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Volumn 85, Issue 12, 2008, Pages 871-878

Semi-exact solution of elastic non-uniform thickness and density rotating disks by homotopy perturbation and Adomian's decomposition methods. Part I: Elastic solution

Author keywords

Adomian's decomposition method; Homotopy perturbation method; Rotating annular disk; Variable thickness; Variational iteration method

Indexed keywords

ATMOSPHERICS; CONVERGENCE OF NUMERICAL METHODS; DISKS (MACHINE COMPONENTS); DISKS (STRUCTURAL COMPONENTS); FINITE ELEMENT METHOD; HELIUM; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; NUMERICAL METHODS; OPERATIONS RESEARCH; OSCILLATORS (MECHANICAL); PARTICLE SIZE ANALYSIS; RADIOMETERS; ROTATING DISKS; ROTATION; SOLUTIONS; THICKNESS CONTROL; WHEELS;

EID: 56549090426     PISSN: 03080161     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpvp.2008.06.001     Document Type: Article
Times cited : (42)

References (33)
  • 1
    • 0020816137 scopus 로고
    • Tresca's yield condition and the rotating solid disk
    • Gamer U. Tresca's yield condition and the rotating solid disk. J Appl Mech 50 (1983) 676-678
    • (1983) J Appl Mech , vol.50 , pp. 676-678
    • Gamer, U.1
  • 2
    • 0012207977 scopus 로고
    • The elastic-plastic stress distribution in the rotating annulus and in the annulus under external pressure
    • Gamer U. The elastic-plastic stress distribution in the rotating annulus and in the annulus under external pressure. Z Angew Math Mech 64 (1984) T126-T128
    • (1984) Z Angew Math Mech , vol.64
    • Gamer, U.1
  • 3
    • 0000141097 scopus 로고
    • Stress distribution in the rotating elastic-plastic disk
    • Gamer U. Stress distribution in the rotating elastic-plastic disk. Z Angew Math Mech 65 (1985) T136-T137
    • (1985) Z Angew Math Mech , vol.65
    • Gamer, U.1
  • 4
    • 56549116953 scopus 로고
    • Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density
    • Güven U. Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density. Int J Mech Sci 43 (1992) 1137-1153
    • (1992) Int J Mech Sci , vol.43 , pp. 1137-1153
    • Güven, U.1
  • 5
    • 0002893147 scopus 로고
    • The fully plastic rotating disk of variable thickness
    • Güven U. The fully plastic rotating disk of variable thickness. Z Angew Math Mech 74 (1994) 61-65
    • (1994) Z Angew Math Mech , vol.74 , pp. 61-65
    • Güven, U.1
  • 6
    • 0000615571 scopus 로고
    • An approximate solution technique not depending on small parameters: a special example
    • Liao S.J. An approximate solution technique not depending on small parameters: a special example. Int J Nonlinear Mech 303 (1995) 371-380
    • (1995) Int J Nonlinear Mech , vol.303 , pp. 371-380
    • Liao, S.J.1
  • 7
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput Methods Appl Mech Eng 167 1-2 (1998) 57-68
    • (1998) Comput Methods Appl Mech Eng , vol.167 , Issue.1-2 , pp. 57-68
    • He, J.H.1
  • 8
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • He J.H. Homotopy perturbation technique. Comput Methods Appl Mech Eng 178 3-4 (1999) 257-262
    • (1999) Comput Methods Appl Mech Eng , vol.178 , Issue.3-4 , pp. 257-262
    • He, J.H.1
  • 9
    • 4344696077 scopus 로고    scopus 로고
    • Asymptotology by homotopy perturbation method
    • He J.H. Asymptotology by homotopy perturbation method. Appl Math Comput 156 (2004) 591-596
    • (2004) Appl Math Comput , vol.156 , pp. 591-596
    • He, J.H.1
  • 10
    • 18844391045 scopus 로고    scopus 로고
    • Limit cycle and bifurcation of nonlinear problems
    • He J.H. Limit cycle and bifurcation of nonlinear problems. Chaos Solitons Fractals 26 3 (2005) 827-833
    • (2005) Chaos Solitons Fractals , vol.26 , Issue.3 , pp. 827-833
    • He, J.H.1
  • 11
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: a new nonlinear analytical technique
    • He J.H. Homotopy perturbation method: a new nonlinear analytical technique. Appl Math Comput 135 (2003) 73-80
    • (2003) Appl Math Comput , vol.135 , pp. 73-80
    • He, J.H.1
  • 12
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int J Nonlinear Sci Numer Simul 6 2 (2005) 207-208
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.2 , pp. 207-208
    • He, J.H.1
  • 13
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of non-linear analytical technique: some examples
    • He J.H. Variational iteration method - a kind of non-linear analytical technique: some examples. Int J Nonlinear Mech 34 (1999) 699-708
    • (1999) Int J Nonlinear Mech , vol.34 , pp. 699-708
    • He, J.H.1
  • 14
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution for nonlinear differential equations with convolution product nonlinearities
    • He J.H. Approximate solution for nonlinear differential equations with convolution product nonlinearities. Comput Methods Appl Mech Eng 167 (1998) 69-73
    • (1998) Comput Methods Appl Mech Eng , vol.167 , pp. 69-73
    • He, J.H.1
  • 15
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos Solitons Fractals 29 1 (2006) 108-113
    • (2006) Chaos Solitons Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 16
    • 52049126736 scopus 로고    scopus 로고
    • Variational iteration solution of elastic non uniform thickness and density rotating disks
    • Hojjati M.H., and Jafari S. Variational iteration solution of elastic non uniform thickness and density rotating disks. Far East J Appl Math 29 (2007) 185-200
    • (2007) Far East J Appl Math , vol.29 , pp. 185-200
    • Hojjati, M.H.1    Jafari, S.2
  • 20
    • 33847062377 scopus 로고    scopus 로고
    • New applications of Adomian decomposition method
    • El-Wakil S.A., and Abdou M.A. New applications of Adomian decomposition method. Chaos Solitons Fractals 33 (2007) 513-522
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 513-522
    • El-Wakil, S.A.1    Abdou, M.A.2
  • 21
    • 0037128905 scopus 로고    scopus 로고
    • A decomposition method for solving the convective longitudinal fins with variable thermal conductivity
    • Chiu C.-H., and Chen C.-K. A decomposition method for solving the convective longitudinal fins with variable thermal conductivity. Int J Heat Mass Transfer 45 (2002) 2067-2075
    • (2002) Int J Heat Mass Transfer , vol.45 , pp. 2067-2075
    • Chiu, C.-H.1    Chen, C.-K.2
  • 22
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Int J Mod Phys B 20 10 (2006) 1141-1199
    • (2006) Int J Mod Phys B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 23
    • 56549121974 scopus 로고    scopus 로고
    • He JH. Non-perturbative methods for strongly nonlinear problems. Dissertation, de-Verlag im. Internet GmbH. Berlin; 2006.
    • He JH. Non-perturbative methods for strongly nonlinear problems. Dissertation, de-Verlag im. Internet GmbH. Berlin; 2006.
  • 24
    • 56549086364 scopus 로고    scopus 로고
    • Hojjati MH, Jafari S. Semi-exact solution of non uniform thickness and density rotating disks. Part II: elastic - strain hardening solution, in preparation.
    • Hojjati MH, Jafari S. Semi-exact solution of non uniform thickness and density rotating disks. Part II: elastic - strain hardening solution, in preparation.
  • 25
    • 43449138172 scopus 로고    scopus 로고
    • Analysis of functionally graded rotating disks with variable thickness
    • Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., and Mahdi E. Analysis of functionally graded rotating disks with variable thickness. Mech Res Commun 35 5 (2008) 283-309
    • (2008) Mech Res Commun , vol.35 , Issue.5 , pp. 283-309
    • Bayat, M.1    Saleem, M.2    Sahari, B.B.3    Hamouda, A.M.S.4    Mahdi, E.5
  • 26
    • 0034507605 scopus 로고    scopus 로고
    • Numerical analysis of elastic-plastic rotating disks with arbitrary variable thickness and density
    • You L.H. Numerical analysis of elastic-plastic rotating disks with arbitrary variable thickness and density. Int J Solids Struct 37 (2000) 7809-7820
    • (2000) Int J Solids Struct , vol.37 , pp. 7809-7820
    • You, L.H.1
  • 27
    • 33749516795 scopus 로고    scopus 로고
    • Plane strain analytical solutions for a functionally graded elastic-plastic pressurized tube
    • Eraslan A.N., and Akis T. Plane strain analytical solutions for a functionally graded elastic-plastic pressurized tube. Int J Pres Ves Pip 83 (2006) 635-644
    • (2006) Int J Pres Ves Pip , vol.83 , pp. 635-644
    • Eraslan, A.N.1    Akis, T.2
  • 28
    • 35148844298 scopus 로고    scopus 로고
    • Elastic stress analysis of rotating converging conical disks subjected to thermal load and having variable density along the radius
    • Vivio F., and Vullo V. Elastic stress analysis of rotating converging conical disks subjected to thermal load and having variable density along the radius. Int J Solids Struct 44 (2007) 7767-7784
    • (2007) Int J Solids Struct , vol.44 , pp. 7767-7784
    • Vivio, F.1    Vullo, V.2
  • 30
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of homotopy technique and perturbation technique for nonlinear problems
    • He J.H. A coupling method of homotopy technique and perturbation technique for nonlinear problems. Int J Nonlinear Mech 35 1 (2000) 37-43
    • (2000) Int J Nonlinear Mech , vol.35 , Issue.1 , pp. 37-43
    • He, J.H.1
  • 31
    • 0042563171 scopus 로고    scopus 로고
    • Elastic-plastic deformations of rotating variable thickness annular disks with free, pressurized and radially constrained boundary conditions
    • Eraslan A.N. Elastic-plastic deformations of rotating variable thickness annular disks with free, pressurized and radially constrained boundary conditions. Int J Mech Sci 45 (2003) 643-667
    • (2003) Int J Mech Sci , vol.45 , pp. 643-667
    • Eraslan, A.N.1
  • 33
    • 0021294098 scopus 로고
    • Elastic-plastic deformation of the rotating solid disk
    • Gamer U. Elastic-plastic deformation of the rotating solid disk. Ing Arch 54 (1984) 345-354
    • (1984) Ing Arch , vol.54 , pp. 345-354
    • Gamer, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.