Large-span suspension bridge main cable shape and stress calculation method and application thereof

Abstract

The invention relates to a large-span suspension bridge main cable shape and stress calculation method and application thereof, and the method comprises the steps: obtaining a large-span suspension bridge main cable nonlinear static analysis equation based on a new deflection theory, solving the unstressed length of a main cable and a suspension rod through the volume flexibility conversion, and enabling the structural force and shape of a large-span suspension bridge to be unified. Compared with the error caused by assumed approximate calculation of the cable length and the cable force by adopting parabolas, segmented catenaries, unchanged main cable volume and the like in the prior art, the calculation method provided by the invention can improve the construction control precision of thelarge-span suspension bridge to a millimeter level, and provides a new theoretical support for the design and monitoring of the extra-large-span suspension bridge cable.

Description

technical field [0001] The invention relates to an accurate calculation method for a main cable of a suspension bridge, in particular to a method for calculating the shape and stress of a main cable of a long-span suspension bridge and an application thereof, belonging to the technical field of engineering construction. Background technique [0002] Theoretical research on suspension bridges probably started at the end of the 18th century and the beginning of the 19th century, and cable calculation theories such as parabolic cables, equal-section catenary cables, and uniform stress catenary cables appeared successively. The continuum analysis method of the main structure of the suspension bridge has experienced the development stages of elastic theory and classical deflection theory. With the popularity of computers and computational mechanics, various discrete analysis methods have developed rapidly, which has effectively promoted the practice of modern long-span suspension...

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Problems solved by technology

[0003] The calculation and analysis of long-span suspension bridges need to consider the geometric nonlinear effects caused by the sag of the main cable. Usually, the segmented catenary and Hooke's law are used to iteratively find the form, or the main cable is assumed to be a parabola in the bridge state, and the stress The cable length and the horizontal tension of the main cable, and then use Hooke’s law to deduce the unstressed cable length of the main cable, so that the calculation of the geometric nonlinear problem is simplified. The error of the cable length and cable force caused by the above approximate calculation makes the long-span suspension bridge The structural force and shape are not uniform, and it is difficult to achieve the design alignment according to the construction monitoring of the stress-free method

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