참고문헌
- F. W. Beaufait, P. W. Hoadley, Analysis of elastic beams on nonlinear foundations, Comput. Struct. 12(1980), 669-676. https://doi.org/10.1016/0045-7949(80)90168-6
- S. W. Choi, Spectral analysis of the integral operator arising from the beam deflection problem on elastic foundation, II: eigenvalues, preprint, 2011.
- S. W. Choi, T. S. Jang, Existence and uniqueness of nonlinear deflctions of an infinite beam resting on a non-uniform non-linear elastic foundation, to appear in Boundary Value Problems.
- L. Fryba, infinite beam on an elastic foundation subjected to a moving load, Aplikace Matematiky 2(1957), 105-132.
- M. D. Greenberg, Foundations of Applied Mathematics, Prentice-Hall Inc., 1978.
- M. Hetenyi, Beams on Elastic Foundation, The University of Michigan Press, Ann Arbor, Mich., 1946.
- D. Hui, Postbuckling behavior of infinite beams on elastic foundations using Koiter's improved theory, Int. J. of Non-Linear Mech. 23(2)(1988), 113-123. https://doi.org/10.1016/0020-7462(88)90018-2
- T. S. Jang, H. S. Baek, J. K. Paik, A new method for the non-linear de리ection analysis of an infinite beam resting on a non-linear elastic foundation, Int. J. of Non-Linear Mech. 46(1)(2011), 339-346. https://doi.org/10.1016/j.ijnonlinmec.2010.09.017
- J. T. Kenney, Steady-state vibrations of beam on elastic foundation for moving load, J. Appl. Mech. 21(1954), 359-364.
- Y. H. Kuo, S. Y. Lee, deflection of non-uniform beams resting on a nonlinear elastic foundation, Comput. Struct. 51(1994), 513-519. https://doi.org/10.1016/0045-7949(94)90058-2
- H. L. Li, X. Y. Su, T. X. Yu, Dynamic behavior of a semi-infinite elastic-hardening-softening beam, Int. J. of Non-Linear Mech. 32(1)(1997), 145-159. https://doi.org/10.1016/S0020-7462(96)00018-2
- X. Ma, J. W. Butterworth, G. C. Clifton, Static analysis of an infinite beam resting on a tensionless Pasternak foundation, European Journal of Mechanics - A/Solids 28(4)(2009), 697-703. https://doi.org/10.1016/j.euromechsol.2009.03.003
- C. Miranda and K. Nair, Finite beams on elastic foundation, ASCE .I. Struct. Div. 92(1966), 131-142.
- H. Saito, T. Murakami, Vibrations of an infinite beam on an elastic foundation with consideration of mass of a foundation, Japanese Society of Mechanical Engineering 12(1969), 200-205. https://doi.org/10.1299/jsme1958.12.200
- A. E. Taylor, D. C. Lay, Introduction to Functional Analysis, 2nd ed., John Wiley & Sons Inc., 1980.
- S. P. Timoshenko, Statistical and dynamical stress in rails, Proceedings of the International Congress on Applied Mechanics, Zurich (1926), 407-418.
- S. Timoshenko, Strength of Materials: part 1 & part 2, 3rd ed., Van Nostrand, Princeton, NJ, 1955.
- B. Y. Ting, Finite beams on elastic foundation with restraints, ASCE. J. Struct. Div. 108(1982), 611-621.