메뉴 건너뛰기




Volumn 106-107, Issue , 2012, Pages 46-55

Homotopy perturbation study of nonlinear vibration of von Karman rectangular plates

Author keywords

Homotopy perturbation method; Nonlinear vibration; Plates; Time function

Indexed keywords

AIRY STRESS FUNCTION; COUPLED EQUATION; FOURTH-ORDER RUNGE-KUTTA METHODS; HOMOTOPIES; HOMOTOPY PERTURBATION METHOD (HPM); ISOTROPIC PLATES; NON-LINEAR VIBRATIONS; NUMERICAL SOLUTION; PLATES; RECTANGULAR PLATES; ROTARY INERTIAS; TIME FUNCTION; VON KARMAN; VON KARMAN THEORY;

EID: 84863791163     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2012.04.004     Document Type: Article
Times cited : (53)

References (27)
  • 1
    • 0030258196 scopus 로고    scopus 로고
    • Nonlinear vibrations of plates: An update of recent research developments
    • M. Sathyamoorphy Nonlinear vibrations of plates: an update of recent research developments Appl Mech Rev 49 1996 55 62
    • (1996) Appl Mech Rev , vol.49 , pp. 55-62
    • Sathyamoorphy, M.1
  • 2
    • 0038013712 scopus 로고    scopus 로고
    • Geometrically non-linear free vibrations of clamped simply supported rectangular plates. Part I: The effects of large vibration amplitudes on the fundamental mode shapes
    • K.EI. Bikri, R. Benamar, and M. Bennouna Geometrically non-linear free vibrations of clamped simply supported rectangular plates. Part I: The effects of large vibration amplitudes on the fundamental mode shapes Comput Struct 81 2003 2029 2043
    • (2003) Comput Struct , vol.81 , pp. 2029-2043
    • Bikri, K.Ei.1    Benamar, R.2    Bennouna, M.3
  • 3
    • 0034155643 scopus 로고    scopus 로고
    • Non-linear free vibration of isotropic plates with internal resonance
    • P. Ribeiro, and M. Petyt Non-linear free vibration of isotropic plates with internal resonance Int J Nonlinear Mech 36 2000 263 278
    • (2000) Int J Nonlinear Mech , vol.36 , pp. 263-278
    • Ribeiro, P.1    Petyt, M.2
  • 5
    • 33947266613 scopus 로고    scopus 로고
    • A multiple scale method solution for the nonlinear vibration of rectangular plates
    • A. Shooshtari, and S.E. Khadem A multiple scale method solution for the nonlinear vibration of rectangular plates Scientia Iranica 14 2007 64 71
    • (2007) Scientia Iranica , vol.14 , pp. 64-71
    • Shooshtari, A.1    Khadem, S.E.2
  • 6
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method for homotopy technique and perturbation technique for nonlinear problem
    • J.H. He A coupling method for homotopy technique and perturbation technique for nonlinear problem Int J Non-Linear Mech 35 2000 37 43
    • (2000) Int J Non-Linear Mech , vol.35 , pp. 37-43
    • He, J.H.1
  • 7
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for non-linear oscillators with discontinuities
    • J.H. He The homotopy perturbation method for non-linear oscillators with discontinuities Appl Math Comput 151 2004 287 292
    • (2004) Appl Math Comput , vol.151 , pp. 287-292
    • He, J.H.1
  • 8
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • J.H. He Application of homotopy perturbation method to nonlinear wave equations Chaos Solitons Fract 26 2005 695 700
    • (2005) Chaos Solitons Fract , vol.26 , pp. 695-700
    • He, J.H.1
  • 9
    • 62649169067 scopus 로고    scopus 로고
    • Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates
    • M.M. Rashidi, H. Shahmohamadi, and S. Dinarvand Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates Math Probl Eng 2008 1 13
    • (2008) Math Probl Eng , pp. 1-13
    • Rashidi, M.M.1    Shahmohamadi, H.2    Dinarvand, S.3
  • 10
    • 63449135805 scopus 로고    scopus 로고
    • Explicit analytical solutions of the generalized Burger and Burger-Fisher equations by homotopy perturbation method
    • M.M. Rashidi, D.D. Ganji, and S. Dinarvand Explicit analytical solutions of the generalized Burger and Burger-Fisher equations by homotopy perturbation method Numer Methods Partial Diff Equat 25 2009 409 417
    • (2009) Numer Methods Partial Diff Equat , vol.25 , pp. 409-417
    • Rashidi, M.M.1    Ganji, D.D.2    Dinarvand, S.3
  • 11
    • 44649093195 scopus 로고    scopus 로고
    • Nonlinear free vibration of conservative oscillators with inertia and static type cubic nonlinearities using homotopy analysis method
    • S.H. Hoseini, T. Pirbodaghi, M. Asghari, G.H. Farrahi, and M.T. Ahmadian Nonlinear free vibration of conservative oscillators with inertia and static type cubic nonlinearities using homotopy analysis method J Sound Vib 316 2008 263 273
    • (2008) J Sound Vib , vol.316 , pp. 263-273
    • Hoseini, S.H.1    Pirbodaghi, T.2    Asghari, M.3    Farrahi, G.H.4    Ahmadian, M.T.5
  • 12
    • 68149114393 scopus 로고    scopus 로고
    • Application of homotopy analysis method in studying dynamic pull-in instability of microsystems
    • M.M. Zand, and M.T. Ahmadian Application of homotopy analysis method in studying dynamic pull-in instability of microsystems Mech Res Commun 36 2009 851 858
    • (2009) Mech Res Commun , vol.36 , pp. 851-858
    • Zand, M.M.1    Ahmadian, M.T.2
  • 13
    • 60449106204 scopus 로고    scopus 로고
    • On the homotopy analysis method for non-linear vibration of beams
    • T. Pirbodaghi, M.T. Ahmadian, and M. Fesanghary On the homotopy analysis method for non-linear vibration of beams Mech Res Commun 36 2009 143 148
    • (2009) Mech Res Commun , vol.36 , pp. 143-148
    • Pirbodaghi, T.1    Ahmadian, M.T.2    Fesanghary, M.3
  • 14
    • 0029386401 scopus 로고
    • Nonlinear normal modes of a cantilever beams
    • A.H. Nayfeh, and C. Chin Nonlinear normal modes of a cantilever beams J Vib Acoust 117 1995 474 481
    • (1995) J Vib Acoust , vol.117 , pp. 474-481
    • Nayfeh, A.H.1    Chin, C.2
  • 15
    • 0030193842 scopus 로고    scopus 로고
    • On nonlinear normal modes of systems with internal resonance
    • A.H. Nayfeh, C. Chin, and S.A. Nayfeh On nonlinear normal modes of systems with internal resonance J Vib Acoust 118 1996 340 345
    • (1996) J Vib Acoust , vol.118 , pp. 340-345
    • Nayfeh, A.H.1    Chin, C.2    Nayfeh, S.A.3
  • 16
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • J.H. He Homotopy perturbation technique Comput Methods Appl Mech Eng 178 1999 257 262
    • (1999) Comput Methods Appl Mech Eng , vol.178 , pp. 257-262
    • He, J.H.1
  • 17
    • 34249884541 scopus 로고    scopus 로고
    • A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a non-linear oscillator with discontinuities
    • T. Öziş, and A. Yildirim A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a non-linear oscillator with discontinuities Commun Nonlinear Sci Numer Simulation 8 2 2007 243 248
    • (2007) Commun Nonlinear Sci Numer Simulation , vol.8 , Issue.2 , pp. 243-248
    • Öziş, T.1    Yildirim, A.2
  • 19
    • 84900315058 scopus 로고    scopus 로고
    • Homotopy semi-numerical simulation of peristaltic flow of generalized oldroyd-b fluids with slip effect
    • in press
    • Tripathi D, Anwar Bég O, Curiel-Sosa J.L. Homotopy semi-numerical simulation of peristaltic flow of generalized oldroyd-b fluids with slip effect. Comput Methods Biomech Biomed Eng, in press.
    • Comput Methods Biomech Biomed Eng
    • Tripathi, D.1    Anwar Bég, O.2    Curiel-Sosa, J.L.3
  • 22
    • 84857956780 scopus 로고    scopus 로고
    • A study of non-Newtonian flow and heat transfer over a non-isothermal wedge using the homotopy analysis method
    • M.M. Rashidi, O. Anwar Bég, and M.T. Rastegari A study of non-Newtonian flow and heat transfer over a non-isothermal wedge using the homotopy analysis method Chem Eng Commun 199 2 2012 231 256
    • (2012) Chem Eng Commun , vol.199 , Issue.2 , pp. 231-256
    • Rashidi, M.M.1    Anwar Bég, O.2    Rastegari, M.T.3
  • 23
    • 70350168642 scopus 로고    scopus 로고
    • Transient magneto-micropolar free convection heat and mass transfer through a non-Darcy porous medium channel with variable thermal conductivity and heat source effects
    • S. Rawat, R. Bhargava, Renu Bhargava, and O. Anwar Bég Transient magneto-micropolar free convection heat and mass transfer through a non-Darcy porous medium channel with variable thermal conductivity and heat source effects Proc IMechE Part C- J Mech Eng Sci 223 2009 2341 2355
    • (2009) Proc IMechE Part C- J Mech Eng Sci , vol.223 , pp. 2341-2355
    • Rawat, S.1    Bhargava, R.2    Bhargava, R.3    Anwar Bég, O.4
  • 24
    • 73349091216 scopus 로고    scopus 로고
    • Network numerical analysis of hydromagnetic squeeze film flow dynamics between two parallel rotating disks with induced magnetic field effects
    • J. Zueco, and O. Anwar Bég Network numerical analysis of hydromagnetic squeeze film flow dynamics between two parallel rotating disks with induced magnetic field effects Tribology Int 43 2010 532 543
    • (2010) Tribology Int , vol.43 , pp. 532-543
    • Zueco, J.1    Anwar Bég, O.2
  • 25
    • 78449274620 scopus 로고    scopus 로고
    • Free convection heat and mass transfer from an isothermal sphere to a micropolar regime with Soret/Dufour effects
    • O. Anwar Bég, V.R. Prasad, B. Vasu, N. Bhaskar Reddy, Q. Li, and R. Bhargava Free convection heat and mass transfer from an isothermal sphere to a micropolar regime with Soret/Dufour effects Int J Heat Mass Transfer 54 2011 9 18
    • (2011) Int J Heat Mass Transfer , vol.54 , pp. 9-18
    • Anwar Bég, O.1    Prasad, V.R.2    Vasu, B.3    Bhaskar Reddy, N.4    Li, Q.5    Bhargava, R.6
  • 26
    • 84858207633 scopus 로고    scopus 로고
    • Numerical simulation of axisymmetric supersonic viscous flow over a blunt cone with a diagonal fourth-order finite difference method
    • M.M. Rashidi, M. Moradi Bastani, and O. Anwar Bég Numerical simulation of axisymmetric supersonic viscous flow over a blunt cone with a diagonal fourth-order finite difference method Proc Institution Mech Eng Part G: J Aerospace Eng 226 3 2012 310 326
    • (2012) Proc Institution Mech Eng Part G: J Aerospace Eng , vol.226 , Issue.3 , pp. 310-326
    • Rashidi, M.M.1    Moradi Bastani, M.2    Anwar Bég, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.