对称结构分析的一种新的群论方法  

A new group theory method for analysis of symmetric structures

作　　者：吴锋[1,2] 李昱葶 彭海军[1,2] WU Feng;LI Yuting;PENG Haijim(State Key Laboratory of Structural Analysis of Industrial Equipmen;Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,Liaoning,China)

机构地区：[1]大连理工大学工程力学系 [2]工业装备结构分析国家重点实验室,辽宁大连116024

出　　处：《计算机辅助工程》2018年第4期1-6,21,共7页Computer Aided Engineering

基　　金：国家自然科学基金(11772074;11472069;11472067;51609034)

摘　　要：传统群论方法涉及特征标表、不可约表示、投影算子等高等数学理论,计算格式复杂,为此提出一种新的群论方法,该方法仅涉及群论的基本概念,无须掌握高深的数学知识,计算格式简单灵活。数值算例表明,本文方法理论可靠、计算结果正确。The classical group theory method involves some advanced mathematical theories # such ascharacter table, irreducible representation# projection operator and so on. Its computational scheme iscomplex. To deal with this disadvantage, a new group theory method is devemethod involves only the basic group definition, and the advanced mathematicacomputational scheme is easy and flexible. Numerical examples showthat the on a reliable theory and can give correct computational results.

关 键 词：对称结构 群论 结构分析 

分 类 号：TU312.1[建筑科学—结构工程]