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Volumn 304, Issue 3-5, 2007, Pages 530-540

An asymptotic solution to transverse free vibrations of variable-section beams

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FORCE CONTROL; NATURAL FREQUENCIES; VIBRATION CONTROL;

EID: 34248590289     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.02.030     Document Type: Article
Times cited : (80)

References (27)
  • 1
    • 84907179056 scopus 로고    scopus 로고
    • G.K. Ananthasuresh, Inverse mode shape problem for bars and beams with flexible supports, Inverse Problems, Design and Optimization Symposium, Rio de Janeiro, Brazil, 2004.
  • 4
    • 17644423052 scopus 로고    scopus 로고
    • On bending vibrations of some kinds of beams of variable cross-section using orthogonal polynomials
    • Caruntu D.I. On bending vibrations of some kinds of beams of variable cross-section using orthogonal polynomials. Revue Roumaine des Sciences Techniques. Série de Mécanique Appliquée 41 3-4 (1996) 265-272
    • (1996) Revue Roumaine des Sciences Techniques. Série de Mécanique Appliquée , vol.41 , Issue.3-4 , pp. 265-272
    • Caruntu, D.I.1
  • 5
    • 0008770908 scopus 로고    scopus 로고
    • Vibrations of a cantilever tapered beam with varying section properties and carrying a mass at the free end
    • Auciello N.M., and Nole G. Vibrations of a cantilever tapered beam with varying section properties and carrying a mass at the free end. Journal of Sound and Vibration 214 1 (1998) 105-119
    • (1998) Journal of Sound and Vibration , vol.214 , Issue.1 , pp. 105-119
    • Auciello, N.M.1    Nole, G.2
  • 6
    • 0030192395 scopus 로고    scopus 로고
    • Free vibrations of tapered beams with flexible ends
    • De Rosa M.A., and Auciello N.M. Free vibrations of tapered beams with flexible ends. Computers & Structures 60 2 (1996) 197-202
    • (1996) Computers & Structures , vol.60 , Issue.2 , pp. 197-202
    • De Rosa, M.A.1    Auciello, N.M.2
  • 7
    • 0027663321 scopus 로고
    • Transverse vibrations of a linearly tapered cantilever beam with constraining springs
    • Craver Jr. W.L., and Jampala P. Transverse vibrations of a linearly tapered cantilever beam with constraining springs. Journal of Sound and Vibration 166 3 (1993) 521-529
    • (1993) Journal of Sound and Vibration , vol.166 , Issue.3 , pp. 521-529
    • Craver Jr., W.L.1    Jampala, P.2
  • 8
    • 85024573888 scopus 로고
    • Generalized hypergeometric function solutions on the transverse vibrations of a class of non-uniform beams
    • Wang H.C. Generalized hypergeometric function solutions on the transverse vibrations of a class of non-uniform beams. Journal of Applied Mechanics 34E (1967) 702-708
    • (1967) Journal of Applied Mechanics , vol.34 E , pp. 702-708
    • Wang, H.C.1
  • 9
    • 0032684883 scopus 로고    scopus 로고
    • Modelling of transverse vibration of beam of linearly variable depth with edge crack
    • Chaudhari T.D., and Maiti S.K. Modelling of transverse vibration of beam of linearly variable depth with edge crack. Engineering Fracture Mechanics 63 (1999) 425-445
    • (1999) Engineering Fracture Mechanics , vol.63 , pp. 425-445
    • Chaudhari, T.D.1    Maiti, S.K.2
  • 10
    • 0010384878 scopus 로고
    • The vibration of a "complete" Euler-Bernoulli beam of constant depth and breadth proportional to axial coordinate raised to a positive exponents
    • Naguleswaran S. The vibration of a "complete" Euler-Bernoulli beam of constant depth and breadth proportional to axial coordinate raised to a positive exponents. Journal of Sound and Vibration 187 2 (1995) 311-327
    • (1995) Journal of Sound and Vibration , vol.187 , Issue.2 , pp. 311-327
    • Naguleswaran, S.1
  • 11
    • 27344446844 scopus 로고    scopus 로고
    • Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli-Euler beam by differential transform method
    • 10.1016/j.jsv.2005.01.055
    • Özdemir O., and Kaya M.O. Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli-Euler beam by differential transform method. Journal of Sound and Vibration 289 (2006) 413-420 10.1016/j.jsv.2005.01.055
    • (2006) Journal of Sound and Vibration , vol.289 , pp. 413-420
    • Özdemir, O.1    Kaya, M.O.2
  • 12
    • 0000049710 scopus 로고
    • Vibration of non-uniform rods and beams
    • Abrate S. Vibration of non-uniform rods and beams. Journal of Sound and Vibration 185 4 (1995) 703-716
    • (1995) Journal of Sound and Vibration , vol.185 , Issue.4 , pp. 703-716
    • Abrate, S.1
  • 13
    • 33748799435 scopus 로고    scopus 로고
    • Free vibration of rotating tapered beams using the dynamic stiffness method
    • 10.1016/j.jsv.2006.06.040
    • Banerjee J.R., Su H., and Jackson D.R. Free vibration of rotating tapered beams using the dynamic stiffness method. Journal of Sound and Vibration 298 (2006) 1034-1054 10.1016/j.jsv.2006.06.040
    • (2006) Journal of Sound and Vibration , vol.298 , pp. 1034-1054
    • Banerjee, J.R.1    Su, H.2    Jackson, D.R.3
  • 14
    • 0034207375 scopus 로고    scopus 로고
    • Free vibration of centrifugally stiffened uniform and tapered beams using the dynamic stiffness method
    • Banerjee J.R. Free vibration of centrifugally stiffened uniform and tapered beams using the dynamic stiffness method. Journal of Sound and Vibration 233 (2000) 857-875
    • (2000) Journal of Sound and Vibration , vol.233 , pp. 857-875
    • Banerjee, J.R.1
  • 16
    • 0035216334 scopus 로고    scopus 로고
    • On the transverse vibrations of non-uniform beams with axial loads and elastically restrained ends
    • Auciello N.M. On the transverse vibrations of non-uniform beams with axial loads and elastically restrained ends. International Journal of Mechanical Sciences 43 (2001) 193-208
    • (2001) International Journal of Mechanical Sciences , vol.43 , pp. 193-208
    • Auciello, N.M.1
  • 17
    • 0001586849 scopus 로고
    • The fundamental flexural vibration of a cantilever beam of rectangular cross section with uniform taper
    • Rao J.S. The fundamental flexural vibration of a cantilever beam of rectangular cross section with uniform taper. The Aeronautical Quarterly 16 (1965) 139-144
    • (1965) The Aeronautical Quarterly , vol.16 , pp. 139-144
    • Rao, J.S.1
  • 18
    • 0001741124 scopus 로고
    • Natural frequencies of long tapered cantilevers
    • Carnegie W., and Thomas J. Natural frequencies of long tapered cantilevers. The Aeronautical Quarterly 18 (1967) 309-320
    • (1967) The Aeronautical Quarterly , vol.18 , pp. 309-320
    • Carnegie, W.1    Thomas, J.2
  • 19
    • 0036465601 scopus 로고    scopus 로고
    • 3D-beam element with continuous variation of the cross-sectional area
    • Murin J., and Kutis V. 3D-beam element with continuous variation of the cross-sectional area. Computers & Structures 80 (2002) 329-338
    • (2002) Computers & Structures , vol.80 , pp. 329-338
    • Murin, J.1    Kutis, V.2
  • 20
    • 10944268229 scopus 로고    scopus 로고
    • Free vibration analysis of rotating blades with uniform tapers
    • Wang G., and Wereley N.M. Free vibration analysis of rotating blades with uniform tapers. AIAA Journal 42 (2004) 2429-2437
    • (2004) AIAA Journal , vol.42 , pp. 2429-2437
    • Wang, G.1    Wereley, N.M.2
  • 21
    • 0004074709 scopus 로고
    • Academic Press, New York Second ed., A K Peters, Wellesley, MA, 1997
    • Olver F.W.J. Asymptotics and Special Functions (1974), Academic Press, New York Second ed., A K Peters, Wellesley, MA, 1997
    • (1974) Asymptotics and Special Functions
    • Olver, F.W.J.1
  • 22
    • 33750321694 scopus 로고    scopus 로고
    • Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations
    • 10.1016/j.jmaa.2006.01.050
    • Spigler R., and Vianello M. Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations. Journal of Mathematical Analysis and Applications 325 (2007) 69-89 10.1016/j.jmaa.2006.01.050
    • (2007) Journal of Mathematical Analysis and Applications , vol.325 , pp. 69-89
    • Spigler, R.1    Vianello, M.2
  • 23
    • 0037018530 scopus 로고    scopus 로고
    • The linear vibration analysis of marine risers using the WKB-based dynamic stiffness method
    • 10.1006/jsvi.2001.3843
    • Cheng Y., and Vandiver J.K. The linear vibration analysis of marine risers using the WKB-based dynamic stiffness method. Journal of Sound and Vibration 251 4 (2002) 7500760 10.1006/jsvi.2001.3843
    • (2002) Journal of Sound and Vibration , vol.251 , Issue.4 , pp. 7500760
    • Cheng, Y.1    Vandiver, J.K.2
  • 24
    • 0037435452 scopus 로고    scopus 로고
    • Localized families of bending waves in a thin medium-length cylindrical shell under pressure
    • 10.1006/jsvi.2001.4071
    • Mikhasev G.I. Localized families of bending waves in a thin medium-length cylindrical shell under pressure. Journal of Sound and Vibration 253 4 (2002) 833-857 10.1006/jsvi.2001.4071
    • (2002) Journal of Sound and Vibration , vol.253 , Issue.4 , pp. 833-857
    • Mikhasev, G.I.1
  • 25
    • 0035537910 scopus 로고    scopus 로고
    • Wave packets in a thin cylindrical shell under a non-uniform axial load
    • Avdoshka I.V., and Mikhasev G.I. Wave packets in a thin cylindrical shell under a non-uniform axial load. Journal of Applied Mathematics and Mechanics 65 2 (2001) 301-309
    • (2001) Journal of Applied Mathematics and Mechanics , vol.65 , Issue.2 , pp. 301-309
    • Avdoshka, I.V.1    Mikhasev, G.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.