CYCLE BASES OF MINIMAL MEASURE FOR STRUCTURAL-ANALYSIS OF SKELETAL STRUCTURES BY FLEXIBILITY METHOD

被引:25
作者
CASSELL, AC [1 ]
HENDERSON, JCD [1 ]
RAMACHANDRAN, K [1 ]
机构
[1] IMPERIAL COLL,DEPT CIVIL ENGN,LONDON SW7,ENGLAND
来源
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1976年 / 350卷 / 1660期
关键词
D O I
10.1098/rspa.1976.0095
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
After an introduction to flexibility analysis and a brief review of earlier work using combinatorics, the paper presents a procedure to construct a finite sub-set of the cycle vector space containing the elements of all minimal bases. This makes the generation of the required basis feasible by a finite procedure, such as Welsh's generalization of the Kruskal algorithm.
引用
收藏
页码:61 / 70
页数:10
相关论文
共 14 条
[1]  
BING RH, 1964, LECTURES MODERN MATH, V2
[2]  
Cassell A. C., 1974, International Journal for Numerical Methods in Engineering, V8, P521, DOI 10.1002/nme.1620080308
[3]  
EDWARDS AH, 1963, 10 IMP COLL INT REP
[4]  
Henderson CJ, 1960, AIRCRAFT ENG, V32, P137
[5]  
Henderson J.C., 1955, AIRCRAFT ENG, V27, P400
[6]  
Henderson J. C. de C., 1969, IMA J APPL MATH, V5, P254
[7]  
Kirchhoff G., 1847, ANN PHYS-NEW YORK, V148, P497, DOI [10.1002/andp.18471481202, DOI 10.1002/ANDP.18471481202]
[8]   Tensorial analysis and equivalent circuits of elastic structures [J].
Kron, G .
JOURNAL OF THE FRANKLIN INSTITUTE, 1944, 238 :399-442
[9]  
LANGEFORS B, 1959, SAAB43 TECH NOT
[10]  
LANGEFORS B, 1961, SAAB49 TECH NOT