메뉴 건너뛰기




Volumn 45, Issue 10, 2009, Pages 624-631

Relatively simple finite element formulation for the large amplitude free vibrations of uniform beams

Author keywords

Beams; FEM; Free vibration; Iterative solution; Large amplitude

Indexed keywords

BEAMS; FEM; FREE VIBRATION; ITERATIVE SOLUTION; LARGE AMPLITUDE;

EID: 68149171127     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2009.04.001     Document Type: Article
Times cited : (36)

References (27)
  • 1
    • 85137266922 scopus 로고
    • The effect of an axial force on the vibration of hinged bars
    • Woinowsky-Krieger S. The effect of an axial force on the vibration of hinged bars. ASME Journal of Applied Mechanics 17 (1950) 35-36
    • (1950) ASME Journal of Applied Mechanics , vol.17 , pp. 35-36
    • Woinowsky-Krieger, S.1
  • 2
    • 85007688945 scopus 로고
    • Nonlinear vibrations of beams with various boundary conditions
    • Evensen D.A. Nonlinear vibrations of beams with various boundary conditions. AIAA 6 2 (1968) 370-372
    • (1968) AIAA , vol.6 , Issue.2 , pp. 370-372
    • Evensen, D.A.1
  • 3
    • 84986980827 scopus 로고
    • Large amplitude free oscillations of beams and plates
    • Srinivasan A.V. Large amplitude free oscillations of beams and plates. AIAA 3 (1965) 1951-1953
    • (1965) AIAA , vol.3 , pp. 1951-1953
    • Srinivasan, A.V.1
  • 5
    • 85003360388 scopus 로고
    • Nonlinear vibration of beams by matrix displacement method
    • Mei C. Nonlinear vibration of beams by matrix displacement method. AIAA 10 3 (1972) 355-357
    • (1972) AIAA , vol.10 , Issue.3 , pp. 355-357
    • Mei, C.1
  • 6
    • 85003340136 scopus 로고
    • Finite element analysis of nonlinear vibrations of beam columns
    • Mei C. Finite element analysis of nonlinear vibrations of beam columns. AIAA 11 (1973) 115-117
    • (1973) AIAA , vol.11 , pp. 115-117
    • Mei, C.1
  • 7
    • 0015567290 scopus 로고
    • Finite element displacement method for large amplitude free flexural vibrations of beams and plates
    • Mei C. Finite element displacement method for large amplitude free flexural vibrations of beams and plates. Computers and Structures 3 (1973) 163-174
    • (1973) Computers and Structures , vol.3 , pp. 163-174
    • Mei, C.1
  • 8
    • 0016965101 scopus 로고
    • Finite element formulation for the large amplitude free vibrations of slender beams and orthotropic circular plates
    • Venkateswara Rao G., Kanaka Raju K., and Raju I.S. Finite element formulation for the large amplitude free vibrations of slender beams and orthotropic circular plates. Computers and Structures 6 (1976) 169-172
    • (1976) Computers and Structures , vol.6 , pp. 169-172
    • Venkateswara Rao, G.1    Kanaka Raju, K.2    Raju, I.S.3
  • 9
    • 68149134958 scopus 로고
    • A comparative study on the use of consistent and lumped mass approach for the large amplitude free vibrations of slender beams
    • Venkateswara Rao G. A comparative study on the use of consistent and lumped mass approach for the large amplitude free vibrations of slender beams. Journal of Structure Engineering 6 4 (1979) 243-246
    • (1979) Journal of Structure Engineering , vol.6 , Issue.4 , pp. 243-246
    • Venkateswara Rao, G.1
  • 10
    • 0017301834 scopus 로고
    • Effect of longitudinal or in-plane deformation and inertia on the large amplitude flexural vibrations of slender beams and thin plates
    • Raju I.S., Venkateswara Rao G., and Kanaka Raju K. Effect of longitudinal or in-plane deformation and inertia on the large amplitude flexural vibrations of slender beams and thin plates. Journal of Sound and Vibration 49 (1976) 415-422
    • (1976) Journal of Sound and Vibration , vol.49 , pp. 415-422
    • Raju, I.S.1    Venkateswara Rao, G.2    Kanaka Raju, K.3
  • 11
    • 85003405884 scopus 로고
    • Comments on non-linear vibration of immovably supported beams by finite element methods
    • Prathap G., and Bhashyam G.R. Comments on non-linear vibration of immovably supported beams by finite element methods. AIAA 18 (1980) 733-734
    • (1980) AIAA , vol.18 , pp. 733-734
    • Prathap, G.1    Bhashyam, G.R.2
  • 12
    • 0020469294 scopus 로고
    • Certain discussions in the finite element formulation of non-linear vibration analysis
    • Sarma B.S., and Varadan T.K. Certain discussions in the finite element formulation of non-linear vibration analysis. Computers and Structures 15 (1982) 643-646
    • (1982) Computers and Structures , vol.15 , pp. 643-646
    • Sarma, B.S.1    Varadan, T.K.2
  • 13
    • 0024607546 scopus 로고
    • Nonlinear vibrations of unsymmetrically laminated beams
    • Kapania R.K., and Raciti S. Nonlinear vibrations of unsymmetrically laminated beams. AIAA 27 2 (1989) 201-210
    • (1989) AIAA , vol.27 , Issue.2 , pp. 201-210
    • Kapania, R.K.1    Raciti, S.2
  • 14
    • 0000912002 scopus 로고
    • Re-investigation of large amplitude free vibrations of beams using finite elements
    • Singh G., Venkateswara Rao G., and Iyengar N.G.R. Re-investigation of large amplitude free vibrations of beams using finite elements. Journal of Sound and Vibration 143 (1990) 351-355
    • (1990) Journal of Sound and Vibration , vol.143 , pp. 351-355
    • Singh, G.1    Venkateswara Rao, G.2    Iyengar, N.G.R.3
  • 15
    • 0001689577 scopus 로고    scopus 로고
    • A semianalytical approach to the nonlinear dynamic response problems 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
    • Azrar I., Benamar R., and White R.G. A semianalytical approach to the nonlinear dynamic response problems 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. Journal of Sound and Vibration 224 (1999) 183-207
    • (1999) Journal of Sound and Vibration , vol.224 , pp. 183-207
    • Azrar, I.1    Benamar, R.2    White, R.G.3
  • 16
    • 21144445354 scopus 로고    scopus 로고
    • Large-amplitude free vibrations of beams-an energy approach
    • Venkateswara Rao G., and Raju K.K. Large-amplitude free vibrations of beams-an energy approach. ZAMM 7 (2003) 493-498
    • (2003) ZAMM , vol.7 , pp. 493-498
    • Venkateswara Rao, G.1    Raju, K.K.2
  • 17
    • 14744283466 scopus 로고    scopus 로고
    • Towards improved evaluation of large amplitude free vibration behaviour of uniform beams using multi-term admissible functions
    • Kanaka Raju K., and Venkateswara Rao G. Towards improved evaluation of large amplitude free vibration behaviour of uniform beams using multi-term admissible functions. Journal of Sound and Vibration 282 (2005) 1238-1246
    • (2005) Journal of Sound and Vibration , vol.282 , pp. 1238-1246
    • Kanaka Raju, K.1    Venkateswara Rao, G.2
  • 19
    • 0035466083 scopus 로고    scopus 로고
    • Nonlinear vibration of plane structures by finite element and incremental harmonic balance method
    • Chen S.H., Cheung Y.K., and Xing H.X. Nonlinear vibration of plane structures by finite element and incremental harmonic balance method. Nonlinear Dynamics 26 (2001) 87-104
    • (2001) Nonlinear Dynamics , vol.26 , pp. 87-104
    • Chen, S.H.1    Cheung, Y.K.2    Xing, H.X.3
  • 20
    • 0013409480 scopus 로고
    • Nonlinear natural vibration analysis of beams by selective coefficient increment
    • Leung A.Y.T. Nonlinear natural vibration analysis of beams by selective coefficient increment. Computational Mechanics 5 (1989) 73-80
    • (1989) Computational Mechanics , vol.5 , pp. 73-80
    • Leung, A.Y.T.1
  • 23
    • 0031236759 scopus 로고    scopus 로고
    • Relationships between bending solutions of classical and shear deformation beam theories
    • Reddy J.N., Wang C.M., and Lee K.H. Relationships between bending solutions of classical and shear deformation beam theories. International Journal of Solids and Structures 34 (1997) 3373-3384
    • (1997) International Journal of Solids and Structures , vol.34 , pp. 3373-3384
    • Reddy, J.N.1    Wang, C.M.2    Lee, K.H.3
  • 25
    • 3142646200 scopus 로고
    • Stress oscillations and spurious load mechanisms in variationally inconsistent assumed strain formulations
    • Prathap G., and Naganarayana B.P. Stress oscillations and spurious load mechanisms in variationally inconsistent assumed strain formulations. International Journal for Numerical Methods in Engineering 33 (1992) 2181-2197
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 2181-2197
    • Prathap, G.1    Naganarayana, B.P.2
  • 26
    • 33748086801 scopus 로고    scopus 로고
    • A 2D field-consistent beam element for large displacement analysis using the total Lagrangian formulation
    • Nanakorn P., and Vu L.N. A 2D field-consistent beam element for large displacement analysis using the total Lagrangian formulation. Finite Elements in Analysis and Design 42 14-15 (2006) 1240-1247
    • (2006) Finite Elements in Analysis and Design , vol.42 , Issue.14-15 , pp. 1240-1247
    • Nanakorn, P.1    Vu, L.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.