模型降阶的机理探讨及几种新方法
An Investigatio on the Mechanism and Technique of Order-Reduction of Mathematical Models
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摘要: 本文从机理和实现两方面研究模型降阶问题.提出了在降阶模型中"中、低频段分别处 理"和"有限信息资源合理分配"的原则,介绍了由此导出的几种新的模型降阶方法.新方法具 有物理概念踢确,计算简单易行,所得到的降阶模型在宽广的频带内有较高的逼近精度等优 点,适合于工程应用.Abstract: In this paper an attempt is made to probe into both the mechanism and some new computational methods of model-reduction. The principle of an optimal allotment of information resources in a reduced-order model and the technique of separate treatment for middle-frequency and low-frequency ranges are presented. Several methods and algorithms based upon these concepts are offered. Results of computation show convinoingly that these new methods of model-reduction are superior to the current methods from the point-of-view of a better similitude to the original model over a wide range of frequency. They are also simple to use and versatile in engineering application.
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