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Volumn 60, Issue 2, 1996, Pages 197-202

Free vibrations of tapered beams with flexible ends

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; VIBRATIONS (MECHANICAL);

EID: 0030192395     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00397-5     Document Type: Article
Times cited : (65)

References (13)
  • 1
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    • Transverse vibrations of tapered cantilever beams with end loads
    • H. H. Mabie and C. B. Rogers, Transverse vibrations of tapered cantilever beams with end loads. J. Acoust. Soc. Am. 36, 463-469 (1964).
    • (1964) J. Acoust. Soc. Am. , vol.36 , pp. 463-469
    • Mabie, H.H.1    Rogers, C.B.2
  • 2
    • 0009459775 scopus 로고
    • Transverse vibrations of tapered cantilever beams with end support
    • H. H. Mabie and C. B. Rogers, Transverse vibrations of tapered cantilever beams with end support. J. Acoust. Soc. Am. 44, 1739-1741 (1968).
    • (1968) J. Acoust. Soc. Am. , vol.44 , pp. 1739-1741
    • Mabie, H.H.1    Rogers, C.B.2
  • 3
    • 0015340108 scopus 로고
    • Transverse vibrations of double-tapered cantilever beams
    • H. H. Mabie and C. B. Rogers, Transverse vibrations of double-tapered cantilever beams. J. Acoust. Soc. Am. 51, 1771-1774 (1972).
    • (1972) J. Acoust. Soc. Am. , vol.51 , pp. 1771-1774
    • Mabie, H.H.1    Rogers, C.B.2
  • 4
    • 0016061230 scopus 로고
    • Transverse vibrations of double-tapered cantilever beams with end support and with end mass
    • H. H. Mabie and C. B. Rogers, Transverse vibrations of double-tapered cantilever beams with end support and with end mass. J. Acoust. Soc. Am. 55, 986-991 (1974).
    • (1974) J. Acoust. Soc. Am. , vol.55 , pp. 986-991
    • Mabie, H.H.1    Rogers, C.B.2
  • 5
    • 30244461434 scopus 로고
    • Approximate analytical methods for determining natural modes and frequencies of vibration
    • J. N. Siddall and G. Isackson, Approximate analytical methods for determining natural modes and frequencies of vibration. MIT Report ONR Proj. NR-035-259, pp. 141-146 (1951).
    • (1951) MIT Report ONR Proj. NR-035-259 , pp. 141-146
    • Siddall, J.N.1    Isackson, G.2
  • 7
    • 0017301508 scopus 로고
    • Transverse vibrations of tapered beams
    • R. P. Goel, Transverse vibrations of tapered beams. J. Sound Vibr. 47, 1-7 (1976).
    • (1976) J. Sound Vibr. , vol.47 , pp. 1-7
    • Goel, R.P.1
  • 8
    • 0027663321 scopus 로고
    • Transverse vibrations of a linearly tapered cantilever beam with constraining springs
    • W. L. Graver Jr and P. Jampala, Transverse vibrations of a linearly tapered cantilever beam with constraining springs. J. Sound Vibr. 166, 521-529 (1993).
    • (1993) J. Sound Vibr. , vol.166 , pp. 521-529
    • Graver W.L., Jr.1    Jampala, P.2
  • 9
    • 0024169211 scopus 로고
    • On the use of several undertermined exponents in the Rayleigh-Schmidt technique
    • R. O. Grossi and P. Mac Gaul, On the use of several undertermined exponents in the Rayleigh-Schmidt technique. J. Ind. Math. Soc. 38, 163-171 (1988).
    • (1988) J. Ind. Math. Soc. , vol.38 , pp. 163-171
    • Grossi, R.O.1    Mac Gaul, P.2
  • 10
    • 0026154624 scopus 로고
    • A note on vibrating tapered beams
    • R. O. Grossi and R. B. Bhat, A note on vibrating tapered beams. J. Sound Vibr. 147, 174-178 (1991).
    • (1991) J. Sound Vibr. , vol.147 , pp. 174-178
    • Grossi, R.O.1    Bhat, R.B.2
  • 11
    • 0024281271 scopus 로고
    • Vibrations of an elastically restrained, nonuniform beam with translational and rotational springs, and with a tip mass
    • S. I. Alvarez, G. M. Ficcadenti De Iglesias and P. A. A. Laura, Vibrations of an elastically restrained, nonuniform beam with translational and rotational springs, and with a tip mass. J. Sound Vibr. 120, 465-471 (1991).
    • (1991) J. Sound Vibr. , vol.120 , pp. 465-471
    • Alvarez, S.I.1    Ficcadenti De Iglesias, G.M.2    Laura, P.A.A.3
  • 12
    • 0003089152 scopus 로고
    • Vibration of nonuniform simply-supported beams
    • A. C. Heidebrecht, Vibration of nonuniform simply-supported beams. J. Engng Mech. Div. ASCE 93, 1-15 (1967).
    • (1967) J. Engng Mech. Div. ASCE , vol.93 , pp. 1-15
    • Heidebrecht, A.C.1
  • 13
    • 0004235026 scopus 로고
    • Wolfram Research Inc., Champaign, IL
    • S. Wolfram Research Inc., Mathematica, Version 2.2. Wolfram Research Inc., Champaign, IL (1993).
    • (1993) Mathematica, Version 2.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.