Finite Element Analysis of Cable-Stayed Bridges with Appropriate Initial Shapes Under Seismic Excitations Focusing on Deck-Stay Interaction

Initial Shapes of Cable-Stayed Bridges during Construction by Cantilever Methods – Numerical Simulation and Validation of the Kao Ping Hsi Bridge

“…Eq. 10is a set of simultaneous linear equations in a small force interval, which can be solved by the Newton-Raphson method [7][8][9][10][11].…”

“…For the initial shape analysis of a cable-stayed bridge, the weight of the deck-tower system is considered, whereas the weight of the stay cables is assumed to be negligible. The shape finding computation is conducted using a two-loop iteration method: an equilibrium iteration and a shape iteration [7][8][9][10][11]. It can be started with an estimated initial element force, i.e., pretension force, in the stay cables.…”

“…NSC 89-2211-E-033-009. Parts of the chapter are produced from the authors' previous publication [11].…”

“…To the authors' best knowledge, a number of papers have investigated the erection procedure of cable-stayed bridges, focusing primarily on the improvement of construction technology [4][5][6], but not for the analytical purpose. Since the initial shape of a cable-stayed bridge not only reasonably provides the geometric configuration as well as the prestress distribution of the whole bridge under the weight of the deck-tower system and the pretension forces in the stay cables, but also definitely ensures the satisfaction of the relationships for the equilibrium conditions, boundary conditions and architectural design requirements [7][8][9][10][11], it is essential to research the system behaviors with the appropriate initial shapes of cable-stayed bridges.…”