The application of Finite Difference Method to the Beams on Elastic Foundation
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In this paper we developed a finite difference method with the highest effect to solve the beam which is rest on elastic foundation. The method is superior to other well-known approaches to this problem in that it allows a wider range of boundary conditions to be dealt with, such as are encountered in complex engineering operations. Using the finite difference method, the equations are converted into algebraic simultaneous equations. Several example problems are discussed and illustrated, and comparisons are made with analytical results.
Abstract
In this paper we developed a finite difference method with the highest effect to solve the beam which is rest on elastic foundation. The method is superior to other well-known approaches to this problem in that it allows a wider range of boundary conditions to be dealt with, such as are encountered in complex engineering operations. Using the finite difference method, the equations are converted into algebraic simultaneous equations. Several example problems are discussed and illustrated, and comparisons are made with analytical results.
참고문헌 (8)
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- Wang, P., "Numerical and Matrix Methods in Structural Mechanics" (2001), John Wiley & Sons
- Poulos,H., "Elastic Solutions for Soil and Rock Mechanics" (1974), John Wiley and Sons
- Kerr, J., "Elastic and Viscoelastic Foundation Models", Journal of Applied Mechanics, 31, pp.491~498 (1964)
- Barouch, M., "Beams, Plates and Shells on Elastic Foundations, Springfield : U.S. Department of Commerce", ~ (1966)
- Scott,R., "Foundation Analysis" (1966), Prentice Hall
- Vesic, A., "Bending of Beams Resting on Isotropic Elastic Solid", Proceedings, 87 (1961), ASCE