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

• 来源期刊: 中国科学:物理学 力学 天文学（英文版）
• 年，卷（期）: 2017,（9）
• 页码范围: 47-62
• 页数: 16页
• 语种: 英文
• DOI: 10.1007/s11433-017-9068-5

摘要

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.