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Improved nonlinear POD dimension reduction method based on transient time sequence

A transient time, nonlinear technology, applied in the field of dynamic dimensionality reduction, can solve the problem of ignoring free vibration information, and achieve the effect of high applicability and accuracy, low computational complexity, and simple model construction

Pending Publication Date: 2020-07-03
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

But the traditional POD method ignores the free vibration information

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  • Improved nonlinear POD dimension reduction method based on transient time sequence
  • Improved nonlinear POD dimension reduction method based on transient time sequence
  • Improved nonlinear POD dimension reduction method based on transient time sequence

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[0050] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0051] Under the given initial conditions, the transient process of the system is a complex process including free vibration information and forced vibration information. Therefore, an improved nonlinear dimensionality reduction POD method based on transient time series is proposed: use the dimensionality reduction method to obtain a set of principal components from the transient process of the system, compose the first and second principal components into the projection space, and Project the original system into this space. From this, we get an approximate equivalent model of the two-degree-of-freedom system. This method can be used for target approximation of high-dimensional nonlinear systems.

[0052]Based on the defects and deficiencies of the existing methods, the invention perfects the transient POD method in the deterministic system, verifies...

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Abstract

The invention provides an improved nonlinear POD dimension reduction method based on a transient time sequence. Firstly, principal components are extracted from high-dimensional data, the obtained principal components are dimensionless, a dynamic vibration model after dimensionality reduction is obtained, a set of principal components are obtained from the transient process of the system through adimensionality reduction method, the first principal component and the second principal component form a projection space, and the original system is projected into the space. Compared with an original high-dimensional system, the method has the advantages of being simple, simple in model construction, small in calculation complexity, high in applicability and accuracy and capable of being widelyapplied to a multi-degree-of-freedom nonlinear rotor system. By comparing the obtained calculation result with the actual result, the obtained data error is within 5%.

Description

technical field [0001] The invention relates to the technical field related to dynamic dimensionality reduction, in particular to a nonlinear POD dimensionality reduction method. Background technique [0002] With the development of science and technology, scientific research workers are more and more in-depth research on large rotating machinery, such as aero engines, gas turbines and so on. The main body of these large rotating machines is the rotor-bearing system, which is characterized by complexity, nonlinearity and high degrees of freedom. The above characteristics directly lead to the difficulty of qualitative analysis of such systems, such as stability analysis and singularity analysis, and the calculation cost is extremely expensive. Therefore, it is necessary to reduce the dimension of such systems and replace the original model with the obtained simplified model for analysis. [0003] The POD method is an effective and powerful data analysis method, which can fin...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F30/17G06K9/62
CPCG06F18/2135
Inventor 路宽简巍曾学奇赵仕博
Owner NORTHWESTERN POLYTECHNICAL UNIV
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