结构动特性分析的超单元法  

A SUPER-ELEMENT METHOD FOR VIBRATION CHARACTERISTIC ANALYSIS OF STRUCTURES

作　　者：陈国平[1] 朱德懋[1] 

机构地区：[1]南京航空学院振动工程研究所,南京210016

出　　处：《航空学报》1992年第9期A465-A471,共7页Acta Aeronautica et Astronautica Sinica

摘　　要：提出一种超单元法,将一个细化的静力学有限元模型转化为反映整体性能的动力学有限元模型。这里定义的超单元具有子结构和协调有限元双重特性。生成了刚性超结点和弹性超结点,以及3刚性超结点和4刚性超结点超单元,从而为构造超单元模型奠定了基础,实现了建模的一致性。算例表明本文提出的超单元法是对动力学有限元模型的精确描述,算法的计算效率高,工程适用性好。A super-element method based on the common finite element model is developed to analyze the vibration characteristics of structures. This method transforms a common complex static finite element model into a dynamic one which can reflect the whole characteristics of the structures. The saper-element defined here possesses double properties of sub-structure and harmonious finite element. Some simplified reduction methods are used in the internal domains of the super-elements, and rigid super-points or elastic super-points are introduced on the boundary areas. The super-elements which have three or four rigid super-points are also formed. This lays the foundation of dynamic finite element modeling and achieves the consistence of modeling between static and dynamic states. Some numerical examples verify that the super-element method is an accurate description for the dynamic finite element model, has high efficiency, and has good suitability in engineering structure analysis.

关 键 词：有限元 建模 结构振动 超单元法 

分 类 号：V214.1[航空宇航科学与技术—航空宇航推进理论与工程]