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Volumn 40, Issue 1, 1973, Pages 121-126

Nonlinear vibrations of a hinged beam including nonlinear inertia effects

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - DIFFERENTIAL EQUATIONS; VIBRATIONS;

EID: 0015603779     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3422909     Document Type: Article
Times cited : (74)

References (16)
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    • A Perturbation Analysis of Nonlinear Free Flexural Vibrations of a Circular Cylindrical Shell
    • to be published
    • Atluri, S., “A Perturbation Analysis of Nonlinear Free Flexural Vibrations of a Circular Cylindrical Shell,” The International Journal of Solids and Structures, to be published.
    • The International Journal of Solids and Structures
    • Atluri, S.1
  • 2
    • 85024652149 scopus 로고    scopus 로고
    • paper presented at the Fall Regional Meeting of the Society for Industrial and Applied Mathematics (SIAM), November 13, 1971, Ellensburg, Wash
    • Atluri, S., “Nonlinear Free Oscillations of Shells,“paper presented at the Fall Regional Meeting of the Society for Industrial and Applied Mathematics (SIAM), November 13, 1971, Ellensburg, Wash.
    • Nonlinear Free Oscillations of Shells
    • Atluri, S.1
  • 4
    • 0347868521 scopus 로고
    • On the Nonlinear Vibrations of Elastic Bars
    • Eringen, A. C, “On the Nonlinear Vibrations of Elastic Bars,” Quarterly of Applied Mathematics, Vol. 9, 1952, p. 361.
    • (1952) Quarterly of Applied Mathematics , vol.9 , pp. 361
    • Eringen, A.C.1
  • 5
    • 85137266922 scopus 로고
    • The Effect of Axial Force on the Vibration of Hinged Bars
    • TRANS. ASME
    • Winowsky-Krieger, S., “The Effect of Axial Force on the Vibration of Hinged Bars,” JOURNAL OF APPLIED MECHANICS, Vol. 17, TRANS. ASME, Vol. 72, 1950, p. 35.
    • (1950) JOURNAL OF APPLIED MECHANICS , vol.17-72 , pp. 35
    • Winowsky-Krieger, S.1
  • 6
    • 85143396345 scopus 로고
    • Nonlinear Dynamic Coupling in a Beam Vibration
    • TRANS, ASME, Dec
    • MacDonald, P. H., “Nonlinear Dynamic Coupling in a Beam Vibration,” JOURNAL OF APPLIED MECHANICS, Vol. 22, TRANS, ASME, Vol. 77, Dec. 1955, pp. 573-578.
    • (1955) JOURNAL OF APPLIED MECHANICS , vol.22-77 , pp. 573-578
    • MacDonald, P.H.1
  • 7
    • 85137275388 scopus 로고
    • Free Vibrations of a Pin-Ended Column With Constant Distance Between Ends
    • TRANS. ASME, June
    • Burgreen, D., “Free Vibrations of a Pin-Ended Column With Constant Distance Between Ends,” JOURNAL OF APPLIED MECHANICS, Vol. 18, TRANS. ASME, Vol. 73, June 1951, pp. 135-139.
    • (1951) JOURNAL OF APPLIED MECHANICS , vol.18-73 , pp. 135-139
    • Burgreen, D.1
  • 8
    • 0001412955 scopus 로고
    • The Normal Modes of Vibration of Certain Nonlinear Continuous Systems
    • TRANS. ASME, Series E
    • Wah, T., “The Normal Modes of Vibration of Certain Nonlinear Continuous Systems,” JOURNAL OF APPLIED MECHANICS, Vol. 31, TRANS. ASME, Vol. 86, Series E, 1964, p. 139.
    • (1964) JOURNAL OF APPLIED MECHANICS , vol.31-86 , pp. 139
    • Wah, T.1
  • 9
    • 20844445355 scopus 로고
    • Nonlinear Vibrations of Beams and Rectangular Plates
    • Mar
    • Eisley, J. G., “Nonlinear Vibrations of Beams and Rectangular Plates,” Zeitschrift fur angewandt Mathematik und Physik, Vol. 15, No. 2, Mar. 1966, pp. 167-174.
    • (1966) Zeitschrift fur angewandt Mathematik und Physik , vol.15 , Issue.2 , pp. 167-174
    • Eisley, J.G.1
  • 10
    • 0014767836 scopus 로고
    • A Multiple Degree of Freedom Approach to Nonlinear Beam Vibrations
    • Apr
    • Bennett, J. A., and Eisley, J. G., “A Multiple Degree of Freedom Approach to Nonlinear Beam Vibrations,” AIAA Journal, Vol. 8, No. 4, Apr. 1970, pp. 734-740.
    • (1970) AIAA Journal , vol.8 , Issue.4 , pp. 734-740
    • Bennett, J.A.1    Eisley, J.G.2
  • 11
    • 0014796364 scopus 로고
    • Nonlinear Vibrations of a Beam Under Harmonic Excitation
    • TRANS. ASME, Series E, June
    • Tseng, W. Y., and Dugundji, J., “Nonlinear Vibrations of a Beam Under Harmonic Excitation,” JOURNAL OF APPLIED MECHANICS, Vol. 37, TRANS. ASME, Vol. 92, Series E, June 1970, pp. 292-297.
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  • 12
    • 85015180140 scopus 로고
    • Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation
    • Trans. ASME, Series E, June
    • Tseng, W. Y., and Dugundji, J., “Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation,” JOURNAL OF APPLIED MECHANICS, Vol. 38, Trans. ASME, Vol. 93, Series E, June 1971, pp. 467-476.
    • (1971) JOURNAL OF APPLIED MECHANICS , vol.38-93 , pp. 467-476
    • Tseng, W.Y.1    Dugundji, J.2
  • 13
  • 15
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    • The Two-Variable Expansion Procedure for the Approximate Solution of Certain Nonlinear Differential Equa tions
    • part III, American Mathematical Society
    • Kevorkian, J., “The Two-Variable Expansion Procedure for the Approximate Solution of Certain Nonlinear Differential Equa tions,” Lectures in Applied Mathematics, Space Mathematics, part III, American Mathematical Society, 1966.
    • (1966) Lectures in Applied Mathematics, Space Mathematics
    • Kevorkian, J.1
  • 16
    • 0011809530 scopus 로고
    • A Perturbation Method for Treating Non- linear Oscillation Problems
    • Nayfeh, A. H., “A Perturbation Method for Treating Non- linear Oscillation Problems,” Journal of Mathematics and Physics Vol. XLIV, 1965, pp. 368-374.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.