메뉴 건너뛰기




Volumn 29, Issue 2, 1998, Pages 137-151

Finite element free flexural vibration analysis of arbitrary plates

Author keywords

Coordinate transformation; Curved boundary; Finite element; Free flexural vibration; Kirchhoff plate; Mapping

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CURVE FITTING; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

EID: 0032093377     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(98)00023-7     Document Type: Article
Times cited : (32)

References (29)
  • 1
    • 0003758712 scopus 로고
    • NASA SP-160, U.S. Government Printing Office
    • A.W. Leissa, Vibration of Plates, NASA SP-160, U.S. Government Printing Office, 1969.
    • (1969) Vibration of Plates
    • Leissa, A.W.1
  • 2
    • 0038552978 scopus 로고
    • The generation of inter-element-compatible stiffness and mass matrices by the use of interpolation formulas
    • Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80
    • F.K. Bogner, R.L. Fox, L.A. Schmit, The generation of inter-element-compatible stiffness and mass matrices by the use of interpolation formulas, Proc. Conf. Matrix Meth. Struct. Mech., Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80, 1966, pp. 397-443.
    • (1966) Proc. Conf. Matrix Meth. Struct. Mech. , pp. 397-443
    • Bogner, F.K.1    Fox, R.L.2    Schmit, L.A.3
  • 3
    • 0017301663 scopus 로고
    • Fundamental frequency of vibration of clamped plates of arbitrary shape subjected to a hydrostatic state of plane stress
    • P.A.A. Laura, R.H. Gutierrez, Fundamental frequency of vibration of clamped plates of arbitrary shape subjected to a hydrostatic state of plane stress, J. Sound Vib. 48 (1976) 327-332.
    • (1976) J. Sound Vib. , vol.48 , pp. 327-332
    • Laura, P.A.A.1    Gutierrez, R.H.2
  • 6
    • 0039859613 scopus 로고
    • Free vibration and static analysis of general plate by spline finite strip
    • Y.K. Cheung, L.G. Tham, W.Y. Li, Free vibration and static analysis of general plate by spline finite strip, Comput. Mech. 3 (1989) 187-197.
    • (1989) Comput. Mech. , vol.3 , pp. 187-197
    • Cheung, Y.K.1    Tham, L.G.2    Li, W.Y.3
  • 7
    • 0000266503 scopus 로고
    • Natural frequencies of arbitrarily shaped plates using the Rayleigh-Ritz method together with natural co-ordinate regions and normalized characteristic orthogonal polynomials
    • G.N. Geannakakes, Natural frequencies of arbitrarily shaped plates using the Rayleigh-Ritz method together with natural co-ordinate regions and normalized characteristic orthogonal polynomials, J. Sound Vib. 182 (1995) 441-478.
    • (1995) J. Sound Vib. , vol.182 , pp. 441-478
    • Geannakakes, G.N.1
  • 9
    • 0002627005 scopus 로고
    • Continua and discontinua
    • Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80
    • J.H. Argyris, Continua and discontinua, Proc. Conf. Matrix Meth. Struct. Mech., Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80, 1966, pp. 11-189.
    • (1966) Proc. Conf. Matrix Meth. Struct. Mech. , pp. 11-189
    • Argyris, J.H.1
  • 10
    • 0001925171 scopus 로고
    • A bending analysis for plates
    • Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80
    • L.R. Herrman, A bending analysis for plates, Proc. Conf. Matrix Meth. Struct. Mech., Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80, 1966, pp. 577-602.
    • (1966) Proc. Conf. Matrix Meth. Struct. Mech. , pp. 577-602
    • Herrman, L.R.1
  • 11
    • 37948998982 scopus 로고
    • A flat triangular shell element stiffness matrix
    • Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80
    • R.J. Melosh, A flat triangular shell element stiffness matrix, Proc. Conf. Matrix Meth. Struct. Mech., Wright-Patterson Air Force Base, Ohio, AFFDL-TR-66-80, 1966, pp. 503-514.
    • (1966) Proc. Conf. Matrix Meth. Struct. Mech. , pp. 503-514
    • Melosh, R.J.1
  • 12
    • 0348250333 scopus 로고
    • Finite element vibration analysis of cracked plates in tension
    • Air Force Materials Laboratory, Wright-Patterson Air Force Base, Ohio
    • M. Petyt, Finite element vibration analysis of cracked plates in tension, Technical Report AFML-TR-67-396, Air Force Materials Laboratory, Wright-Patterson Air Force Base, Ohio, 1968.
    • (1968) Technical Report AFML-TR-67-396
    • Petyt, M.1
  • 13
    • 0014727650 scopus 로고
    • Annual and circular sector finite elements for plate bending
    • M.D. Olson, G.M. Lindberg, Annual and circular sector finite elements for plate bending, Int. J. Meth. Sci. 11 (1969) 17-23.
    • (1969) Int. J. Meth. Sci. , vol.11 , pp. 17-23
    • Olson, M.D.1    Lindberg, G.M.2
  • 17
    • 0016895408 scopus 로고
    • A simultaneous iteration algorithm for symmetric eigenvalue problem
    • R.B. Corr, A. Jennings, A simultaneous iteration algorithm for symmetric eigenvalue problem, Int. J. Numer. Methods Eng. 10 (1976) 647-663.
    • (1976) Int. J. Numer. Methods Eng. , vol.10 , pp. 647-663
    • Corr, R.B.1    Jennings, A.2
  • 18
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • A.W. Leissa, The free vibration of rectangular plates, J. Sound Vib. 31 (1973) 257-293.
    • (1973) J. Sound Vib. , vol.31 , pp. 257-293
    • Leissa, A.W.1
  • 19
    • 0025703076 scopus 로고
    • Application of two-dimensional orthogonal plate function to flexural vibration of skew plates
    • K.M. Liew, K.Y. Lam, Application of two-dimensional orthogonal plate function to flexural vibration of skew plates, J. Sound Vib. 139 (1990) 241-252.
    • (1990) J. Sound Vib. , vol.139 , pp. 241-252
    • Liew, K.M.1    Lam, K.Y.2
  • 20
    • 85007658844 scopus 로고
    • Natural frequencies and modes of clamped skew plates
    • S. Durvasula, Natural frequencies and modes of clamped skew plates, Amer. Inst. Aeronout. Astronaut. J. 7 (1969) 1164-1167.
    • (1969) Amer. Inst. Aeronout. Astronaut. J. , vol.7 , pp. 1164-1167
    • Durvasula, S.1
  • 21
    • 0018290491 scopus 로고
    • Vibration of skew plates by using B-spline functions
    • T. Mizusawa, T. Kajita, M. Naruoka, Vibration of skew plates by using B-spline functions, J. Sound Vib. 62 (1979) 301-308.
    • (1979) J. Sound Vib. , vol.62 , pp. 301-308
    • Mizusawa, T.1    Kajita, T.2    Naruoka, M.3
  • 22
    • 0028761215 scopus 로고
    • Flexural vibration of skew plates using boundary characteristic orthogonal polynomials in two variables
    • B. Singh, S. Chakraverty, Flexural vibration of skew plates using boundary characteristic orthogonal polynomials in two variables, J. Sound. Vib. 173 (1994) 157-178.
    • (1994) J. Sound. Vib. , vol.173 , pp. 157-178
    • Singh, B.1    Chakraverty, S.2
  • 23
    • 0040360958 scopus 로고
    • Free vibration analysis of simply supported symmetrical trapezoidal plate
    • H.T. Saliba, Free vibration analysis of simply supported symmetrical trapezoidal plate, J. Sound Vib. 110 (1986) 87-97.
    • (1986) J. Sound Vib. , vol.110 , pp. 87-97
    • Saliba, H.T.1
  • 24
    • 0027626997 scopus 로고
    • Transverse vibration of trapezoidal plates of variable thickness: Symmetric trapezoids
    • K.M. Liew, M.K. Lim, Transverse vibration of trapezoidal plates of variable thickness: symmetric trapezoids, J. Sound Vib. 165 (1993) 45-67.
    • (1993) J. Sound Vib. , vol.165 , pp. 45-67
    • Liew, K.M.1    Lim, M.K.2
  • 25
    • 0025703270 scopus 로고
    • The free flexural vibration of right triangular isotropic and orthotropic plates
    • C.S. Kim, S.M. Dickinson, The free flexural vibration of right triangular isotropic and orthotropic plates, J. Sound Vib. 141 (1990) 291-311.
    • (1990) J. Sound Vib. , vol.141 , pp. 291-311
    • Kim, C.S.1    Dickinson, S.M.2
  • 26
    • 0018784499 scopus 로고
    • A semi-analytic solution for free vibration of annular sector plates
    • M. Mukhopadhyay, A semi-analytic solution for free vibration of annular sector plates, J. Sound Vib. 63 (1979) 87-95.
    • (1979) J. Sound Vib. , vol.63 , pp. 87-95
    • Mukhopadhyay, M.1
  • 27
    • 38249012669 scopus 로고
    • Use of two-dimensional orthogonal polynomials for vibration analysis of circular and elliptical plates
    • K.Y. Lam, K.M. Liew, S.T. Chow, Use of two-dimensional orthogonal polynomials for vibration analysis of circular and elliptical plates, J. Sound Vib. 154 (1992) 261-269.
    • (1992) J. Sound Vib. , vol.154 , pp. 261-269
    • Lam, K.Y.1    Liew, K.M.2    Chow, S.T.3
  • 28
    • 0019016064 scopus 로고
    • Natural frequencies of simply supported circular plates
    • A.W. Leissa, Y. Narita, Natural frequencies of simply supported circular plates, J. Sound Vib. 70 (1980) 221-229.
    • (1980) J. Sound Vib. , vol.70 , pp. 221-229
    • Leissa, A.W.1    Narita, Y.2
  • 29
    • 0024964571 scopus 로고
    • On the lateral vibration of thin annular and circular composite plates to certain complicating effects
    • C.S. Kim, S.M. Dickinson, On the lateral vibration of thin annular and circular composite plates to certain complicating effects, J. Sound Vib. 130 (1989) 363-377.
    • (1989) J. Sound Vib. , vol.130 , pp. 363-377
    • Kim, C.S.1    Dickinson, S.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.