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Multi-discipline uncertainty propagation analysis method based on Newton iteration

An uncertainty and Newton iteration technology, applied in the field of multidisciplinary uncertainty propagation analysis based on Newton iteration, can solve problems such as large errors, reduce calculation time, save calculation costs, and reduce dependencies

Active Publication Date: 2017-06-20
BEIHANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, when the system nonlinear degree is high, the errors of these methods are large

Method used

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  • Multi-discipline uncertainty propagation analysis method based on Newton iteration
  • Multi-discipline uncertainty propagation analysis method based on Newton iteration
  • Multi-discipline uncertainty propagation analysis method based on Newton iteration

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Embodiment 1

[0047] In order to fully understand the characteristics of the invention and its applicability to engineering practice, the present invention uses a two-discipline coupling system to carry out uncertainty propagation analysis, and the relationship between variables is expressed as:

[0048]

[0049] Table 1 shows the uncertainty information of the input parameters in the embodiment. In this embodiment, four deviation coefficients of 0.025, 0.050, 0.075, and 0.100 are used for calculation, and the analytical solution is used as a comparison, and the fixed point Iterative methods were compared with sensitivity-based methods.

[0050] Table 1

[0051]

[0052]

[0053] The specific results are shown in Table 2:

[0054] Table 2

[0055]

[0056] It can be seen from Table 2 that the results obtained by the multidisciplinary uncertainty propagation analysis method based on fixed point iteration have serious interval expansion, which is not applicable to some problems. M...

Embodiment 2

[0058] In order to fully understand the characteristics of the invention and its applicability to engineering practice, the multidisciplinary uncertainty propagation analysis method based on Newton iteration is used to verify its effectiveness through a typical wing static aeroelastic problem. For a rigid wing in incompressible flow, the up and down translation of the wing has no effect on the aerodynamic moment, so the problem can be simplified as Figure 4 The model shown. In this embodiment, the angle of attack and aerodynamic moment of the wing are coupled state variables, and the multidisciplinary analysis model can be written as:

[0059]

[0060] where M 0 is the zero-lift moment, α is the angle of attack of the wing, α 0 is the zero-liter angle of attack, is the lift line slope, q is the incoming flow pressure and ρ is the air density, v is the incoming flow velocity, e is the distance from the aerodynamic center to the elastic axis, K α is the stiffness of t...

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Abstract

The invention discloses a multi-discipline uncertainty propagation analysis method based on Newton iteration and belongs to the field of multi-discipline uncertainty propagation analysis. The multi-discipline uncertainty propagation analysis method comprises the following steps: firstly, reasonably characterizing uncertainty parameters under conditions of poor information and less data by utilizing an interval as shown in the description; secondly, setting initial upper and lower bounds shown in the description of a suitable coupling variable, wherein the initial value of k is 1; thirdly, carrying out single-discipline optimization to obtain upper and lower bounds of y(k+1), wherein y(k+1) is a value of y obtained in the kth time of circulating; and finally, calculating residual parameters and judging whether residual parameters are converged or not; if so, outputting a responding interval of a coupling state variable; otherwise, carrying out the next time of circulating until the residual parameters are converged. A numerical example shows that the multi-discipline uncertainty propagation analysis method based on the Newton iteration can be used for obtaining an accurate coupling variable responding interval under certain conditions; and compared with a fixed point iteration method, the convergence speed is higher and a new method is provided for the multi-discipline uncertainty propagation analysis.

Description

technical field [0001] The invention relates to multidisciplinary uncertainty analysis, in particular to a multidisciplinary uncertainty propagation analysis method based on Newton iteration. Background technique [0002] Multidisciplinary design Optimum design shows great potential in dealing with complex engineering problems, designers can grasp the coupling effect and synergistic effect between disciplines to improve the design. However, various uncertainties are caused in practical engineering due to lack of knowledge, random material properties, design and manufacturing flaws, different loading conditions, etc. With the rapid development of modern technology and the increasing requirements for the robustness and safety of engineering systems, uncertainty-based multidisciplinary optimization design has quickly become an important branch of multidisciplinary optimization design. [0003] Multidisciplinary uncertainty propagation analysis is an important part of uncertain...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/3323G06F2111/06G06F2111/08G06F2111/10
Inventor 王磊熊闯王睿星王晓军
Owner BEIHANG UNIV
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