具有连通性约束的无阻尼陀螺系统的模型更新

IF 1.8 4区 数学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Hairui Zhang, Yongxin Yuan
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引用次数: 1

摘要

摘要有限元模型更新问题的一个重要而困难的方面是使更新后的模型具有物理意义,也就是说,原始模型的连通性应该保留在更新后的建模中。在许多实际应用中,用有限元技术对分布参数系统进行离散化所生成的系统矩阵往往非常大且稀疏,并且具有一些特殊的结构,如对称和带结构(对角、三对角、五对角、七对角等),研究了具有连通性约束的无阻尼陀螺系统的模型更新问题。所提出的方法不仅保留了原始模型的连通性,而且可以更新具有不同带宽的分析矩阵,可以满足不同结构动态模型更新问题的需要。数值结果表明了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Model updating for undamped gyroscopic systems with connectivity constraints
ABSTRACT An important and difficult aspect for the finite element model updating problem is to make the updated model have physical meaning, that is, the connectivity of the original model should be preserved in the updated model. In many practical applications, the system matrices generated by discretization of a distributed parameter system with the finite element techniques are often very large and sparse and are of some special structures, such as symmetric and band structure (diagonal, tridiagonal, pentadiagonal, seven-diagonal, etc.). In this paper, the model updating problem for undamped gyroscopic systems with connectivity constraints is considered. The method proposed not only preserves the connectivity of the original model, but also can update the analytical matrices with different bandwidths, which can meet the needs of different structural dynamic model updating problems. Numerical results illustrate the efficiency of the proposed method.
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来源期刊
CiteScore
3.80
自引率
5.30%
发文量
7
审稿时长
>12 weeks
期刊介绍: Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems. The journal brings together engineers and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, papers aim to be accessible to readers who are not necessarily experts in the specific area of application. MCMDS welcomes original articles on a range of topics including: -methods of modelling and simulation- automation of modelling- qualitative and modular modelling- data-based and learning-based modelling- uncertainties and the effects of modelling errors on system performance- application of modelling to complex real-world systems.
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