메뉴 건너뛰기




Volumn 217, Issue 7, 2010, Pages 3429-3441

Free vibration analysis of stepped beams by using Adomian decomposition method

Author keywords

Adomian decomposition method; Mode shape; Natural frequency; Stepped beam; Vibration analysis

Indexed keywords

ADOMIAN DECOMPOSITION METHOD; ADOMIAN DECOMPOSITION METHODS; CONTINUITY CONDITIONS; DIFFERENT BOUNDARY CONDITION; EULER BERNOULLI BEAMS; FREE VIBRATION; FREE-VIBRATION ANALYSIS; MODE SHAPES; STEPPED BEAMS;

EID: 78049242493     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.09.010     Document Type: Article
Times cited : (63)

References (15)
  • 1
    • 0024639713 scopus 로고
    • Free vibration of stepped beams: Exact and numerical solutions
    • S.K. Jang, and C.W. Bert Free vibration of stepped beams: Exact and numerical solutions Journal of Sound and Vibration 130 2 1989 342 346
    • (1989) Journal of Sound and Vibration , vol.130 , Issue.2 , pp. 342-346
    • Jang, S.K.1    Bert, C.W.2
  • 2
    • 0024964893 scopus 로고
    • Free vibration of stepped beams: Higher mode frequencies and effects of steps on frequency
    • S.K. Jang, and C.W. Bert Free vibration of stepped beams: higher mode frequencies and effects of steps on frequency Journal of Sound and Vibration 132 1 1989 164 168
    • (1989) Journal of Sound and Vibration , vol.132 , Issue.1 , pp. 164-168
    • Jang, S.K.1    Bert, C.W.2
  • 3
    • 0030107262 scopus 로고    scopus 로고
    • Free vibrations of a complex Euler-Bernoulli beam
    • N. Popplewell, and D. Chang Free vibrations of a complex Euler-Bernoulli beam Journal of Sound and Vibration 190 5 1996 852 856
    • (1996) Journal of Sound and Vibration , vol.190 , Issue.5 , pp. 852-856
    • Popplewell, N.1    Chang, D.2
  • 4
    • 0035921876 scopus 로고    scopus 로고
    • Vibration analysis of beams using the generalized differential quadrature rule and domain decomposition
    • G.R. Liu, and T.Y. Wu Vibration analysis of beams using the generalized differential quadrature rule and domain decomposition Journal of Sound and Vibration 246 3 2001 461 481
    • (2001) Journal of Sound and Vibration , vol.246 , Issue.3 , pp. 461-481
    • Liu, G.R.1    Wu, T.Y.2
  • 5
    • 0037046696 scopus 로고    scopus 로고
    • Natural frequencies, sensitivity and mode shape details of an Euler-Bernoulli beam with one-step change in cross-section and with ends on classical supports
    • S. Naguleswaran Natural frequencies, sensitivity and mode shape details of an Euler-Bernoulli beam with one-step change in cross-section and with ends on classical supports Journal of Sound and Vibration 252 4 2002 751 767
    • (2002) Journal of Sound and Vibration , vol.252 , Issue.4 , pp. 751-767
    • Naguleswaran, S.1
  • 6
    • 0036992628 scopus 로고    scopus 로고
    • Vibration of an Euler-Bernoulli beam on elastic end supports and with up to three step changes in cross-section
    • S. Naguleswaran Vibration of an Euler-Bernoulli beam on elastic end supports and with up to three step changes in cross-section International Journal of Mechanical Sciences 44 12 2002 2541 2555
    • (2002) International Journal of Mechanical Sciences , vol.44 , Issue.12 , pp. 2541-2555
    • Naguleswaran, S.1
  • 7
    • 43049142188 scopus 로고    scopus 로고
    • Orthogonality condition for a multi-span beam, and its application to transient vibration of a two-span beam
    • Y. Mikata Orthogonality condition for a multi-span beam, and its application to transient vibration of a two-span beam Journal of Sound and Vibration 314 2008 851 866
    • (2008) Journal of Sound and Vibration , vol.314 , pp. 851-866
    • Mikata, Y.1
  • 8
    • 1642603029 scopus 로고    scopus 로고
    • Vibration of an Euler-Bernoulli stepped beam carrying a non-symmetrical rigid body at the step
    • S. Naguleswaran Vibration of an Euler-Bernoulli stepped beam carrying a non-symmetrical rigid body at the step Journal of Sound and Vibration 271 3-5 2004 1121 1132
    • (2004) Journal of Sound and Vibration , vol.271 , Issue.35 , pp. 1121-1132
    • Naguleswaran, S.1
  • 10
    • 0035949870 scopus 로고    scopus 로고
    • Analytic treatment for variable coefficient fourth-order parabolic partial differential equations
    • A.M. Wazwaz Analytic treatment for variable coefficient fourth-order parabolic partial differential equations Applied Mathematics and Computation 123 2001 219 227
    • (2001) Applied Mathematics and Computation , vol.123 , pp. 219-227
    • Wazwaz, A.M.1
  • 11
    • 33746874440 scopus 로고    scopus 로고
    • An exact solution for variable coefficients fourth-order wave equation using the Adomian method
    • H. Haddadpour An exact solution for variable coefficients fourth-order wave equation using the Adomian method Mathematical and Computer Modelling 44 2006 1144 1152
    • (2006) Mathematical and Computer Modelling , vol.44 , pp. 1144-1152
    • Haddadpour, H.1
  • 12
    • 55649112046 scopus 로고    scopus 로고
    • An innovative eigenvalue problem solver for free vibration of Euler-Bernoulli beam by using the Adomian decomposition method
    • H.Y. Lai, J.C. Hsu, and C.K. Chen An innovative eigenvalue problem solver for free vibration of Euler-Bernoulli beam by using the Adomian decomposition method Computers and Mathematics with Applications 56 12 2008 3204 3220
    • (2008) Computers and Mathematics with Applications , vol.56 , Issue.12 , pp. 3204-3220
    • Lai, H.Y.1    Hsu, J.C.2    Chen, C.K.3
  • 13
    • 55349096450 scopus 로고    scopus 로고
    • Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method
    • J.C. Hsu, H.Y. Lai, and C.K. Chen Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method Journal of Sound and Vibration 318 2008 965 981
    • (2008) Journal of Sound and Vibration , vol.318 , pp. 965-981
    • Hsu, J.C.1    Lai, H.Y.2    Chen, C.K.3
  • 14
    • 58649119617 scopus 로고    scopus 로고
    • A numerical solution of the vibration equation using modified decomposition method
    • S. Das A numerical solution of the vibration equation using modified decomposition method Journal of Sound and Vibration 320 2009 576 583
    • (2009) Journal of Sound and Vibration , vol.320 , pp. 576-583
    • Das, S.1
  • 15
    • 75749091360 scopus 로고    scopus 로고
    • Design of shaped piezoelectric modal sensor for beam with arbitrary boundary conditions by using Adomian decomposition method
    • 10.1016/j.jsv.2009.12.016
    • Q. Mao, and S. Pietrzko Design of shaped piezoelectric modal sensor for beam with arbitrary boundary conditions by using Adomian decomposition method Journal of Sound and Vibration 2010 10.1016/j.jsv.2009.12.016
    • (2010) Journal of Sound and Vibration
    • Mao, Q.1    Pietrzko, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.