Large uncertainty crane system variable amplitude angle prediction method based on sub-interval theory

Abstract

The invention discloses a large uncertainty crane system variable amplitude angle prediction method based on a subinterval theory. The method comprises the following steps: establishing a variable amplitude angle equation under variable amplitude motion; establishing a large-interval model; converting into a variable-amplitude angle equivalent equation with a large-interval model; establishing a sub-interval model according to a sub-interval theory; converting into a variable amplitude angle equivalent equation with a sub-interval model, a sub-interval composite function vector and a sub-interval variable amplitude angle vector; obtaining an approximate expansion expression of a subinterval composite function vector; substituting the approximate expansion expression of the sub-interval composite function vector into a variable-amplitude angle equivalent equation with a sub-interval model to obtain a midpoint value, an interval radius, a lower bound value and an upper bound value of a variable-amplitude angle vector; and obtaining a lower bound value and an upper bound value of the variable-amplitude angle vector of the multi-transportation system with the large-interval model according to an interval merging algorithm. According to the method, the problem of amplitude-variable angle response domain analysis under the condition that a crane system contains inter-cell structure parameters can be solved, and the calculation precision and the operation efficiency are effectively improved.

Description

technical field [0001] The invention belongs to the technical field of reliability, is especially suitable for a crane system, and specifically relates to a method for predicting the luffing angle of a crane system with large uncertainty based on the subinterval theory. Background technique [0002] In recent years, with the development of heavy-duty engineering, double-crane systems have been widely used in heavy-duty hoisting engineering. If the influence of uncertain factors such as inherent mechanical errors (such as design errors, hinge clearances, etc.) in the crane system is ignored, once the safety threshold is exceeded, it will bring serious safety hazards and even major safety accidents. [0003] The interval analysis method is an effective method to study the bounded uncertainty of the luffing angle of the double crane system, but the research of this method is only for the interval parameters with small uncertainties, and the problem of large uncertainties is not...

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Problems solved by technology

[0005] The purpose of the present invention is to make up for the defects of the prior art, and to provide a large uncertainty crane system luffing angle prediction method based on the subinterval theory, so as to solve the problem of how to quickly and efficiently predict the large uncertainty of the double truck crane system in the prior art. Solving Problems of Variable Amplitude Angle with Deterministic Interval Parameters

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