메뉴 건너뛰기




Volumn 16, Issue 2, 2003, Pages 153-176

The exact solutions for the natural frequencies and mode shapes of non-uniform beams carrying multiple various concentrated elements

Author keywords

Bare beam; Constrained beam; Eigen function; Mode shapes; Natural frequencies; Non uniform beam

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTEGRATION; NATURAL FREQUENCIES; SPRINGS (COMPONENTS); WAVE EQUATIONS;

EID: 0037780432     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2003.16.2.153     Document Type: Article
Times cited : (13)

References (20)
  • 2
    • 0030192395 scopus 로고    scopus 로고
    • Free vibrations of tapered beams with flexible ends
    • De Rosa, M.A. and Auciello, N.M. (1996), "Free vibrations of tapered beams with flexible ends", Comput. Struct., 60(2), 197-202.
    • (1996) Comput. Struct. , vol.60 , Issue.2 , pp. 197-202
    • De Rosa, M.A.1    Auciello, N.M.2
  • 5
    • 0021505251 scopus 로고
    • A note on the vibrations of restrained beam and rods with point masses
    • Gurgoze, M. (1984), "A note on the vibrations of restrained beam and rods with point masses", J. Sound Vib., 96, 461-468.
    • (1984) J. Sound Vib. , vol.96 , pp. 461-468
    • Gurgoze, M.1
  • 6
    • 0032179916 scopus 로고    scopus 로고
    • On the alternative formulations of the frequency equations of a Bernoulli-Euler beam to which several spring-mass systems are attached inspan
    • Gurgoze, M. (1998), "On the alternative formulations of the frequency equations of a Bernoulli-Euler beam to which several spring-mass systems are attached inspan", J. Sound Vib., 217(3), 585-595.
    • (1998) J. Sound Vib. , vol.217 , Issue.3 , pp. 585-595
    • Gurgoze, M.1
  • 7
    • 0026241281 scopus 로고
    • Free and forced vibrations of a restrained uniform beam carrying an intermediate lumped mass and a rotary, inertia
    • Hamdan, M.N. and Jubran, B.A. (1991) "Free and forced vibrations of a restrained uniform beam carrying an intermediate lumped mass and a rotary, inertia", J. Sound Vib., 150(2), 203-216.
    • (1991) J. Sound Vib. , vol.150 , Issue.2 , pp. 203-216
    • Hamdan, M.N.1    Jubran, B.A.2
  • 9
    • 0016542605 scopus 로고
    • A note on the dynamic analysis of an elastically restrained-free beam with a mass at the free end
    • Laura, P.A.A., Maurizi, M.J. and Pombo, J.L. (1975), "A note on the dynamic analysis of an elastically restrained-free beam with a mass at the free end", J. Sound Vib., 41, 397-405.
    • (1975) J. Sound Vib. , vol.41 , pp. 397-405
    • Laura, P.A.A.1    Maurizi, M.J.2    Pombo, J.L.3
  • 10
    • 0017484097 scopus 로고
    • On the dynamic behavior of structural elements carrying elastically mounted concentrated masses
    • Laura, P.A.A., Susemihl, E.A., Pombo, J.L., Luisoni, L.E. and Gelos, R. (1977), "On the dynamic behavior of structural elements carrying elastically mounted concentrated masses", Applied Acoustic, 10, 121-145.
    • (1977) Applied Acoustic , vol.10 , pp. 121-145
    • Laura, P.A.A.1    Susemihl, E.A.2    Pombo, J.L.3    Luisoni, L.E.4    Gelos, R.5
  • 11
    • 0013456921 scopus 로고
    • Vibration of beams and plates carrying concentrated masses
    • Laura, P.A.A., Filipich, C.P. and Cortinez, V.H. (1987), "Vibration of beams and plates carrying concentrated masses", J. Sound Vib., 112, 177-182.
    • (1987) J. Sound Vib. , vol.112 , pp. 177-182
    • Laura, P.A.A.1    Filipich, C.P.2    Cortinez, V.H.3
  • 12
    • 0016961759 scopus 로고
    • Transverse vibrations of a tapered beam carrying a concentrated mass
    • Transactions of ASME
    • Lee, T.W. (1976), "Transverse vibrations of a tapered beam carrying a concentrated mass", J. Appl. Mech., Transactions of ASME, 43(2), 366-367.
    • (1976) J. Appl. Mech. , vol.43 , Issue.2 , pp. 366-367
    • Lee, T.W.1
  • 13
    • 0037007770 scopus 로고    scopus 로고
    • Free vibration analysis of non-uniform beams with an arbitrary number of cracks and concentrated masses
    • Li, Q.S. (2002), "Free vibration analysis of non-uniform beams with an arbitrary number of cracks and concentrated masses", J. Sound Vib., 252(3), 509-525.
    • (2002) J. Sound Vib. , vol.252 , Issue.3 , pp. 509-525
    • Li, Q.S.1
  • 14
    • 0036536823 scopus 로고    scopus 로고
    • Vibratory characteristics of flexural non-uniform Euler-Bernoulli beams carrying an arbitrary number of spring-mass systems
    • Qiao, H., Li, Q.S. and Li, G.Q. (2002), "Vibratory characteristics of flexural non-uniform Euler-Bernoulli beams carrying an arbitrary number of spring-mass systems", Int. J. Mech. Sci., 44, 725-743.
    • (2002) Int. J. Mech. Sci. , vol.44 , pp. 725-743
    • Qiao, H.1    Li, Q.S.2    Li, G.Q.3
  • 15
    • 0027912122 scopus 로고
    • Free vibration of Timoshenko beams carrying elastically mounted
    • Rossi, R.E., Laura, P.A.A., Avalos, D.R. and Larrondo, H. (1993), "Free vibration of Timoshenko beams carrying elastically mounted", J. Sound Vib., 165(2), 209-223.
    • (1993) J. Sound Vib. , vol.165 , Issue.2 , pp. 209-223
    • Rossi, R.E.1    Laura, P.A.A.2    Avalos, D.R.3    Larrondo, H.4
  • 16
    • 0016556910 scopus 로고
    • Vibrations frequencies of a tapered beam with one end and spring-hinged and carrying a mass at the other free end
    • Transactions of ASME
    • Sankaran, G.V., Raju, K. Kanaka and Rao, G. Venkatesware (1975), "Vibrations frequencies of a tapered beam with one end and spring-hinged and carrying a mass at the other free end", J. Appl. Mech., Transactions of ASME, 42(3), 740-741.
    • (1975) J. Appl. Mech. , vol.42 , Issue.3 , pp. 740-741
    • Sankaran, G.V.1    Raju, K.K.2    Venkatesware, R.G.3
  • 17
    • 0025254751 scopus 로고
    • Free vibration analysis of a uniform cantilever beam with point masses by an analytical-and-numerical-combined method
    • Wu, J.S. and Lin, T.L. (1990), "Free vibration analysis of a uniform cantilever beam with point masses by an analytical-and-numerical-combined method", J. Sound Vib., 136, 201-213.
    • (1990) J. Sound Vib. , vol.136 , pp. 201-213
    • Wu, J.S.1    Lin, T.L.2
  • 18
    • 0000841871 scopus 로고    scopus 로고
    • Free vibration analysis of a cantilever beam carrying any number of elastically mounted point masses with the analytical-and-numerical-combined method
    • Wu, J.S. and Chou, H.M. (1998), "Free vibration analysis of a cantilever beam carrying any number of elastically mounted point masses with the analytical-and-numerical-combined method", J. Sound Vib., 213(2), 317-332.
    • (1998) J. Sound Vib. , vol.213 , Issue.2 , pp. 317-332
    • Wu, J.S.1    Chou, H.M.2
  • 19
    • 0035916187 scopus 로고    scopus 로고
    • Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems by using the numerical assembly technique
    • Wu, J.S. and Chen, D.W. (2001), "Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems by using the numerical assembly technique", Int. J. Num. Meth. Eng., 50, 1039-1058.
    • (2001) Int. J. Num. Meth. Eng. , vol.50 , pp. 1039-1058
    • Wu, J.S.1    Chen, D.W.2
  • 20
    • 0001640702 scopus 로고    scopus 로고
    • A new approach for determining the natural frequencies and mode shapes of a uniform beam carrying any number of sprung masses
    • Wu, J.S. and Chou, H.M. (1999), "A new approach for determining the natural frequencies and mode shapes of a uniform beam carrying any number of sprung masses", J. Sound Vib., 220(3), 451-468.
    • (1999) J. Sound Vib. , vol.220 , Issue.3 , pp. 451-468
    • Wu, J.S.1    Chou, H.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.