A unified derivation and critical review of modal approaches to model reduction
A unified derivation and critical review of modal approaches to model reduction
复制标题
模型简化模态方法的统一推导和严格审查
DOI：
10.1080/00207178208922657
复制
发表时间：
1982
影响因子：
2.1
通讯作者：
D. Mellichamp
中科院分区：
文献类型：
--
作者：
D. Bonvin;D. Mellichamp
最常用的模态降阶技术中的六种通过连接输入和状态变量的信号流图来表示。在这种表示中，各种方法的推导和交叉比较非常方便。然后分析每种方法以确定关键特征，即（i）稳态协议，（ii）初始值协议，（iii）简化模型对保留状态变量和输入的选择的独立性，以及（iv）本征向量方向。现实的，大规模的系统被用来评估静态和动态特性的每一个模型的减少方法数值。这些研究揭示了几种传统技术的一些重要的，但往往未被认识到的弱点，并证实了新开发的利兹技术的优势。
Six of the most commonly-used modal reduction techniques are represented by means of signal flow diagrams connecting inputs and state variables. In this representation, the derivation and the cross-comparison of the various methods are greatly facilitated. Each method is then analysed to determine key characteristics, i.e. (i) steady-state agreement, (ii) initial-value agreement, (iii) independence of the reduced model on the choice of retained state variables and inputs, and (iv) eigen vector orientation. Realistic, large-scale systems are used to evaluate the static and dynamic characteristics of each model reduction method numerically. These studies reveal some important, and often unrecognized, weaknesses of several traditional techniques and confirm the strength of the newly-developed technique of Litz.