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Influences of system uncertainties on the numerical transfer path analysis of engine systems

机译：系统不确定性对发动机系统数值传递路径分析的影响

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摘要

Practical mechanical systems operate with some degree of uncertainty. In numerical mod-els uncertainties can result from poorly known or variable parameters, from geometrical approximation, from discretization or numerical errors, from uncertain inputs or from rapidly changing forcing that can be best described in a stochastic framework. Recently, random matrix theory was introduced to take parameter uncertainties into account in numerical modeling problems. In particular in this paper, Wishart random matrix theory is applied on a multi-body dynamic system to generate random variations of the properties of system components. Multi-body dynamics is a powerful numerical tool largely imple-mented during the design of new engines. In this paper the influence of model parameter variability on the results obtained from the multi-body simulation of engine dynamics is investigated. The aim is to define a methodology to properly assess and rank system sources when dealing with uncertainties. Particular attention is paid to the influence of these uncertainties on the analysis and the assessment of the different engine vibration sources. Examples of the effects of different levels of uncertainties are illustrated by means of examples using a representative numerical powertrain model. A numerical transfer path analysis, based on system dynamic substructuring, is used to derive and assess the internal engine vibration sources. The results obtained from this analysis are used to derive corre-lations between parameter uncertainties and statistical distribution of results. The derived statistical information can be used to advance the knowledge of the multi-body analysis and the assessment of system sources when uncertainties in model parameters are considered.
机译：实际的机械系统在一定程度上具有不确定性。在数字模型中，不确定性可能是由不知名的或可变的参数，几何近似，离散化或数值误差，不确定的输入或快速变化的强迫（在随机框架中最好地描述）引起的。最近，引入随机矩阵理论以在数值建模问题中考虑参数不确定性。特别是在本文中，将Wishart随机矩阵理论应用于多体动力学系统，以生成系统组件属性的随机变化。多体动力学是一种功能强大的数值工具，主要在新发动机的设计过程中实现。本文研究了模型参数可变性对从发动机动力学多体仿真获得的结果的影响。目的是定义一种方法，以在处理不确定性时适当评估和排序系统源。要特别注意这些不确定性对不同发动机振动源的分析和评估的影响。通过使用代表性数值动力系模型的示例来说明不同程度不确定性的影响的示例。基于系统动态子结构的数值传递路径分析可用于得出和评估发动机内部振动源。从该分析获得的结果可用于得出参数不确定性与结果的统计分布之间的相关性。当考虑模型参数的不确定性时，导出的统计信息可用于提高多体分析和系统源评估的知识。

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