메뉴 건너뛰기




Volumn 4, Issue 10, 2009, Pages 1741-1754

A new analytic symplectic elasticity approach for beams resting on Pasternak elastic foundations

Author keywords

Elastic foundation; Hamilton principle; Legendre transformation; Saint Venant problem; Symplectic

Indexed keywords


EID: 77953718536     PISSN: 15593959     EISSN: None     Source Type: Journal    
DOI: 10.2140/jomms.2009.4.1741     Document Type: Article
Times cited : (28)

References (22)
  • 1
    • 4143092668 scopus 로고    scopus 로고
    • A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation
    • W. Q. Chen, C. F. Lü, and Z. G. Bian, "A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation", Appl. Math. Model. 28:10 (2004), 877-890.
    • (2004) Appl. Math. Model. , vol.28 , Issue.10 , pp. 877-890
    • Chen, W.Q.1    Lü, C.F.2    Bian, Z.G.3
  • 2
    • 0007746562 scopus 로고    scopus 로고
    • The influence of concentrated mass and Pasternak soil on the free vibrations of Euler beams - Exact solution
    • M. A. De Rosa and M. J. Maurizi, "The influence of concentrated mass and Pasternak soil on the free vibrations of Euler beams - Exact solution", J. Sound Vib. 212:4 (1998), 573-581.
    • (1998) J. Sound Vib. , vol.212 , Issue.4 , pp. 573-581
    • De Rosa, M.A.1    Maurizi, M.J.2
  • 3
    • 23944474819 scopus 로고    scopus 로고
    • Analytical solution for fixed-fixed beam subjected to uniform load
    • H. J. Ding, D. J. Huang, and W. Q. Chen, "Analytical solution for fixed-fixed beam subjected to uniform load", J. Zhejiang Univ. SCI. 6A:8 (2005), 779-783.
    • (2005) J. Zhejiang Univ. SCI , vol.6 A , Issue.8 , pp. 779-783
    • Ding, H.J.1    Huang, D.J.2    Chen, W.Q.3
  • 4
    • 0027907531 scopus 로고
    • Free vibrations of foundation beams on 2-parameter elastic soil
    • C. Franciosi and A. Masi, "Free vibrations of foundation beams on 2-parameter elastic soil", Comput. Struct. 47:3 (1993), 419-426.
    • (1993) Comput. Struct. , vol.47 , Issue.3 , pp. 419-426
    • Franciosi, C.1    Masi, A.2
  • 5
    • 0026867014 scopus 로고
    • Higher-order theory for sandwich-beam behavior with transversely flexible core
    • Y. Frostig, M. Baruch, O. Vilnay, and I. Sheinman, "Higher-order theory for sandwich-beam behavior with transversely flexible core", ASCE J. Eng. Mech. 118:5 (1992), 1026-1043.
    • (1992) ASCE J. Eng. Mech. , vol.118 , Issue.5 , pp. 1026-1043
    • Frostig, Y.1    Baruch, M.2    Vilnay, O.3    Sheinman, I.4
  • 6
    • 0037338367 scopus 로고    scopus 로고
    • Vibration of Timoshenko beams with internal hinge
    • Y. Y. Lee, C. M. Wang, and S. Kitipornchai, "Vibration of Timoshenko beams with internal hinge", J. Eng. Mech. 129:3 (2003), 293-301.
    • (2003) J. Eng. Mech. , vol.129 , Issue.3 , pp. 293-301
    • Lee, Y.Y.1    Wang, C.M.2    Kitipornchai, S.3
  • 7
    • 85025753661 scopus 로고
    • The free vibration of plates
    • A. W. Leissa, "The free vibration of plates", J. Sound Vib. 31:3 (1973), 257-293.
    • (1973) J. Sound Vib. , vol.31 , Issue.3 , pp. 257-293
    • Leissa, A.W.1
  • 8
    • 0032761355 scopus 로고    scopus 로고
    • Three-dimensional vibration analysis of a cantilevered parallelepiped: exact and approximate solutions
    • C. W. Lim, "Three-dimensional vibration analysis of a cantilevered parallelepiped: exact and approximate solutions", J. Acoust. Soc. Am. 106:6 (1999), 3375-3381.
    • (1999) J. Acoust. Soc. Am. , vol.106 , Issue.6 , pp. 3375-3381
    • Lim, C.W.1
  • 9
    • 33947642005 scopus 로고    scopus 로고
    • On new symplectic elasticity approach for exact bending solutions of rectangular thin plates with two opposite sides simply supported
    • C. W. Lim, S. Cui, and W. A. Yao, "On new symplectic elasticity approach for exact bending solutions of rectangular thin plates with two opposite sides simply supported", Int. J. Solids Struct. 44:16 (2007), 5369-5411.
    • (2007) Int. J. Solids Struct. , vol.44 , Issue.16 , pp. 5369-5411
    • Lim, C.W.1    Cui, S.2    Yao, W.A.3
  • 10
    • 57649099155 scopus 로고    scopus 로고
    • Benchmarks of analytical symplectic solutions for bending of corner-supported rectangular thin plates
    • C. W. Lim, W. A. Yao, and S. Cui, "Benchmarks of analytical symplectic solutions for bending of corner-supported rectangular thin plates", IES J. Part A 1:3 (2008), 106-115.
    • (2008) IES J. Part A , vol.1 , Issue.3 , pp. 106-115
    • Lim, C.W.1    Yao, W.A.2    Cui, S.3
  • 11
    • 0033683466 scopus 로고    scopus 로고
    • Vibration and stability of thick plates on elastic foundations
    • H. Matsunaga, "Vibration and stability of thick plates on elastic foundations", ASCE J. Eng. Mech. 126:1 (2000), 27-34.
    • (2000) ASCE J. Eng. Mech. , vol.126 , Issue.1 , pp. 27-34
    • Matsunaga, H.1
  • 13
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • J. N. Reddy, "A simple higher-order theory for laminated composite plates", ASME J. Appl. Mech. 51:4 (1984), 745-752.
    • (1984) ASME J. Appl. Mech. , vol.51 , Issue.4 , pp. 745-752
    • Reddy, J.N.1
  • 14
    • 0035304158 scopus 로고    scopus 로고
    • An elasticity solution for functionally graded beams
    • B. V. Sankar, "An elasticity solution for functionally graded beams", Compos. Sci. Technol. 61:5 (2001), 689-696.
    • (2001) Compos. Sci. Technol. , vol.61 , Issue.5 , pp. 689-696
    • Sankar, B.V.1
  • 15
    • 0026817882 scopus 로고
    • Timoshenko beam element resting on two-parameter elastic foundation
    • L. M. Shirima and M. W. Giger, "Timoshenko beam element resting on two-parameter elastic foundation", ASCE J. Eng. Mech. 118:3 (1992), 280-295.
    • (1992) ASCE J. Eng. Mech. , vol.118 , Issue.3 , pp. 280-295
    • Shirima, L.M.1    Giger, M.W.2
  • 16
    • 0022864742 scopus 로고
    • An elasticity analysis for the generally and specially orthotropic beams subjected to concentrated loads
    • J. L. Sullivan and H. Vanoene, "An elasticity analysis for the generally and specially orthotropic beams subjected to concentrated loads", Compos. Sci. Technol. 27:3 (1986), 133-155.
    • (1986) Compos. Sci. Technol. , vol.27 , Issue.3 , pp. 133-155
    • Sullivan, J.L.1    Vanoene, H.2
  • 17
    • 0000849966 scopus 로고
    • On the correction for shear of the differential equation for transverse vibrations of prismatic bars
    • S. P. Timoshenko, "On the correction for shear of the differential equation for transverse vibrations of prismatic bars", Philos. Mag. 41:6 (1921), 744-746.
    • (1921) Philos. Mag. , vol.41 , Issue.6 , pp. 744-746
    • Timoshenko, S.P.1
  • 19
    • 0032000130 scopus 로고    scopus 로고
    • Exact solutions for Timoshenko beams on elastic foundations using Green's functions
    • C. M. Wang, K. Y. Lam, and X. Q. He, "Exact solutions for Timoshenko beams on elastic foundations using Green's functions", Mech. Struct. Mach. 26:1 (1998), 101-113.
    • (1998) Mech. Struct. Mach. , vol.26 , Issue.1 , pp. 101-113
    • Wang, C.M.1    Lam, K.Y.2    He, X.Q.3
  • 21
    • 0021897772 scopus 로고
    • Elasticity analysis of orthotropic beams under concentrated loads
    • J. M. Whitney, "Elasticity analysis of orthotropic beams under concentrated loads", Compos. Sci. Technol. 22:3 (1985), 167-184.
    • (1985) Compos. Sci. Technol. , vol.22 , Issue.3 , pp. 167-184
    • Whitney, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.