Dynamic analysis and correlation propagation of the multibody system considering correlated interval parameters

IF 3.2 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-09-13 DOI:10.1016/j.ijnonlinmec.2025.105261

Xin Jiang, Qiang Zhang, Wenhan Cao, Xuqiang Dou

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引用次数: 0

Abstract

Interval uncertainty quantification for multibody systems has gained increasing attention due to complex requirements in the dynamic analysis of virtual prototypes. It is important to carefully consider the correlation between input interval parameters to avoid overestimating predictions, which can happen in traditional interval analysis that assumes parameters are mutually independent. This study introduced a new method that propagates multiple interval parameters with large uncertainty levels in multibody systems. The method combines local mean decomposition and bivariate function decomposition with Chebyshev polynomials to create a coupled surrogate model. This model can envelope the examined interval response and calculate response correlation coefficients. Numerical examples are provided to demonstrate the effectiveness of the method. The results showed that the proposed approach efficiently handles multiple interval parameters with significant uncertainty in the dynamic analysis of a multibody system.

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考虑相关区间参数的多体系统动态分析及相关传播

由于虚拟样机动力学分析的复杂要求，多体系统的区间不确定性量化越来越受到人们的关注。重要的是仔细考虑输入区间参数之间的相关性，以避免高估预测，这可能发生在传统的区间分析中，假设参数是相互独立的。本文提出了一种在多体系统中传播具有大不确定度的多个区间参数的新方法。该方法将局部均值分解和二元函数分解与切比雪夫多项式相结合，建立耦合代理模型。该模型可以包络所测区间的响应并计算响应相关系数。数值算例验证了该方法的有效性。结果表明，该方法能有效地处理多体系统动力学分析中存在较大不确定性的多个区间参数。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.