메뉴 건너뛰기




Volumn 46, Issue 6, 2004, Pages 929-944

Three-dimensional vibration analysis of thick, tapered rods and beams with circular cross-section

Author keywords

Ritz method; Tapered beam; Thick beam; Three dimensional analysis; Vibration

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; NATURAL FREQUENCIES; POLYNOMIALS; PROBLEM SOLVING; THICKNESS MEASUREMENT; VIBRATION MEASUREMENT;

EID: 3943063586     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2004.05.005     Document Type: Article
Times cited : (14)

References (23)
  • 1
    • 84941404603 scopus 로고
    • Über die Fortpflanzungsgeschwingdigkeiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiszylinder
    • Pochhammer L. Über die Fortpflanzungsgeschwingdigkeiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiszylinder. Journal für die Reine und Angewandte Mathematik. 81:1876;324-326.
    • (1876) Journal für die Reine und Angewandte Mathematik , vol.81 , pp. 324-326
    • Pochhammer, L.1
  • 3
    • 0001298228 scopus 로고
    • The equations of an isotropic elastic solid in polar and cylindrical coordinates, their solutions and application
    • Chree C. The equations of an isotropic elastic solid in polar and cylindrical coordinates, their solutions and application. Transactions of the Cambridge Philosophical Society Mathematics and Physical Science. 14:1889;250-269.
    • (1889) Transactions of the Cambridge Philosophical Society Mathematics and Physical Science , vol.14 , pp. 250-269
    • Chree, C.1
  • 4
    • 0000431836 scopus 로고
    • Flexural vibration of unrestrained cylinders and disks
    • Pickett G. Flexural vibration of unrestrained cylinders and disks. Journal of Applied Physics. 16:1935;820-831.
    • (1935) Journal of Applied Physics , vol.16 , pp. 820-831
    • Pickett, G.1
  • 6
    • 0041354334 scopus 로고
    • Experimental study of the vibrations of solid, isotropic, elastic cylinders
    • McMahon G.W. Experimental study of the vibrations of solid, isotropic, elastic cylinders. Journal of Acoustical Society of America. 36:1964;85-92.
    • (1964) Journal of Acoustical Society of America , vol.36 , pp. 85-92
    • McMahon, G.W.1
  • 7
    • 0000102967 scopus 로고
    • Finite difference analysis of the vibrations of solid cylinders
    • McMahon G.W. Finite difference analysis of the vibrations of solid cylinders. Journal of Acoustical Society of America. 48:1970;307-312.
    • (1970) Journal of Acoustical Society of America , vol.48 , pp. 307-312
    • McMahon, G.W.1
  • 8
    • 3943050200 scopus 로고
    • Numerical solution of the frequency equations for the flexural vibrations of cylindrical rods
    • Tefft W.E. Numerical solution of the frequency equations for the flexural vibrations of cylindrical rods. Journal of Research. (NBS) 64B:1969;237-242.
    • (1969) Journal of Research , vol.64 B , Issue.NBS , pp. 237-242
    • Tefft, W.E.1
  • 9
    • 0000605735 scopus 로고
    • Natural frequencies of finite circular cylinders in axially symmetric longitudinal vibration
    • Rumerman M., Raynor S. Natural frequencies of finite circular cylinders in axially symmetric longitudinal vibration. Journal of Sound and Vibrations. 15:1971;529-543.
    • (1971) Journal of Sound and Vibrations , vol.15 , pp. 529-543
    • Rumerman, M.1    Raynor, S.2
  • 10
    • 0039650654 scopus 로고
    • Finite element analysis of the axisymmetric vibrations of cylinders
    • Gladwell G.M.L., Tahbildar U.C. Finite element analysis of the axisymmetric vibrations of cylinders. Journal of Sound and Vibrations. 22:1972;143-157.
    • (1972) Journal of Sound and Vibrations , vol.22 , pp. 143-157
    • Gladwell, G.M.L.1    Tahbildar, U.C.2
  • 13
    • 0019707690 scopus 로고
    • Transverse vibrations of beams, exact versus approximate solutions
    • Hutchinson J.R. Transverse vibrations of beams, exact versus approximate solutions. Journal of Applied Mechanics. 48:1981;923-928.
    • (1981) Journal of Applied Mechanics , vol.48 , pp. 923-928
    • Hutchinson, J.R.1
  • 14
    • 0016846360 scopus 로고
    • Natural frequencies of free finite length circular cylinders
    • Gladwell G.M.L., Vijay D.K. Natural frequencies of free finite length circular cylinders. Journal of Sound and Vibrations. 42:1975;387-397.
    • (1975) Journal of Sound and Vibrations , vol.42 , pp. 387-397
    • Gladwell, G.M.L.1    Vijay, D.K.2
  • 15
    • 0029135230 scopus 로고
    • Comparisons of vibration frequencies for rods and beams from one-dimensional and three-dimensional analyses
    • Leissa A.W., So J. Comparisons of vibration frequencies for rods and beams from one-dimensional and three-dimensional analyses. Journal of Acoustical Society of America. 98(4):1995;2122-2135.
    • (1995) Journal of Acoustical Society of America , vol.98 , Issue.4 , pp. 2122-2135
    • Leissa, A.W.1    So, J.2
  • 16
    • 0029130618 scopus 로고
    • Accurate vibration frequencies of circular cylinders from three-dimensional analysis
    • Leissa A.W., So J. Accurate vibration frequencies of circular cylinders from three-dimensional analysis. Journal of Acoustical Society of America. 98(4):1995;2136-2141.
    • (1995) Journal of Acoustical Society of America , vol.98 , Issue.4 , pp. 2136-2141
    • Leissa, A.W.1    So, J.2
  • 19
    • 0343262489 scopus 로고
    • Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik
    • Ritz W. Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik. Journal für die Reine und Angewandte Mathematik. 135:1909;1-61.
    • (1909) Journal für die Reine und Angewandte Mathematik , vol.135 , pp. 1-61
    • Ritz, W.1
  • 20
    • 0030192395 scopus 로고    scopus 로고
    • Free vibrations of tapered beams with flexible ends
    • De Rosa M.A., Auciello N.M. Free vibrations of tapered beams with flexible ends. Computers and Structures. 60(2):1996;197-202.
    • (1996) Computers and Structures , vol.60 , Issue.2 , pp. 197-202
    • De Rosa, M.A.1    Auciello, N.M.2
  • 22
    • 0025800670 scopus 로고
    • Three-dimensional free vibrations of thick, skewed cantilevered plates
    • McGee O.G., Leissa A.W. Three-dimensional free vibrations of thick, skewed cantilevered plates. Journal of Sound and Vibrations. 144:1991;305-322.
    • (1991) Journal of Sound and Vibrations , vol.144 , pp. 305-322
    • McGee, O.G.1    Leissa, A.W.2
  • 23
    • 2442710533 scopus 로고    scopus 로고
    • Three-dimensional vibrations of solid cones with and without an axial circular cylindrical hole
    • Kang J.H., Leissa A.W. Three-dimensional vibrations of solid cones with and without an axial circular cylindrical hole. International Journal of Solids Structure. 41:2004;3735-3746.
    • (2004) International Journal of Solids Structure , vol.41 , pp. 3735-3746
    • Kang, J.H.1    Leissa, A.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.