Method for determining equivalent pretension of inhaul cable

Abstract

The invention discloses an inhaul cable equivalent pretension determination method which is based on a nonlinear implicit equation structure and a steffensen iteration method, and under the condition that a structural load and a supporting state are known, a cable force value of an inhaul cable in a load state is taken as a target, a geometric nonlinear effect is considered, and the equivalent pretension of the inhaul cable is determined. The method comprises the following steps: converting an inhaul cable equivalent pretension determination problem into a problem of solving a plurality of relatively independent nonlinear implicit equations, constructing an iterative formula of equivalent pretension based on a steffensen iterative method principle, and carrying out loop iteration solving to obtain a group of inhaul cable equivalent pretension of which the cable force error is within an allowable error range. The method has the advantages of few iterations, short solving time, convergence efficiency of more than two orders, high applicability and outstanding calculation efficiency and stability, and is widely suitable for determining the equivalent pretension of the inhaul cables of various prestressed structures.

Description

technical field [0001] The invention relates to the technical field of prestressed structures, and in particular to a method for determining the equivalent pretension of a cable. Background technique [0002] The cable equivalent pretension of the prestressed structure is an unbalanced force exerted on the cable unit in the form of initial strain or equivalent temperature difference. It is mainly used in the simulation analysis of the whole process of prestressed cable construction. The problem of determining the equivalent pretension of the cable is: when the actual cable force value of the cable is known under a certain load state, the problem of solving the equivalent pretension that should be applied to the cable is solved. This is the shape analysis of the prestressed structure. It is one of the key issues in the theory, and it is also the basis for the construction simulation analysis of prestressed structures. [0003] At present, the determination of the equivalent ...

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Problems solved by technology

[0005] Aiming at the deficiencies of the prior art, the present invention provides a method for determining the equivalent pretension of a cable. Aiming at the shortcomings of the current method for determining the equivalent pretension of prestressed structures, such as large limitations, poor stability, and low calculation efficiency, the applicability of this method is Strong, stable calculation and high calculation efficiency

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