A novel method of Newton iteration-based interval analysis for multidisciplinary systems

Lei Wang; Chuang Xiong; Rui Xing Wang; Xiao Jun Wang; Di Wu

doi:10.1007/s11433-017-9068-5

A novel method of Newton iteration-based interval analysis for multidisciplinary systems

Lei Wang^*
, Chuang Xiong
, Rui Xing Wang
, Xiao Jun Wang
, Di Wu

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University
China Aerospace Science and Technology Corporation

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

A Newton iteration-based interval uncertainty analysis method (NI-IUAM) is proposed to analyze the propagating effect of interval uncertainty in multidisciplinary systems. NI-IUAM decomposes one multidisciplinary system into single disciplines and utilizes a Newton iteration equation to obtain the upper and lower bounds of coupled state variables at each iterative step. NI-IUAM only needs to determine the bounds of uncertain parameters and does not require specific distribution formats. In this way, NI-IUAM may greatly reduce the necessity for raw data. In addition, NI-IUAM can accelerate the convergence process as a result of the super-linear convergence of Newton iteration. The applicability of the proposed method is discussed, in particular that solutions obtained in each discipline must be compatible in multidisciplinary systems. The validity and efficiency of NI-IUAM is demonstrated by both numerical and engineering examples.

Original language	English
Article number	094611
Journal	Science China: Physics, Mechanics and Astronomy
Volume	60
Issue number	9
DOIs	https://doi.org/10.1007/s11433-017-9068-5
State	Published - 1 Sep 2017

Keywords

Newton iteration
insufficient sample data
interval uncertainty analysis method
multidisciplinary systems
uncertainty propagation

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10.1007/s11433-017-9068-5

Cite this

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title = "A novel method of Newton iteration-based interval analysis for multidisciplinary systems",

abstract = "A Newton iteration-based interval uncertainty analysis method (NI-IUAM) is proposed to analyze the propagating effect of interval uncertainty in multidisciplinary systems. NI-IUAM decomposes one multidisciplinary system into single disciplines and utilizes a Newton iteration equation to obtain the upper and lower bounds of coupled state variables at each iterative step. NI-IUAM only needs to determine the bounds of uncertain parameters and does not require specific distribution formats. In this way, NI-IUAM may greatly reduce the necessity for raw data. In addition, NI-IUAM can accelerate the convergence process as a result of the super-linear convergence of Newton iteration. The applicability of the proposed method is discussed, in particular that solutions obtained in each discipline must be compatible in multidisciplinary systems. The validity and efficiency of NI-IUAM is demonstrated by both numerical and engineering examples.",

keywords = "Newton iteration, insufficient sample data, interval uncertainty analysis method, multidisciplinary systems, uncertainty propagation",

author = "Lei Wang and Chuang Xiong and Wang, \{Rui Xing\} and Wang, \{Xiao Jun\} and Di Wu",

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AU - Wang, Lei

AU - Xiong, Chuang

AU - Wang, Rui Xing

AU - Wang, Xiao Jun

AU - Wu, Di

PY - 2017/9/1

Y1 - 2017/9/1

N2 - A Newton iteration-based interval uncertainty analysis method (NI-IUAM) is proposed to analyze the propagating effect of interval uncertainty in multidisciplinary systems. NI-IUAM decomposes one multidisciplinary system into single disciplines and utilizes a Newton iteration equation to obtain the upper and lower bounds of coupled state variables at each iterative step. NI-IUAM only needs to determine the bounds of uncertain parameters and does not require specific distribution formats. In this way, NI-IUAM may greatly reduce the necessity for raw data. In addition, NI-IUAM can accelerate the convergence process as a result of the super-linear convergence of Newton iteration. The applicability of the proposed method is discussed, in particular that solutions obtained in each discipline must be compatible in multidisciplinary systems. The validity and efficiency of NI-IUAM is demonstrated by both numerical and engineering examples.

AB - A Newton iteration-based interval uncertainty analysis method (NI-IUAM) is proposed to analyze the propagating effect of interval uncertainty in multidisciplinary systems. NI-IUAM decomposes one multidisciplinary system into single disciplines and utilizes a Newton iteration equation to obtain the upper and lower bounds of coupled state variables at each iterative step. NI-IUAM only needs to determine the bounds of uncertain parameters and does not require specific distribution formats. In this way, NI-IUAM may greatly reduce the necessity for raw data. In addition, NI-IUAM can accelerate the convergence process as a result of the super-linear convergence of Newton iteration. The applicability of the proposed method is discussed, in particular that solutions obtained in each discipline must be compatible in multidisciplinary systems. The validity and efficiency of NI-IUAM is demonstrated by both numerical and engineering examples.

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KW - insufficient sample data

KW - interval uncertainty analysis method

KW - multidisciplinary systems

KW - uncertainty propagation

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DO - 10.1007/s11433-017-9068-5

M3 - 文章

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A novel method of Newton iteration-based interval analysis for multidisciplinary systems

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Keywords

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