GEOMETRIC STIFFNESS MATRIX FOR SPACE FRAMES

被引：26

作者：

SPILLERS, WR

机构：

[1] Department of Civil Engineering, Rensselaer Polytechnic Institute, Troy

来源：

COMPUTERS & STRUCTURES | 1990年 / 36卷 / 01期

关键词：

D O I：

10.1016/0045-7949(90)90171-W

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 [计算机应用技术]; 0835 [软件工程];

摘要：

A method of nonlinear analysis for three-dimensional frames based on a Taylor series approach to the equations of equilibrium is described. A nonsymmetric geometric structural stiffness is derived for the case of large rotations but small rotational strain. Its lack of symmetry is argued from the fact that finite rotations are not commutative under addition. Three examples are included. © 1990.

引用

收藏

页码：29 / 37

页数：9

相关论文

共 14 条

[1]

GEOMETRICAL STIFFNESS OF A BEAM IN SPACE - CONSISTENT VW APPROACH [J].

ARGYRIS, JH ;

HILPERT, O ;

MALEJANNAKIS, GA ;

SCHARPF, DW .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 20 (01) :105-131

[2]

LARGE DISPLACEMENT SMALL STRAIN ANALYSIS OF STRUCTURES WITH ROTATIONAL DEGREES OF FREEDOM [J].

ARGYRIS, JH ;

DUNNE, PC ;

MALEJANNAKIS, G ;

SCHARPF, DW .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1978, 15 (01) :99-135

[3]

LARGE DISPLACEMENT SMALL STRAIN ANALYSIS OF STRUCTURES WITH ROTATIONAL DEGREES OF FREEDOM [J].

ARGYRIS, JH ;

DUNNE, PC ;

SCHARPF, DW .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1978, 14 (03) :401-451

[4]

LARGE DISPLACEMENT ANALYSIS OF 3-DIMENSIONAL BEAM STRUCTURES [J].

BATHE, KJ ;

BOLOURCHI, S .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1979, 14 (07) :961-986

[5]

NONLINEAR FRAME ANALYSIS BY FINITE-ELEMENT METHODS [J].

CHAJES, A ;

CHURCHILL, JE .

JOURNAL OF STRUCTURAL ENGINEERING-ASCE, 1987, 113 (06) :1221-1235

[6]

FRIEDLAND LR, 1971, THESIS COLUMBIA U

[7]

GOLDSTEIN H, 1957, CLASSICAL MECHANICS, P133

[8]

Green A.E., 1968, INT J SOLIDS STRUCT, V4, P555

[9]

KAPLAN W, 1953, ADV CALCULUS

[10]

NOBLE B, 1969, APPLIED LINEAR ALGEB, P421