Efficient Combination of a TCUD Method and an Initial Force Method for Determining Initial Shapes of Cable-Supported Bridges

다국어 초록 (Multilingual Abstract)

The TCUD method (Kim and Lee, 2001) can provides the reasonable initial shape of cable-supported bridges under full dead load by including the unstrained lengths of the cable members as unknowns and introducing additional constraint conditions equal to the total number of the cable members. However, the axial deformations in the girder and main tower members are not avoidable which result in some difference from a target configuration when long-span cable-supported bridges are considered. In this study, an effective method to be able to eliminate those axial deformations as well as to preserve merits of the TCUD method is newly proposed. For this purpose, the TCUD method and the initial force method with successive substitution are reviewed based on an elastic catenary cable element, respectively, and a new algorithm combining two methods efficiently is presented. In addition, a truss-cable element for modeling hangers and a beam-column element for the girder and main tower members are supplementarily developed, respectively. The proposed method is applied for two suspension bridges and a cable-stayed bridge to demonstrate its accuracy and effectiveness.

참고문헌 (Reference)

1 Wang P. H., "Study on nonlinear analysis of a highly redundant cable-stayed bridge" 80 : 165-182, 2002

2 Furukawa, K., "Studies on optimization of cable prestressing for cable-stayed bridges" 723-734, 1987

3 Karoumi, R., "Some modeling aspects in the nonlinear finite element analysis of cable supported bridges" 71 : 397-412, 1999

4 Kim, H.-K, "Nonlinear shape-finding analysis of a self-anchored suspension bridge" 24 (24): 1547-1559, 2002

5 김호경, "Motion of Suspension Bridge Subject to Moving Load Using Finite Element Method" 183-196, 1992

6 Meek, J. L., "Large displacement analysis of space-frame structures" 72 : 57-75, 1989

7 Wang, P. H., "Initial shape of cable-stayed bridges" 46 (46): 1095-1106, 1993

8 Souza, R., "Forced-based finite element for large displacement inelastic analysis of frames" University of California at Berkeley 2000

9 Kim, J.-C., "Determination of Initial Shape and Fabrication Camber for Cable-Stayed Bridges Using Initial Member Force" 19 (19): 377-386, 1999

10 Han, Y., "Calculation method on shape finding of self-anchored suspension bridge with spatial cables" 3 (3): 165-172, 2009

11 Irvine, H., "Cable Structures" MIT Press 1981

12 Kim, K.-S., "Analysis of target configurations under dead loads for cable-supported bridges" 79 : 2681-2692, 2001

13 Zhang, K., "Analysis of cable curve and determination of finished state of self-anchored suspension bridge" 1935-1938, 2011

14 Takagi, R., "A new design techique for pre-stressed loads of a cable-stayed bridge" 58 : 607-612, 1995

15 Jayaraman, H., "A curved element for the analysis of cable structures" 14 (14): 325-333, 1981