesis, RWTH Aachen University, Aachen, Germany, 1988 (in German).
[17] I. Hrytsay, V.Stupnytskyy, and V. Topchii. Improved method of gear hobbing computer aided simulation. Archive of Mechanical Engineering, 66(4):475–494, 2019. doi: 10.24425/ame.2019.131358.
[18] V. Stupnytskyy and I. Hrytsay. Computer-aided conception for planning and researching of the functional-oriented manufacturing process. In: Tonkonogyi V. et al. (eds) Advanced Manufacturing Processes. InterPartner-2019. Lecture Notes in Mechanical Engineering, pages 309–320, 2020. doi: 10.1007/978-3-030-40724-7_32.
[19] I. Hrytsay and V. Stupnytskyy. Advanced computerized simulation and analysis of dynamic processes during the gear hobbing. In: Tonkonogyi V. et al. (eds) Advanced Manufacturing Processes. InterPartner-2019. Lecture Notes in Mechanical Engineering, pages 85–97, 2019. doi: 10.1007/978-3-030-40724-7_9.
[20] S.S. Silin. Similarity Methods in Metal Cutting, Mashinostroenie, Moscow, 1979. (in Russian).
[21] S.P. Radzevich. Gear Cutting Tools. Science and Engineering. CRC Press, 2017.
Go to article

Authors and Affiliations

Ihor Hrytsay
Vadym Stupnytskyy
Vladyslav Topchi
Download PDF Download RIS Download Bibtex

Abstract

Boiling produces vapor with a phase change by absorbing a consistent amount of heat. Experimentation and modeling can help us better understand this phenomenon. The present study is focused on the heat transfer during the nucleate pool boiling of refrigerant R141b on the surface of a horizontal copper tube. The results of the experiment were compared with four correlations drawn from the literature, and the critical heat flux was examined for different pressures and also compared with the predicted values. Simulating boiling with two-phase models allowed us to infer the plot of the temperature distribution around the tube and compared it to results from other work.
Go to article

Bibliography

[1] V.K. Dhir. Nucleate and transition boiling heat transfer under pool and external flow conditions. International Journal of Heat and Fluid Flow, 12(4):290–314, 1991. doi: 10.1016/0142-727X(91)90018-Q.
[2] I.L. Pioro, W. Rohsenow, and S.S. Doerffer. Nucleate pool-boiling heat transfer. I: review of parametric effects of boiling surface. International Journal of Heat and Mass Transfer, 47(23):5033–5044, 2004. doi: 10.1016/j.ijheatmasstransfer.2004.06.019.
[3] T. Baki and A. Aris. Etude expérimentale du transfert de chaleur lors de l’ébullition en vase du R141b. (Experimental study of heat transfer during the pool boiling of R141b). Communication Science & Technology, No. 11, July 2012 COST (in French).
[4] T. Baki, A. Aris, and A. Guessab. Impact du diamètre extérieur d’un tube horizontal lors de l’ébullition en vase. (Impact of the outside diameter of a horizontal tube during pool boiling). In 12th Mechanical Congress, 21-24 April 2015, Casablanca, Marocco (in French).
[5] T. Baki, A. Aris, and M. Tebbal. Proposal for a correlation raising the impact of the external diameter of a horizontal tube during pool boiling. International Journal of Thermal Sciences, 84:293–299, 2014. doi: 10.1016/j.ijthermalsci.2014.05.023.
[6] T. Baki. Etude expérimentale et simulation de l’ébullition à l’extérieur d’un tube horizontal. (Experimental study and simulation of boiling outside a horizontal tube). Ph.D. Thesis, University of Sciences and Technology of Oran Mohamed Boudiaf (USTO-MB), Oran, Algeria. (in French).
[7] T. Baki. Ebullition à l’Extérieur d’un Tube Horizontal, Comparaison de Corrélations. (Boiling outside a horizontal tube, comparison of correlations). In National Congress on Energies and Materials (CNEM), December 17-18, 2018, Naâma Algeria (in French).
[8] T. Baki. Ebullition à l’extérieur d’un Tube Horizontal à des Pressions sous Atmosphérique, Comparaison de Corrélations. (Boiling outside a horizontal tube under atmospheric pressures, comparison of correlations). In: 1st International Symposium on Materials, Energy and Environment – MEE'2020, January 20-21, 2020, El Oued, Algeria (in French).
[9] T. Baki. Survey on the nucleate pool boiling of hydrogen and its limits. Journal of Mechanical and Energy Engineering, 4(2):157–166, 2020. doi: 10.30464/jmee.2020.4.2.157.
[10] S. Deb, S. Pal, D.Ch. Das, M. Das, A.K. Das, and R. Das. Surface wettability change on TF nanocoated surfaces during pool boiling heat transfer of refrigerant R-141b. Heat and Mass Transfer, 56(12):3273–3287, 2020. doi: 10.1007/s00231-020-02922-w.
[11] O. Khliyeva, V. Zhelezny, T. Lukianova, N. Lukianov, Yu. Semenyuk, A.L.N.~Moreira, S.M.S.~Murshed, E.~Palomo del Barrio, and A.~Nikulin. A new approach for predicting the pool boiling heat transfer coefficient of refrigerant R141b and its mixtures with surfactant and nanoparticles using experimental data. Journal of Thermal Analysis and Calorimetry, 142(6):2327–2339, 2020. doi: 10.1007/s10973-020-09479-0.
[12] M.Y. Abdullah, Prabowo, and B. Sudarmanta. Analysis degrees superheating refrigerant R141b on evaporator. Heat and Mass Transfer, 1–13, 2020. doi: 10.1007/s00231-020-02963-1.
[13] T. Li, X. Wu, and Q. Ma. Pool boiling heat transfer of R141b on surfaces covered copper foam with circular-shaped channels. Experimental Thermal and Fluid Science, 105:136–143, 2019. doi: 10.1016/j.expthermflusci.2019.03.015.
[14] W.M. Rohsenow. A method of correlating heat transfer data for surface boiling of liquids. Technical Report No. 5.MIT, USA, 1952.
[15] D.A. Labuntsov. Heat transfer problems with nucleate boiling of liquids. Thermal Engineering, 19(9):21–28, 1973.
[16] M.G. Cooper. Saturation nucleate pool boiling – a simple correlation. In: H.C.~Simpson et al. (eds.), First U.K. National Conference on Heat Transfer, The Institution of Chemical Engineers Symposium Series, Volume 2.86, pages 785–793, Pergamon, 1984. doi: 10.1016/B978-0-85295-175-0.50013-8.
[17] K. Cornwall and J.G. Einarsson. Peripheral variation of heat transfer under pool boiling on tubes. International Journal of Heat and Fluid Flow, 4(3):141–144, 1983. doi: 10.1016/0142-727X(83)90059-0.
[18] P.R. Dominiczak and J.T. Cieśliński. Circumferential temperature distribution during nucleate pool boiling outside smooth and modified horizontal tubes. Experimental Thermal and Fluid Science, 33(1):173–177, 2008. doi: 10.1016/j.expthermflusci.2008.07.007.
[19] K. Fukuda and A. Sakurai. Effects of diameters and surface conditions of horizontal test cylinders on subcooled pool boiling CHFs with two mechanisms depending on subcooling and pressure. In: 12th International Heat Transfer Conference, Grenoble, France, August 18–23, 2002. doi: 10.1615/IHTC12.4530.
[20] S.G. Kandlikar. Critical heat flux in subcooled flow boiling – An assessment of current understanding and future directions for research. Multiphase Science and Technology, 13(3):207–232, 2001. doi: 10.1615/MultScienTechn.v13.i3-4.40.
[21] S.S. Kutateladze. On the transition to film boiling under natural convection. Kotloturbostroenie, 3:152–158, 1948.
[22] W.M. Rohsenow, J.P. Hartnett, and Y.I. Cho (eds). Handbook of Heat Transfer, 3 edition, Mc Graw-Hill, 1998.
Go to article

Authors and Affiliations

Touhami Baki
Abdelkader Aris
Mohamed Tebbal
Download PDF Download RIS Download Bibtex

Abstract

Design considerations, material properties and dynamic properties of engineering applications, rotating components, turbine blades, helicopter blades, etc., have significante ffects on system efficiency. Structures made of functionally graded materials have recently begun to take place in such engineering applications, resulting from the development of composite material technology. In this study, vibration and buckling characteristics of axially functionally graded beams whose material properties change along the beam length is analyzed. Beam structural formulations and functionally graded material formulations are obtained for the Classical and the First Order Shear Deformation Theories. Finite element models are derived to carry out the vibratory and stability characteristic analyses. Effects of several parameters, i.e., rotational speed, hub radius, material properties, power law index parameter and boundary conditions are investigated and are displayed in several figures and tables. The calculated results are compared with the ones in open literature and very good agreement is observed.
Go to article

Bibliography

[1] C.T. Loy, K.Y. Lam, and J.N. Reddy. Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences, 41(3):309–324, 1999. doi: 10.1016/S0020-7403(98)00054-X .
[2] B.V. Sankar. An elasticity solution for functionally graded beams. Composites Science and Technology, 61(5):689–696, 2001. doi: 10.1016/S0266-3538(01)00007-0.
[3] M. Aydogdu and V. Taskin. Free vibration analysis of functionally graded beams with simply supported edges. Materials & Design, 28(5):1651–1656, 2007. doi: ;10.1016/j.matdes.2006.02.007.
[4] A. Chakraborty, S. Gopalakrishnan, and J.N. Reddy, A new beam finite element for the analysis of functionally graded materials. International Journal of Mechanical Sciences, 45(3):519–539, 2003. doi: 10.1016/S0020-7403(03)00058-4.
[5] A.J. Goupee and S.S. Vel. Optimization of natural frequencies of bidirectional functionally graded beams. Structural and Multidisciplinary Optimization, 32:473–484, 2006. doi: 10.1007/s00158-006-0022-1.
[6] H.J. Xiang and J. Yang. Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction. Composites Part B:Engineering, 39(2):292–303, 2008. doi: 10.1016/j.compositesb.2007.01.005.
[7] M.T. Piovan and R. Sampaio. A study on the dynamics of rotating beams with functionally graded properties. Journal of Sound and Vibration, 327(1-2):134–143, 2009. doi: 10.1016/j.jsv.2009.06.015.
[8] M Şimşek and T. Kocatürk. Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load. Composite Structures, 90(4):465–473, 2009. doi: 10.1016/j.compstruct.2009.04.024.
[9] P. Malekzadeh, M.R. Golbahar Haghighi, and M.M. Atashi. Out-of-plane free vibration of functionally graded circular curved beams in thermal environment. Composite Structures, 92: 541–552, 2010. doi: 10.1016/j.compstruct.2009.08.040.
[10] Y. Huang and X.F. Li. A new approach for free vibration of axially functionally graded beams with non-uniform cross-section. Journal of Sound and Vibration, 329(11):2291–2303, 2010. doi: 10.1016/j.jsv.2009.12.029.
[11] A. Shahba, R. Attarnejad, M.T. Marvi, and S. Hajilar. Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions. Composites Part B: Engineering, 42(4):801–808, 2011. doi: 10.1016/j.compositesb.2011.01.017.
[12] I. Elishakoff and Y. Miglis. Some intriguing results pertaining to functionally graded columns. Journal of Applied Mechanics, 80(4):1021–1029, 2013. doi: 10.1115/1.4007983.
[13] M. Soltani and B. Asgarian. New hybrid approach for free vibration and stability analyses of axially functionally graded Euler-Bernoulli beams with variable cross-section resting on uniform Winkler-Pasternak foundation. Latin American Journal of Solids and Structures, 16(3):e173, 2019. doi: 10.1590/1679-78254665.
[14] J.H. Kim and G.H. Paulino. Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials. Journal of Applied Mechanics, 69(4):502–514, 2002. doi: 10.1115/1.1467094.
[15] P. Zahedinejad, C. Zhang, H. Zhang, and S. Ju. A comprehensive review on vibration analysis of functionally graded beams. International Journal of Structural Stability and Dynamics, 20(4):2030002, 2020. doi: 10.1142/S0219455420300025.
[16] N. Zhang, T. Khan, H. Guo, S. Shi, W. Zhong, and W. Zhang. Functionally graded materials: An overview of stability, buckling, and free vibration analysis. Advances in Material Science and Engineering, 1354150, 2019. doi: 10.1155/2019/1354150.
[17] Ö. Özdemir. Application of the differential transform method to the free vibration analysis of functionally graded Timoshenko beams. Journal of Theoretical and Applied Mechanics, 54(4):1205–1217, 2016.
[18] B. Kılıç. Vibration analysis of axially functionally graded rotor blades. M.Sc.Thesis, Istanbul Technical University, İstanbul, Turkey, 2019.
[19] S. Rajasekaran. Differential transformation and differential quadrature methods for centrifugally stiffened axially functionally graded tapered beams. International Journal of Mechanical Sciences, 74. 15-31, 2013.
[20] A.D. Wright, C.E. Smith, R.W. Thresher, and J.L.C. Wang. Vibration modes of centrifugally stiffened beams. Journal of Applied Mechanics, 49(1):197–202, 1982. doi: 10.1115/1.3161966.
Go to article

Authors and Affiliations

Burak Kılıç
Özge Özdemir

Instructions for authors

About the Journal
Archive of Mechanical Engineering is an international journal publishing works of wide significance, originality and relevance in most branches of mechanical engineering. The journal is peer-reviewed and is published both in electronic and printed form. Archive of Mechanical Engineering publishes original papers which have not been previously published in other journal, and are not being prepared for publication elsewhere. The publisher will not be held legally responsible should there be any claims for compensation. The journal accepts papers in English.

Archive of Mechanical Engineering is an Open Access journal. The journal does not have article processing charges (APCs) nor article submission charges.

Original high quality papers on the following topics are preferred:

  • Mechanics of Solids and Structures,
  • Fluid Dynamics,
  • Thermodynamics, Heat Transfer and Combustion,
  • Machine Design,
  • Computational Methods in Mechanical Engineering,
  • Robotics, Automation and Control,
  • Mechatronics and Micro-mechanical Systems,
  • Aeronautics and Aerospace Engineering,
  • Heat and Power Engineering.

All submissions to the AME should be made electronically via Editorial System - an online submission and peer review system at: https://www.editorialsystem.com/ame

More detailed instructions for Authors can be found there.

This page uses 'cookies'. Learn more