Structural Stability Analysis of Circular Arches using Finite Difference Method
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In this paper we are concerned with the structural stability of circular arch structure. The critical load is defined as the smallest load at which the equilibrium of the structure fails to be stable as the load is slowly increased from zero. For arch structure the stability determination may be based on a criterion known as the critical load. The finite difference method for the analysis of circular arch is presented. Example problems were solved utilizing the circular curved beam formulation. These solutions were compared to those obtained by finite element results. Solutions include deflections, reactions, critical load and stress resultants in static, planar arches with partial distributed loads. Critical load range for stability will be estimated from the solutions.
Abstract
In this paper we are concerned with the structural stability of circular arch structure. The critical load is defined as the smallest load at which the equilibrium of the structure fails to be stable as the load is slowly increased from zero. For arch structure the stability determination may be based on a criterion known as the critical load. The finite difference method for the analysis of circular arch is presented. Example problems were solved utilizing the circular curved beam formulation. These solutions were compared to those obtained by finite element results. Solutions include deflections, reactions, critical load and stress resultants in static, planar arches with partial distributed loads. Critical load range for stability will be estimated from the solutions.
참고문헌 (5)
- Ashwell, D, "Limitations of certain curved finite elements when applied to arches", International Journal for Mechanics and Science, 13, pp.133~139 (1971)
- Ashwell, D, "Further studies in the application of curved finite elements to circular arches", International Journal for Mechanics and Science, 13, pp.507~517 (1971)
- Dawe, D, "Numerical studies using circular arch finite elements", Computers and Structures, 4, pp.729~740 (1974)
- Wang, P, "Numerical and Matrix Methods in Structural Mechanics" (2001), John Wiley & Sons, Inc
- Yamada, Y, "On curved finite elements for the analysis of circular arches", International Journal for Numerical Methods in Engineering, 11, pp.1635~1638 (1977)