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Volumn 128, Issue 3, 2006, Pages 370-378

Free vibration analysis of spherical caps using a G.D.Q. numerical solution

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FOURIER TRANSFORMS; RELIABILITY; SHEAR DEFORMATION;

EID: 33748547766     PISSN: 00949930     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2217970     Document Type: Article
Times cited : (34)

References (24)
  • 1
    • 84963088996 scopus 로고
    • On the infinitesimal bending of surfaces of revolution
    • Rayleigh, Lord, 1881, "On the Infinitesimal Bending of Surfaces of Revolution," Proc. London Math. Soc., 13, pp. 4-16.
    • (1881) Proc. London Math. Soc. , vol.13 , pp. 4-16
    • Rayleigh, L.1
  • 2
    • 84960571197 scopus 로고
    • On the vibrations of a spherical shell
    • Lamb, H., 1882, "On the Vibrations of a Spherical Shell," Proc. London Math. Soc., 14, pp. 50-56.
    • (1882) Proc. London Math. Soc. , vol.14 , pp. 50-56
    • Lamb, H.1
  • 3
    • 0001488832 scopus 로고
    • On the small free vibrations and deformations of a thin elastic shell
    • Love, A. E. H., 1888, "On the Small Free Vibrations and Deformations of a Thin Elastic Shell," Philos. Trans. R. Soc. London, Ser. A, 17, pp. 491-546.
    • (1888) Philos. Trans. R. Soc. London, Ser. A , vol.17 , pp. 491-546
    • Love, A.E.H.1
  • 4
    • 0010439730 scopus 로고
    • On axisymmetrical vibrations of shallow spherical shells
    • Reissner, E., 1955, "On Axisymmetrical Vibrations of Shallow Spherical Shells," J. Appl. Math., 13, pp. 279-290.
    • (1955) J. Appl. Math. , vol.13 , pp. 279-290
    • Reissner, E.1
  • 5
    • 0242427131 scopus 로고
    • On vibrations of shallow spherical shells
    • Kalnins, A., 1960, "On Vibrations of Shallow Spherical Shells, " J. Acoust. Soc. Am., 33, pp. 1102-1107.
    • (1960) J. Acoust. Soc. Am. , vol.33 , pp. 1102-1107
    • Kalnins, A.1
  • 6
    • 84932339015 scopus 로고
    • Axisymmetric free vibration of shallow elastic spherical shells
    • Naghdi, P. M., and Kalnins, A., 1960, "Axisymmetric Free Vibration of Shallow Elastic Spherical Shells," J. Acoust. Soc. Am., 32, pp. 342-347.
    • (1960) J. Acoust. Soc. Am. , vol.32 , pp. 342-347
    • Naghdi, P.M.1    Kalnins, A.2
  • 7
    • 85024568282 scopus 로고
    • On vibration of elastic spherical shells
    • Naghdi, P. M., and Kalnins, A., 1962, "On Vibration of Elastic Spherical Shells," ASME J. Appl. Mech., 29, pp. 65-72.
    • (1962) ASME J. Appl. Mech. , vol.29 , pp. 65-72
    • Naghdi, P.M.1    Kalnins, A.2
  • 8
    • 0016050106 scopus 로고
    • Free vibration of shells of revolution using FEM
    • Sen, S. K., and Gould, P. L., 1974, "Free Vibration of Shells of Revolution Using FEM," J. Eng. Mech. Div., Am. Soc. Civ. Eng., 100, pp. 283-303.
    • (1974) J. Eng. Mech. Div., Am. Soc. Civ. Eng. , vol.100 , pp. 283-303
    • Sen, S.K.1    Gould, P.L.2
  • 9
    • 0015300970 scopus 로고
    • Mixed finite element method for axisymmetric shells
    • Elias, Z. M., 1972, "Mixed Finite Element Method for Axisymmetric Shells," Int. J. Numer. Methods Eng., 4, pp. 261-277.
    • (1972) Int. J. Numer. Methods Eng. , vol.4 , pp. 261-277
    • Elias, Z.M.1
  • 11
    • 0035918613 scopus 로고    scopus 로고
    • Higher-order hybrid-mixed axisymmetric thick shell element for vibration analysis
    • Kim, J. G., and Kim, Y. Y., 2001, "Higher-Order Hybrid-Mixed Axisymmetric Thick Shell Element for Vibration Analysis," Int. J. Numer. Methods Eng., 51, pp. 241-252.
    • (2001) Int. J. Numer. Methods Eng. , vol.51 , pp. 241-252
    • Kim, J.G.1    Kim, Y.Y.2
  • 12
    • 0034602940 scopus 로고    scopus 로고
    • A higher order hybrid-mixed harmonic shell-of-revolution element
    • Kim, J. G., and Kim, Y. Y., 2000, "A Higher Order Hybrid-Mixed Harmonic Shell-of-Revolution Element," Comput. Methods Appl. Mech. Eng., 182, pp. 1-16.
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.182 , pp. 1-16
    • Kim, J.G.1    Kim, Y.Y.2
  • 13
    • 0001581047 scopus 로고
    • Differential quadrature and long-term integration
    • Bellman, R., 1971, "Differential Quadrature and Long-term Integration," J. Math. Anal. Appl., 34, pp. 235-238.
    • (1971) J. Math. Anal. Appl. , vol.34 , pp. 235-238
    • Bellman, R.1
  • 14
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • Bellman, R., Kashef, B. G., and Casti, J., 1972, "Differential Quadrature: A Technique for the Rapid Solution of Nonlinear Partial Differential Equations," J. Comput. Phys., 10, pp. 40-52.
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.G.2    Casti, J.3
  • 15
    • 0031208868 scopus 로고    scopus 로고
    • Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
    • Bellomo, N., 1997, "Nonlinear Models and Problems in Applied Sciences from Differential Quadrature to Generalized Collocation Methods," Math. Comput. Modell., 26(4), pp. 13-34.
    • (1997) Math. Comput. Modell. , vol.26 , Issue.4 , pp. 13-34
    • Bellomo, N.1
  • 16
    • 2342510346 scopus 로고    scopus 로고
    • The G. D. Q. method for the harmonic dynamic analysis of rotational shell structural elements
    • Viola, E., and Artioli, E., 2004, "The G. D. Q. Method for the Harmonic Dynamic Analysis of Rotational Shell Structural Elements," Struct. Eng. Mech., 17(6), pp. 789-817.
    • (2004) Struct. Eng. Mech. , vol.17 , Issue.6 , pp. 789-817
    • Viola, E.1    Artioli, E.2
  • 17
    • 0022010458 scopus 로고
    • Asymmetric modes and associated eigenvalues for spherical shells
    • Singh, A. V., and Mirza, S., 1985, "Asymmetric Modes and Associated Eigenvalues for Spherical Shells," ASME J. Pressure Vessel Technol., 107, pp. 77-82.
    • (1985) ASME J. Pressure Vessel Technol. , vol.107 , pp. 77-82
    • Singh, A.V.1    Mirza, S.2
  • 18
    • 84983648580 scopus 로고
    • On vibration of shells of revolution using bezier polynomials
    • Singh, A. V., 1991, "On Vibration of Shells of Revolution Using Bezier Polynomials," ASME J. Pressure Vessel Technol., 113, pp. 579-584.
    • (1991) ASME J. Pressure Vessel Technol. , vol.113 , pp. 579-584
    • Singh, A.V.1
  • 21
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert, C. W., and Malik, M., 1996, "Differential Quadrature Method in Computational Mechanics: a Review," Appl. Mech. Rev., 49, pp. 1-27.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 22
    • 0032593233 scopus 로고    scopus 로고
    • Vibration analysis of toroidal panels using the differential quadrature method
    • Redekop, D., and Xu, B., 1999, "Vibration Analysis of Toroidal Panels Using the Differential Quadrature Method," Thin-Walled Struct., 34, pp. 217-231.
    • (1999) Thin-walled Struct. , vol.34 , pp. 217-231
    • Redekop, D.1    Xu, B.2
  • 23
    • 0026939625 scopus 로고
    • Application of generalized quadrature to solve two-dimensional incompressible navier-stokes equation
    • Shu, C., and Richards, B. E., 1992, "Application of Generalized Quadrature to solve Two-dimensional Incompressible Navier-Stokes Equation, " Int. J. Numer. Methods Fluids, 15, pp. 791-798.
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 24
    • 0021757361 scopus 로고
    • Flexural axisymmetric free vibrations of a spherical dome: Exact results and approximate solutions
    • Kunieda, H., 1982, "Flexural Axisymmetric Free Vibrations of a Spherical Dome: Exact Results and Approximate Solutions," J. Sound Vib., 92(1), pp. 1-10.
    • (1982) J. Sound Vib. , vol.92 , Issue.1 , pp. 1-10
    • Kunieda, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.