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An Eigenvalue Tracking Method for Wing Flutter Analysis

A technology of flutter analysis and eigenvalues, applied in complex mathematical operations, geometric CAD, etc., can solve problems such as disordered eigenvalues, and achieve the effects of improving accuracy, reducing the amount of calculation, and wide applicability

Active Publication Date: 2021-03-16
SOUTHEAST UNIV
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  • Application Information

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Problems solved by technology

[0003] Purpose of the invention: Aiming at the problem that the existing traditional algorithm solves the dynamic eigenvalue system and obtains out-of-order eigenvalues, the present invention provides a tracking method for the eigenvalues ​​of the dynamic eigenvalue system, which can obtain accurate eigenvalue change trends, and on-machine Wing flutter analysis and other application directions have outstanding advantages

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  • An Eigenvalue Tracking Method for Wing Flutter Analysis
  • An Eigenvalue Tracking Method for Wing Flutter Analysis
  • An Eigenvalue Tracking Method for Wing Flutter Analysis

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Embodiment Construction

[0024] The technical solutions of the present invention will be further described below with reference to the accompanying drawings and examples.

[0025] Considering a quantitative problem of a binary wings model, this is a typical aerodynamic elastic system whose system feature value varies with the change of the flow rate. Taking this model as an example, the feature value tracking method provided by the present invention will be described in detail. The binary wing section model uses a non-frequencies approximated by the first-order PAde approximately Theodorsen pneumatic theory to calculate the aerodynamic load of the wing section. The feature value analysis of the aerobilizing system of the variable is constructed, and the eigen value analysis is performed and the frequency damping has changed with the change of the reduced rate. Its characteristic analysis results figure 2 Indicated. figure 2 The left picture is the reduced speed - frequency curve, the right picture shows...

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Abstract

The invention discloses a characteristic value tracking method for aerofoil flutter analysis, which comprises the following steps of: (1) performing characteristic value analysis on a wing structure at the current moment to obtain a left characteristic vector matrix and a right characteristic vector matrix; (2) at the next speed moment, obtaining a changed system matrix, performing eigenvalue analysis on the system matrix, performing orthogonal test on the obtained left eigenvector matrix and the right eigenvector matrix at the previous moment, and performing orthogonal test on the obtained right eigenvector matrix and the left eigenvector matrix at the previous moment to obtain an orthogonal test matrix; and (3) sorting the elements in the orthogonal test matrix from large to small, and correspondingly sorting the characteristic values before and after change. Based on the left and right eigenvector matrixes of the system matrix, the absolute orthogonality of the left and right eigenvector matrixes is utilized to accurately track the change trend of the system eigenvalue, and the method has practical engineering significance.

Description

Technical field [0001] The present invention relates to the field of dynamic system eigenvalue analysis techniques, and more particularly to a feature value tracking method for wing fibrillation analysis. Background technique [0002] In aerospace engineering, it is very important to get a steady perspective of wing fibrillation, and wing fibrillation analysis directly determines the safe flight package of the aircraft. Wing fuse analysis is a dynamic eigenvalue problem, that is, the dynamic characteristics of the system change over time. However, traditional algorithms solve the characteristic value of the change will have a chart. Therefore, how to obtain an accurate characteristic change trend in the calculated chase characteristic value, help engineers and researchers correctly understand the dynamic characteristics of the time-varying feature system, thus identifying accurate tremor boundaries, with practical engineering significance . Inventive content [0003] Apparatus: ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/15G06F17/16
CPCG06F17/16
Inventor 费庆国杭晓晨李彦斌姜东蒋令闻
Owner SOUTHEAST UNIV