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Geometrical Nonlinearity Analysis of Cable-Stayed Bridges Based on CR Formulation

Author: WeiKe
Tutor: LiangPeng
School: Chang'an University
Course: Bridge and Tunnel Engineering
Keywords: Cable-stayed bridge Geometric nonlinearity CR-UL -row Catenary unit P-Delta analysis
CLC: U448.27
Type: Master's thesis
Year: 2009
Downloads: 180
Quote: 4
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Abstract


Stayed geometric nonlinear analysis is currently used mainly equivalent modulus consider cable sag effect, stabilizing function or geometric stiffness matrix considering beam effects, Lagrange increment column type (TL-column or UL-column) consider large displacement. Because cable-stayed span covers a wide span or without taking much geometrically nonlinear effects is not clearly defined, long-span cable-stayed bridge for 400 ~ 600m most researchers consider using only the equivalent modulus cable sag effect, simplify consider geometric nonlinearity. This article is a modified CR-UL-column, catenary cable element simulation method 400 ~ 600m span cable-stayed bridge for fine geometric nonlinear analysis, the main contents are as follows: 1. Summary TL column type, UL listed CR formulation type and characteristics of three kinds of columns from the derivation formula described on their respective strengths and weaknesses. Verify CR-UL-row in the calculation of geometric nonlinearity on the accuracy of the calculation formula that the UL Listed nonlinear problems on large displacement error is large, nonlinear finite element analysis for the cable-stayed bridge to provide a theoretical basis. (2) Comparison based on the theory of linear second-order P-Delta and nonlinear analysis calculation principles, and examples prove, in the case of structural displacement is relatively small when the P-Delta analysis and nonlinear analysis can come very close to the results . 3 Review the basic catenary unit tangent stiffness matrix equation and derivation, validation catenary cable unit sag effect in the calculation of the accuracy of respect, for the use of cable-stayed catenary element simulation provides a theoretical basis. 4 to 400,600 m level two structurally similar cable-stayed steel box, for example, based on CR-UL-column theory, analog cable catenary unit, through full-bridge simulation modeling to calculate all the construction phase and Using geometric nonlinear effects stage cable-stayed bridge, and with the addition of four different geometric nonlinear analysis methods were compared. The main conclusions are: ① large displacement geometric nonlinearity stayed small, linear second-order P-Delta analysis or CR formulation based on the geometric nonlinear analysis considering nonlinear beam can meet the engineering requirements; ② 400-meter cable-stayed bridge is considered the equivalent modulus method sag effect, linear second-order effect and large displacements calculated beam that is able to meet the project needs to get results; But as the span increases, geometric nonlinearity increases, 600 m level cable-stayed bridge proposal Even clue element simulation using cable-stayed suspension, geometric stiffness matrix nonlinear beam effects and large displacement calculation method.

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CLC: > Transportation > Road transport > Bridges and Culverts > All kinds of bridges > Bridge: Structure > Cable-stayed bridge
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