Principal component analysis method for bearing uncertainty interval of heavy-load conveying chain device

Abstract

The invention discloses a principal component analysis method for a bearing uncertainty interval of a heavy-load transmission chain device. The method comprises the following steps: step 1, determining an uncertain domain expression according to an uncertain range of uncertain variables of the heavy-load transmission chain device and correlation among the uncertain variables; 2, mapping the uncertain domain expression from an original coordinate system to an intermediate coordinate system; 3, calculating an interval length expression of the uncertain domain expression mapped in the intermediate coordinate system; 4, calculating difference indexes of the uncertain variables; and step 5, determining an expression of the intermediate coordinate system by maximizing the difference index, and further obtaining an ellipsoid main coordinate axis. According to the method, the calculation efficiency of uncertainty analysis of the heavy-load conveying chain device can be effectively improved, and the difficulty of high-dimensional numerical calculation and optimization solution occurring when structural analysis and design such as structural uncertainty propagation analysis and reliability evaluation and optimization are carried out on the heavy-load conveying chain device subsequently is avoided to a certain extent.

Description

technical field [0001] The invention belongs to the technical field of dimensionality reduction, and in particular relates to a principal component analysis method for a load-carrying uncertainty interval of a heavy-duty conveyor chain device. Background technique [0002] Due to its high working efficiency and strong versatility, the heavy-duty conveyor chain device has become an important equipment in industrial and other fields. With the expansion of the operating field of the heavy-duty conveyor chain device, the loading position and load size of the heavy-duty conveyor chain device have certain uncertainties due to complex working conditions. At the same time, the complexity of the structure, working conditions, and loading of the heavy-duty conveyor chain device increases the difficulty of characterization of uncertain parameters and the amount of calculation. [0003] Considering the working environment, working mode, and structural complexity of the heavy-duty conve...

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Problems solved by technology

[0004] Traditional uncertainty analysis methods for heavy-duty conveyor chain devices are mostly probabilistic methods. However, probabilistic methods require a large amount of data in uncertainty analysis, and are difficult to apply to complex engineering problems with less uncertainty information. analyze

At the same time, there are a large number of uncertain variables in the loading problem of the heavy-duty conveyor chain device. When dealing with such problems, the existing methods have low calculation efficiency and long time, which greatly wastes calculation costs and resources.

[0005] In addition, most of the existing interval methods consider the Taylor method and the low-order perturbation approximation to improve the computational efficiency, but because the high-order terms are ignored, the calculation accuracy is reduced

And when faced with nonlinear problems and large uncertainties, existing methods often only give rough results, and with the increase of uncertain variables, the amount of calculation of existing methods will increase significantly

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