基于局域波分解的大系统派生模态降维研究

A Better Model Reduction Algorithm for Large-Scale Systems Using Derived Modal Based on Local Wave Decomposition

文章分析了当前以平衡与截裁为代表的大系统降维理论,鉴于其内容不尽完善,因此基于系统运动模态的特征,在科技与哲理的辩证分析基础上,建立了大系统派生模态理论和组合降维模型。对于工程实际中的系统响应曲线,提出了基于局域波分解的大系统派生模态提取策略实现系统降维。仿真结果表明,基于模态和图形的协同算法应用简便,并可获得较高精度的降维模型。

Aim. The introduction of the full paper points out what we believe to be the three imperfections of existing model reduction algofitbms. So we propose what we believe to be a better one. Section I defines the derived modal, which is a new technical term introduced by us; then it defines the combined reduction model, which is also a new technical term introduced by us and is mathematically eq. （4）. For the model reduction of a system response curve, section 2 presents a dcriw：d modal extraction approach based on local wave decomposition; in it, eq. （6） is taken from Ref. 6 and eq. （7） is derived by us ; finally it gives a three-step procedure for implementing the derived modal extraction approach. Section 3 gives a simulation example, whose results are given in Figs. 2 through 6. These resuhs sbow prelirainarily that the cornbined model reduction algorithm proposed by us is more facile and precise than the existing ones.