具有静力确定界面的粘性阻尼结构的动态模型还原

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Lian-Kai Xu, Wei Wang, Wang-Bai Pan, Guo-An Tang
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引用次数: 0

摘要

针对具有静态确定界面的粘性阻尼结构(如航天器柔性附属装置),提出了一种新的模型还原方法。论文提出了这些结构的界面动态刚度的完整复模态展开推导。根据推导过程中获得的所有复模态的同一性关系,可以发现仅使用低阶复模态就可以用有理分数高精度地表示界面加速阻抗。使用这个有理分数作为近似模型,可以拟合频率响应的数值结果。拟合后的界面加速阻抗可作为传递函数形式的简化模型应用于实时控制。此外,还可以通过引入辅助变量,将其转换为系统矩阵的形式,然后参与装配的动态分析。简化过程避免了复杂的模态分析,只需要频率响应的结果。得益于传统有限元软件强大的频率响应分析能力,这种还原方法可用于实际工程应用中的大型复杂模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamic Model Reduction for Viscously Damped Structures with Statically Determinate Interfaces
A novel model reduction method for viscously damped structures with statically determinate interfaces, such as spacecraft flexible appendages, is proposed. The paper presents a derivation of the complete complex modal expansion of the interface dynamic stiffness of these structures. Based on the identity relation for all complex modes, which is obtained during the derivation, it is found that the interface acceleration impedance can be expressed as a rational fraction with high accuracy using only low-order complex modes. Using this rational fraction as an approximation model, numerical results of the frequency response can be fitted. The fitted interface acceleration impedance can be applied to real-time control as a reduced model in the form of a transfer function. Furthermore, it can be transformed into the form of system matrices by introducing auxiliary variables, which then participate in the dynamic analysis of the assembly. The reduction process circumvents complex modal analysis and necessitates only the results of frequency responses. Thanks to the powerful ability of conventional finite element software to perform frequency response analysis, this reduction method can be used for large-scale complex models in actual engineering applications.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
期刊介绍: ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.
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