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Volumn 60, Issue 3, 2004, Pages 695-718

Free vibrations of solid and hollow wedge beams with rectangular or circular cross-sections and carrying any number of point masses

Author keywords

Bare beam; Double tapered wedge beam; Loading beam; Mode shapes; Natural frequency; Taper ratio

Indexed keywords

BESSEL FUNCTIONS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; NATURAL FREQUENCIES; VIBRATIONS (MECHANICAL);

EID: 2542436255     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.981     Document Type: Article
Times cited : (20)

References (38)
  • 1
    • 85143390546 scopus 로고
    • Bending vibration of variable section beams
    • ASME
    • Cranch ET, Adler AA. Bending vibration of variable section beams. Journal of Applied Mechanics (ASME) 1956: 23(1):103-108.
    • (1956) Journal of Applied Mechanics , vol.23 , Issue.1 , pp. 103-108
    • Cranch, E.T.1    Adler, A.A.2
  • 2
    • 85024586927 scopus 로고
    • Vibration frequencies of truncated-cone and wedge beams
    • ASME
    • Conway HD, Dubil JF. Vibration frequencies of truncated-cone and wedge beams. Journal of Applied Mechanics (ASME) 1965; 32(4):932-934.
    • (1965) Journal of Applied Mechanics , vol.32 , Issue.4 , pp. 932-934
    • Conway, H.D.1    Dubil, J.F.2
  • 3
    • 0017301508 scopus 로고
    • Transverse vibration of tapered beams
    • Goel RP. Transverse vibration of tapered beams. Journal of Sound and Vibration 1976: 47(1):1-7.
    • (1976) Journal of Sound and Vibration , vol.47 , Issue.1 , pp. 1-7
    • Goel, R.P.1
  • 4
    • 0013444237 scopus 로고
    • Vibration of linearly tapered cantilever beams
    • Proceedings of the American Society of Civil Engineers
    • Housner GW, Keightley WO. Vibration of linearly tapered cantilever beams. Journal of the Engineering Mechanics Division, Proceedings of the American Society of Civil Engineers 1962; 88(EM2):95-123.
    • (1962) Journal of the Engineering Mechanics Division , vol.88 , Issue.EM2 , pp. 95-123
    • Housner, G.W.1    Keightley, W.O.2
  • 5
    • 0003089152 scopus 로고
    • Vibration of non-uniform simply-supported beams
    • Proceedings of the American Society of Civil Engineers
    • Heidebrecht AC. Vibration of non-uniform simply-supported beams. Journal of the Engineering Mechanics Division, Proceedings of the American Society of Civil Engineers 1967: 93(EM2):1-15.
    • (1967) Journal of the Engineering Mechanics Division , vol.93 , Issue.EM2 , pp. 1-15
    • Heidebrecht, A.C.1
  • 7
    • 10644267236 scopus 로고
    • Transverse vibration of cantilever beams having unequal breadth and depth tapers
    • ASME
    • Downs B. Transverse vibration of cantilever beams having unequal breadth and depth tapers. Journal of Applied Mechanics (ASME) 1977: 44(4):737-742.
    • (1977) Journal of Applied Mechanics , vol.44 , Issue.4 , pp. 737-742
    • Downs, B.1
  • 8
    • 0017937039 scopus 로고
    • Direct analytical solution to non-uniform beam problems
    • Bailey CD. Direct analytical solution to non-uniform beam problems. Journal of Sound and Vibration 1978: 56(4):501-507.
    • (1978) Journal of Sound and Vibration , vol.56 , Issue.4 , pp. 501-507
    • Bailey, C.D.1
  • 10
    • 0026834789 scopus 로고
    • Vibration of an Euler-Bernoulli beam of constant depth and with linearly varying breadth
    • Naguleswaran S. Vibration of an Euler-Bernoulli beam of constant depth and with linearly varying breadth. Journal of Sound and Vibration 1992; 153(3):509-522.
    • (1992) Journal of Sound and Vibration , vol.153 , Issue.3 , pp. 509-522
    • Naguleswaran, S.1
  • 11
    • 0028765194 scopus 로고
    • A direct solution for the transverse vibration of Euler-Bernoulli wedge and cone beams
    • Naguleswaran S. A direct solution for the transverse vibration of Euler-Bernoulli wedge and cone beams. Journal of Sound and Vibration 1994: 172(3):289-304.
    • (1994) Journal of Sound and Vibration , vol.172 , Issue.3 , pp. 289-304
    • Naguleswaran, S.1
  • 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 1995; 185(4):703-716.
    • (1995) Journal of Sound and Vibration , vol.185 , Issue.4 , pp. 703-716
    • Abrate, S.1
  • 13
    • 0029768368 scopus 로고    scopus 로고
    • Free vibration of beams of bilinearly varying thickness
    • Laura PAA, Gutierrez RH. Rossi RE. Free vibration of beams of bilinearly varying thickness. Ocean Engineering 1996; 23(1):1-6.
    • (1996) Ocean Engineering , vol.23 , Issue.1 , pp. 1-6
    • Laura, P.A.A.1    Gutierrez, R.H.2    Rossi, R.E.3
  • 14
    • 0043133417 scopus 로고    scopus 로고
    • An analysis of free undamped vibration of beams of varying cross-section
    • Datta AK, Sil SN. An analysis of free undamped vibration of beams of varying cross-section. Computers and Structures 1996; 59(3):479-483.
    • (1996) Computers and Structures , vol.59 , Issue.3 , pp. 479-483
    • Datta, A.K.1    Sil, S.N.2
  • 17
    • 0016061230 scopus 로고
    • Transverse vibration of double-tapered cantilever beams with end support and with end mass
    • Mabie HH, Rogers CH. Transverse vibration of double-tapered cantilever beams with end support and with end mass. The Journal of the Acoustical Society of America 1974; 55(5):986-991.
    • (1974) The Journal of the Acoustical Society of America , vol.55 , Issue.5 , pp. 986-991
    • Mabie, H.H.1    Rogers, C.H.2
  • 18
    • 0016961759 scopus 로고
    • Transverse vibration of a tapered beam carrying a concentrated mass
    • ASME
    • Lee TW. Transverse vibration of a tapered beam carrying a concentrated mass. Journal of Applied Mechanics (ASME) 1976; 43(2):366-367.
    • (1976) Journal of Applied Mechanics , vol.43 , Issue.2 , pp. 366-367
    • Lee, T.W.1
  • 19
    • 0027911603 scopus 로고
    • Vibration of tapered beams with one end spring hinged and the other end with tip mass
    • Grossi RO, Aranda A. Vibration of tapered beams with one end spring hinged and the other end with tip mass. Journal of Sound and Vibration 1993; 160(1):175-178.
    • (1993) Journal of Sound and Vibration , vol.160 , Issue.1 , pp. 175-178
    • Grossi, R.O.1    Aranda, A.2
  • 20
    • 0030568638 scopus 로고    scopus 로고
    • Transverse vibration of a linearly tapered cantilever beam with tip mass of rotatory, inertia and eccentricity
    • Auciello NM. Transverse vibration of a linearly tapered cantilever beam with tip mass of rotatory, inertia and eccentricity. Journal of Sound and Vibration 1996; 194(1):25-34.
    • (1996) Journal of Sound and Vibration , vol.194 , Issue.1 , pp. 25-34
    • Auciello, N.M.1
  • 21
    • 0030192395 scopus 로고    scopus 로고
    • Free vibration of tapered beams with flexible ends
    • De Rosa MA, Auciello NM. Free vibration of tapered beams with flexible ends. Computers and Structures 1996; 60(2):197-202.
    • (1996) Computers and Structures , vol.60 , Issue.2 , pp. 197-202
    • De Rosa, M.A.1    Auciello, N.M.2
  • 22
    • 0008770908 scopus 로고    scopus 로고
    • Vibration of a cantilever tapered beam with varying section properties and carrying a mass at the free end
    • Auciello NM, Nole G. Vibration of a cantilever tapered beam with varying section properties and carrying a mass at the free end. Journal of Sound and Vibration 1998: 214(1):105-119.
    • (1998) Journal of Sound and Vibration , vol.214 , Issue.1 , pp. 105-119
    • Auciello, N.M.1    Nole, G.2
  • 23
    • 0027663321 scopus 로고
    • Transverse vibration of a linearly tapered cantilever beam with constraining springs
    • Craver Jr. WL. Jampala P. Transverse vibration of a linearly tapered cantilever beam with constraining springs. Journal of Sound and Vibration 1993; 166(3):521-526.
    • (1993) Journal of Sound and Vibration , vol.166 , Issue.3 , pp. 521-526
    • Craver Jr., W.L.1    Jampala, P.2
  • 24
    • 0026939866 scopus 로고
    • A method for vibration analysis of a tapered Timoshenko beam with constraint at any points and carrying a heavy tip body
    • Matsuda H. Morita C, Sakiyama T. A method for vibration analysis of a tapered Timoshenko beam with constraint at any points and carrying a heavy tip body. Journal of Sound und Vibration 1992: 158(2): 331-339.
    • (1992) Journal of Sound und Vibration , vol.158 , Issue.2 , pp. 331-339
    • Matsuda, H.1    Morita, C.2    Sakiyama, T.3
  • 25
    • 0030736536 scopus 로고    scopus 로고
    • On the natural vibration of tapered beans with attached inertia elements
    • Auciello NM. Maurizi MJ. On the natural vibration of tapered beans with attached inertia elements. Journal of Sound and Vibration 1997: 199(3):522-530.
    • (1997) Journal of Sound and Vibration , vol.199 , Issue.3 , pp. 522-530
    • Auciello, N.M.1    Maurizi, M.J.2
  • 26
    • 0001419033 scopus 로고    scopus 로고
    • Free vibration analysis of a non-uniform beam with multiple point masses
    • Wu JS, Hsieh M. Free vibration analysis of a non-uniform beam with multiple point masses. Structural Engineering and Mechanics 2000: 9(5):449-467.
    • (2000) Structural Engineering and Mechanics , vol.9 , Issue.5 , pp. 449-467
    • Wu, J.S.1    Hsieh, M.2
  • 27
    • 0039151136 scopus 로고
    • Vibration of non-uniform beams
    • Lindberg GM. Vibration of non-uniform beams. Aeronautical Quarterly 1963: 14:387-395.
    • (1963) Aeronautical Quarterly , vol.14 , pp. 387-395
    • Lindberg, G.M.1
  • 28
    • 0018784532 scopus 로고
    • Higher order tapered beam finite elements for vibration analysis
    • To CWS. Higher order tapered beam finite elements for vibration analysis. Journal of Sound and Vibration 1979; 63(1):33-50.
    • (1979) Journal of Sound and Vibration , vol.63 , Issue.1 , pp. 33-50
    • To, C.W.S.1
  • 31
    • 0000703618 scopus 로고
    • Transverse vibration of a class of non-uniform beams
    • Sanger DJ. Transverse vibration of a class of non-uniform beams. Journal of Mechanical Engineering Science 1968: 10(2):111-120.
    • (1968) Journal of Mechanical Engineering Science , vol.10 , Issue.2 , pp. 111-120
    • Sanger, D.J.1
  • 37
    • 0025254751 scopus 로고
    • Free vibration analysis of a uniform cantilever beam with point masses by an analytical-and-numerical-combined method
    • Wu JS. Lin TL. Free vibration analysis of a uniform cantilever beam with point masses by an analytical-and-numerical-combined method. Journal of Sound and Vibration 1990: 136(2):201-213.
    • (1990) Journal of Sound and Vibration , vol.136 , Issue.2 , pp. 201-213
    • Wu, J.S.1    Lin, T.L.2
  • 38
    • 84989491888 scopus 로고
    • Free and forced vibrations of a Timoshenko beam with any number of translational and rotational springs and lumped masses
    • Wu JS. Huang CG. Free and forced vibrations of a Timoshenko beam with any number of translational and rotational springs and lumped masses. Communications in Numerical Methods in Engineering 1995: 11:743-756.
    • (1995) Communications in Numerical Methods in Engineering , vol.11 , pp. 743-756
    • Wu, J.S.1    Huang, C.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.