scholarly journals Multidimensional Astrophysical Structural and Dynamical Analysis. I. Development of a Nonlinear Finite Element Approach

1999 ◽  
Vol 518 (2) ◽  
pp. 788-813 ◽  
Author(s):  
D. L. Meier
Keyword(s):  
Finite Element ◽  
Nonlinear Finite Element ◽  
Dynamical Analysis ◽  
Finite Element Approach ◽  
Element Approach

scholarly journals A Novel Shape Finding Method for the Main Cable of Suspension Bridge Using Nonlinear Finite Element Approach

2021 ◽  
Vol 11 (10) ◽  
pp. 4644
Author(s):  
Weiliang Zhu ◽  
Yaojun Ge ◽  
Genshen Fang ◽  
Jinxin Cao
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Suspension Bridge ◽  
Nonlinear Finite Element ◽  
Finite Element Approach ◽  
Main Cable ◽  
Element Approach ◽  
Lagrangian Coordinate ◽  
Main Cables ◽  
Finding Method

The determination of the final cable shape under the self-weight of the suspension bridge enables its safe construction and operation. Most existing studies solve the cable shape segment-by-segment in the Lagrangian coordinate system. This paper develops a novel shape finding method for the main cable of suspension bridge using nonlinear finite element approach with Eulerian description. The governing differential equations for a three-dimensional spatial main cable is developed before a one-dimensional linear shape function is introduced to solve the cable shape utilizing the Newton iteration method. The proposed method can be readily reduced to solve the two-dimensional parallel cable shape. Two iteration layers are required for the proposed method. The shape finding process has no need for the information of the cable material or cross section using the present technique. The commonly used segmental catenary method is compared with the present method using three cases study, i.e., a 1666-m-main-span earth-anchored suspension bridge with 2D parallel and 3D spatial main cables as well as a 300-m-main-span self-anchored suspension bridge with 3D spatial main cables. Numerical studies and iteration results show that the proposed shape finding technique is sufficiently accurate and operationally convenient to achieve the target configuration of the main cable.

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