메뉴 건너뛰기




Volumn 28, Issue 10, 2004, Pages 877-890

A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation

Author keywords

Bending and free vibration; Differential quadrature method; Pasternak elastic foundation; State equation; State space method

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; DIFFERENCE EQUATIONS; ELASTIC MODULI; ELASTICITY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; POISSON RATIO; PROBLEM SOLVING; VIBRATION CONTROL;

EID: 4143092668     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2004.04.001     Document Type: Article
Times cited : (157)

References (31)
  • 1
    • 0002888095 scopus 로고
    • A general solution for the bending of beams on an elastic foundation of arbitrary continuity
    • Hetenyi M. A general solution for the bending of beams on an elastic foundation of arbitrary continuity J. Appl. Phys. 21 1950 55-58
    • (1950) J. Appl. Phys. , vol.21 , pp. 55-58
    • Hetenyi, M.1
  • 2
    • 0023648107 scopus 로고
    • Vibrations and buckling of a beam on a variable Winkler elastic foundation
    • Eisenberger M. Clastornik J. Vibrations and buckling of a beam on a variable Winkler elastic foundation J. Sound Vib. 115 1987 233-241
    • (1987) J. Sound Vib. , vol.115 , pp. 233-241
    • Eisenberger, M.1    Clastornik, J.2
  • 3
    • 0027907382 scopus 로고
    • A general solution to vibrations of beams on variable Winkler elastic foundation
    • Ding Z. A general solution to vibrations of beams on variable Winkler elastic foundation Comput. Struct. 47 1993 83-90
    • (1993) Comput. Struct. , vol.47 , pp. 83-90
    • Ding, Z.1
  • 7
    • 0040118090 scopus 로고
    • An exact frequency equation for an axially loaded beam-mass-spring system resting on a Winkler elastic foundation
    • Farghaly S.H. Zeid K.M. An exact frequency equation for an axially loaded beam-mass-spring system resting on a Winkler elastic foundation J. Sound Vib. 185 1995 357-363
    • (1995) J. Sound Vib. , vol.185 , pp. 357-363
    • Farghaly, S.H.1    Zeid, K.M.2
  • 8
    • 0005714412 scopus 로고
    • On a new method of analysis of an elastic foundation by means of two foundation constants
    • Moscow (in Russian)
    • P.L. Pasternak, On a new method of analysis of an elastic foundation by means of two foundation constants, Gos. Izd. Lip. po Strait i Arkh. Moscow, 1954 (in Russian)
    • (1954) Gos. Izd. Lip. Po Strait I Arkh
    • Pasternak, P.L.1
  • 9
    • 0029634766 scopus 로고
    • Free vibrations of Timoshenko beams on two-parameter elastic foundation
    • De Rosa M.A. Free vibrations of Timoshenko beams on two-parameter elastic foundation Comput. Struct. 57 1995 151-156
    • (1995) Comput. Struct. , vol.57 , pp. 151-156
    • De Rosa, M.A.1
  • 10
    • 0029634993 scopus 로고
    • Vibrations of initially stressed uniform beams on two-parameter elastic foundation
    • Naidu N.R. Rao G.V. Vibrations of initially stressed uniform beams on two-parameter elastic foundation Comput. Struct. 57 1995 941-943
    • (1995) Comput. Struct. , vol.57 , pp. 941-943
    • Naidu, N.R.1    Rao, G.V.2
  • 11
    • 0037411934 scopus 로고    scopus 로고
    • Application of modified Vlasov model to free vibration analysis of beams resting on elastic foundations
    • Ayvaz Y. Özgan K. Application of modified Vlasov model to free vibration analysis of beams resting on elastic foundations J. Sound Vib. 255 2002 111-127
    • (2002) J. Sound Vib. , vol.255 , pp. 111-127
    • Ayvaz, Y.1    Özgan, K.2
  • 12
    • 0025596075 scopus 로고
    • Free vibrations of non-uniform beams resting on non-uniform elastic foundation with general elastic end restraints
    • Lee S.Y. Kes H.Y. Free vibrations of non-uniform beams resting on non-uniform elastic foundation with general elastic end restraints Comput. Struct. 34 1990 421-429
    • (1990) Comput. Struct. , vol.34 , pp. 421-429
    • Lee, S.Y.1    Kes, H.Y.2
  • 13
    • 0027907531 scopus 로고
    • Free vibrations of foundation beams on two-parameter elastic soil
    • Franciosi C. Masi A. Free vibrations of foundation beams on two-parameter elastic soil J. Sound Vib. 47 1993 419-426
    • (1993) J. Sound Vib. , vol.47 , pp. 419-426
    • Franciosi, C.1    Masi, A.2
  • 14
    • 0032000130 scopus 로고    scopus 로고
    • Exact solutions for Tiomoshenko beams on elastic foundations using Green's functions
    • Wang C.M. Lam K.Y. He X.Q. Exact solutions for Tiomoshenko beams on elastic foundations using Green's functions Mech. Struct. Mach. 26 1998 101-113
    • (1998) Mech. Struct. Mach. , vol.26 , pp. 101-113
    • Wang, C.M.1    Lam, K.Y.2    He, X.Q.3
  • 15
    • 0007746562 scopus 로고    scopus 로고
    • The influence of concentrated masses and Pasternak soil on the free vibrations of Euler beams--exact solution
    • De Rosa M.A. Maurizi M.J. The influence of concentrated masses and Pasternak soil on the free vibrations of Euler beams--exact solution J. Sound Vib. 212 1998 573-581
    • (1998) J. Sound Vib. , vol.212 , pp. 573-581
    • De Rosa, M.A.1    Maurizi, M.J.2
  • 16
    • 0032040849 scopus 로고    scopus 로고
    • Analysis of general elastically end restrained non-uniform beams using differential transform
    • Ho S.H. Chen C.K. Analysis of general elastically end restrained non-uniform beams using differential transform Appl. Math. Model. 22 1998 219-234
    • (1998) Appl. Math. Model. , vol.22 , pp. 219-234
    • Ho, S.H.1    Chen, C.K.2
  • 17
    • 0033745567 scopus 로고    scopus 로고
    • Vibration of prismatic beam on an elastic foundation by the differential quadrature element method
    • Chen C.N. Vibration of prismatic beam on an elastic foundation by the differential quadrature element method Comput. Struct. 77 2000 1-9
    • (2000) Comput. Struct. , vol.77 , pp. 1-9
    • Chen, C.N.1
  • 18
    • 0022895509 scopus 로고
    • An exact finite element for beam on elastic foundation problems
    • Davies J.M. An exact finite element for beam on elastic foundation problems J. Struct. Mech. 14 1986 489-499
    • (1986) J. Struct. Mech. , vol.14 , pp. 489-499
    • Davies, J.M.1
  • 19
    • 0025592586 scopus 로고
    • Parametric instability of Timoshenko beam with thermal gradient resting on a variable Pasternak foundation
    • Kar R.C. Sujata T. Parametric instability of Timoshenko beam with thermal gradient resting on a variable Pasternak foundation Comput. Struct. 36 1990 659-665
    • (1990) Comput. Struct. , vol.36 , pp. 659-665
    • Kar, R.C.1    Sujata, T.2
  • 20
    • 0032463613 scopus 로고    scopus 로고
    • Solution of beam on elastic foundation by DQEM
    • Chen C.N. Solution of beam on elastic foundation by DQEM J. Eng. Mech. ASCE 124 1998 1381-1384
    • (1998) J. Eng. Mech. ASCE , vol.124 , pp. 1381-1384
    • Chen, C.N.1
  • 21
    • 0027907778 scopus 로고
    • Differential and quadrature analysis of deflection, buckling and free vibration of beams and rectangular plates
    • Wang X. Bert C.W. Striz A.G. Differential and quadrature analysis of deflection, buckling and free vibration of beams and rectangular plates Comput. Struct. 48 1993 473-479
    • (1993) Comput. Struct. , vol.48 , pp. 473-479
    • Wang, X.1    Bert, C.W.2    Striz, A.G.3
  • 22
    • 0041084228 scopus 로고
    • Analysis of vibrating Timoshenko beams using the method of differential quadrature
    • Laura P.A.A. Gutierrez R.H. Analysis of vibrating Timoshenko beams using the method of differential quadrature Shock and Vibration 1 1993 89-93
    • (1993) Shock and Vibration , vol.1 , pp. 89-93
    • Laura, P.A.A.1    Gutierrez, R.H.2
  • 23
    • 0032041465 scopus 로고    scopus 로고
    • Analysis of eccentrically stiffened plates with mixed boundary conditions using differential quadrature method
    • Siddiqi Z.A. Kukreti A.R. Analysis of eccentrically stiffened plates with mixed boundary conditions using differential quadrature method Appl. Math. Model. 22 1998 251-275
    • (1998) Appl. Math. Model. , vol.22 , pp. 251-275
    • Siddiqi, Z.A.1    Kukreti, A.R.2
  • 24
    • 0036687104 scopus 로고    scopus 로고
    • A derivation and solution of dynamic equilibrium equations of shear undeformable composite anisotropic beams using the DQEM
    • Chen C.N. A derivation and solution of dynamic equilibrium equations of shear undeformable composite anisotropic beams using the DQEM Appl. Math. Model. 26 2002 833-861
    • (2002) Appl. Math. Model. , vol.26 , pp. 833-861
    • Chen, C.N.1
  • 25
    • 0036460182 scopus 로고    scopus 로고
    • Buckling equilibrium equations of arbitrarily loaded nonprismatic composite beams and the DQEM buckling analysis using EDQ
    • Chen C.N. Buckling equilibrium equations of arbitrarily loaded nonprismatic composite beams and the DQEM buckling analysis using EDQ Appl. Math. Model. 27 2003 27-46
    • (2003) Appl. Math. Model. , vol.27 , pp. 27-46
    • Chen, C.N.1
  • 27
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C. Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations Int. J. Num. Methods Fluids 15 1992 791-798
    • (1992) Int. J. Num. Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 28
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert C.W. Malik M. Differential quadrature method in computational mechanics: a review Appl. Mech. Rev. 49 1996 1-28
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 29
    • 0025749119 scopus 로고
    • Differential quadrature method in the buckling analysis of beams and composite plates
    • Sherbourne A.N. Pandey M.D. Differential quadrature method in the buckling analysis of beams and composite plates Comput. Struct. 40 1991 903-913
    • (1991) Comput. Struct. , vol.40 , pp. 903-913
    • Sherbourne, A.N.1    Pandey, M.D.2
  • 30
    • 0034784068 scopus 로고    scopus 로고
    • On the bending, vibration and stability of laminated rectangular plates with transversely isotropic layers
    • Ding H.J. Chen W.Q. Xu R.Q. On the bending, vibration and stability of laminated rectangular plates with transversely isotropic layers Appl. Math. Mech. 22 2001 16-22
    • (2001) Appl. Math. Mech. , vol.22 , pp. 16-22
    • Ding, H.J.1    Chen, W.Q.2    Xu, R.Q.3
  • 31
    • 0030183198 scopus 로고    scopus 로고
    • Nonaxisymmetric free vibrations of a spherically isotropic spherical shell embedded in an elastic medium
    • Ding H.J. Chen W.Q. Nonaxisymmetric free vibrations of a spherically isotropic spherical shell embedded in an elastic medium Int. J. Solids Struct. 33 1996 2575-2590
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 2575-2590
    • Ding, H.J.1    Chen, W.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.