메뉴 건너뛰기




Volumn 8, Issue 2, 2011, Pages 139-148

Non-linear vibration of Euler-Bernoulli beams

Author keywords

Euler Bernoulli beam; Galerkin method; Non linear vibration; Parametrized Perturbation Method (PPM); Variational Iteration Method (VIM)

Indexed keywords


EID: 79958841817     PISSN: 16797817     EISSN: 16797825     Source Type: Journal    
DOI: 10.1590/S1679-78252011000200002     Document Type: Article
Times cited : (112)

References (32)
  • 2
    • 0001689577 scopus 로고    scopus 로고
    • A semi-analytical approach to the non-linear dynamic response problem of S-S and C-C beams at large vibration amplitudes part I: General theory and application to the single mode approach to free and forced vibration analysis
    • L. Azrar, R. Benamar, and R.G. White. A semi-analytical approach to the non-linear dynamic response problem of S-S and C-C beams at large vibration amplitudes part I: general theory and application to the single mode approach to free and forced vibration analysis. J. Sound Vib., 224:183-207, 1999.
    • (1999) J. Sound Vib , vol.224 , pp. 183-207
    • Azrar, L.1    Benamar, R.2    White, R.G.3
  • 3
    • 78651552229 scopus 로고    scopus 로고
    • Assessment of two analytical methods in solving the linear and nonlinear elastic beam deformation problems
    • A. Barari, B. Ganjavi, M. Ghanbari Jeloudar, and G. Domairry. Assessment of two analytical methods in solving the linear and nonlinear elastic beam deformation problems. Journal of Engineering, Design and Technology, 8(2):127-145, 2010.
    • (2010) Journal of Engineering, Design and Technology , vol.8 , Issue.2 , pp. 127-145
    • Barari, A.1    Ganjavi, B.2    Ghanbari Jeloudar, M.3    Domairry, G.4
  • 5
    • 48849111173 scopus 로고    scopus 로고
    • An approximate solution for boundary value problems in structural engineering and fluid mechanics
    • Article ID 394103
    • A. Barari, M. Omidvar, D.D. Ganji, and A. Tahmasebi Poor. An approximate solution for boundary value problems in structural engineering and fluid mechanics. Journal of Mathematical Problems in Engineering, pages 1-13, 2008. Article ID 394103.
    • (2008) Journal of Mathematical Problems in Engineering , pp. 1-13
    • Barari, A.1    Omidvar, M.2    Ganji, D.D.3    Tahmasebi Poor, A.4
  • 6
    • 52949132624 scopus 로고    scopus 로고
    • Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations
    • A. Barari, M. Omidvar, Abdoul R. Ghotbi, and D.D. Ganji. Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations. Acta Applicandae Mathematicae, 104:161-171, 2008.
    • (2008) Acta Applicandae Mathematicae , vol.104 , pp. 161-171
    • Barari, A.1    Omidvar, M.2    Abdoul Ghotbi, R.3    Ganji, D.D.4
  • 7
    • 77958074281 scopus 로고    scopus 로고
    • On the approximate analysis of nonlinear behavior of structure under harmonic loading
    • M. Bayat, M. Shahidi, A. Barari, and G. Domairry. On the approximate analysis of nonlinear behavior of structure under harmonic loading. International Journal of Physical Sciences, 5(7):1074-1080, 2010.
    • (2010) International Journal of Physical Sciences , vol.5 , Issue.7 , pp. 1074-1080
    • Bayat, M.1    Shahidi, M.2    Barari, A.3    Domairry, G.4
  • 8
    • 12244260118 scopus 로고    scopus 로고
    • Closed form solutions of euler-bernoulli beams with singularities
    • B. Biondi and S. Caddemi. Closed form solutions of euler-bernoulli beams with singularities. International Journal of Solids and Structures, 42:3027-3044, 2005.
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 3027-3044
    • Biondi, B.1    Caddemi, S.2
  • 9
    • 85137275388 scopus 로고
    • Free vibration of a pin-ended column with constant distance between pin ends
    • D. Burgreen. Free vibration of a pin-ended column with constant distance between pin ends. Journal of Applied Mechanics, 18:135-139, 1984.
    • (1984) Journal of Applied Mechanics , vol.18 , pp. 135-139
    • Burgreen, D.1
  • 11
    • 85007679685 scopus 로고
    • Large amplitude vibration of buckled beams and rectangular plates
    • J. G. Eisley. Large amplitude vibration of buckled beams and rectangular plates. AIAA Journal, 2:2207-2209, 1964.
    • (1964) AIAA Journal , vol.2 , pp. 2207-2209
    • Eisley, J.G.1
  • 12
    • 20844445355 scopus 로고
    • Nonlinear vibration of beams and rectangular plates
    • J. G. Eisley. Nonlinear vibration of beams and rectangular plates. ZAMP, 15:167-175, 1964.
    • (1964) ZAMP , vol.15 , pp. 167-175
    • Eisley, J.G.1
  • 13
    • 84863009060 scopus 로고    scopus 로고
    • Nonlinear vibration of oscillation systems using frequency-amplitude formulation
    • DOI: 10.3233/SAV-2011-0633
    • A. Fereidoon, M. Ghadimi, A. Barari, H.D. Kaliji, and G. Domairry. Nonlinear vibration of oscillation systems using frequency-amplitude formulation. Shock and Vibration, 2011. DOI: 10.3233/SAV-2011-0633.
    • (2011) Shock and Vibration
    • Fereidoon, A.1    Ghadimi, M.2    Barari, A.3    Kaliji, H.D.4    Domairry, G.5
  • 14
    • 77951790468 scopus 로고    scopus 로고
    • Highly nonlinear temperature dependent fin analysis by Variational Iteration Method
    • F. Fouladi, E. Hosseinzadeh, A. Barari, and G. Domairry. Highly nonlinear temperature dependent fin analysis by Variational Iteration Method. Journal of Heat Transfer Research, 41(2):155-165, 2010.
    • (2010) Journal of Heat Transfer Research , vol.41 , Issue.2 , pp. 155-165
    • Fouladi, F.1    Hosseinzadeh, E.2    Barari, A.3    Domairry, G.4
  • 15
    • 79651472493 scopus 로고    scopus 로고
    • Approximate analyses of two mass-spring systems and buckling of a column
    • S.S. Ganji, A. Barari, and D.D. Ganji. Approximate analyses of two mass-spring systems and buckling of a column. Computers & Mathematics with Applications, 61(4):1088-1095, 2011.
    • (2011) Computers & Mathematics with Applications , vol.61 , Issue.4 , pp. 1088-1095
    • Ganji, S.S.1    Barari, A.2    Ganji, D.D.3
  • 16
    • 84856430706 scopus 로고    scopus 로고
    • Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow
    • DOI: 10.1007/s10100-010-0154-7
    • S.S. Ganji, A. Barari, L.B. Ibsen, and G. Domairry. Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow. Central European Journal of Operations Research, 2011. DOI: 10.1007/s10100-010-0154-7.
    • (2011) Central European Journal of Operations Research
    • Ganji, S.S.1    Barari, A.2    Ibsen, L.B.3    Domairry, G.4
  • 17
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of non-linear analytical technique: Some examples
    • J.H. He. Variational iteration method-a kind of non-linear analytical technique: Some examples. International Journal of Nonlinear Mechanics, 34:699-708, 1999.
    • (1999) International Journal of Nonlinear Mechanics , vol.34 , pp. 699-708
    • He, J.H.1
  • 18
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • J.H. He. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B, 20(10):1141-1199, 2006.
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 19
    • 77957955886 scopus 로고    scopus 로고
    • Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods
    • L.B. Ibsen, A. Barari, and A. Kimiaeifar. Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods. Sadhana, 35:1-16, 2010.
    • (2010) Sadhana , vol.35 , pp. 1-16
    • Ibsen, L.B.1    Barari, A.2    Kimiaeifar, A.3
  • 26
    • 0027316643 scopus 로고
    • Application of the harmonic balance principle to the nonlinear free vibration of beams
    • M.I. Qaisi. Application of the harmonic balance principle to the nonlinear free vibration of beams. Appl. Acoust., 40:141-151, 1993.
    • (1993) Appl. Acoust , vol.40 , pp. 141-151
    • Qaisi, M.I.1
  • 27
  • 28
    • 0021097280 scopus 로고
    • Lagrange-type formulation for finite element analysis of nonlinear beam vibrations
    • B.S. Sarma and T.K. Varadan. Lagrange-type formulation for finite element analysis of nonlinear beam vibrations. J. Sound Vib., 86:61-70, 1983.
    • (1983) J. Sound Vib , vol.86 , pp. 61-70
    • Sarma, B.S.1    Varadan, T.K.2
  • 31
    • 0030572268 scopus 로고    scopus 로고
    • Finite element time domain model formulation for large amplitude free vibrations of beams and plates
    • Y. Shi and C.A. Mei. Finite element time domain model formulation for large amplitude free vibrations of beams and plates. J. Sound Vib., 193:453-465, 1996.
    • (1996) J. Sound Vib , vol.193 , pp. 453-465
    • Shi, Y.1    Mei, C.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.