Numerical analysis of the large deflection of an elastic-plastic beam

被引：1

作者：

Hong, G ^{[1
]}

机构：

[1] Anhui Inst Architecture, Dept Construct Engn, Hefei 230022, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2000年 / 21卷 / 06期

关键词：

elastic-plastic; large deflection; layered approach; total Lagrange formula; modified Newton-Raphson method;

D O I：

10.1007/BF02460189

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The layered approach was adopted to study the numerical procedure of the large deflection of art elastic-plastic Timoshenko' s beam, and the nonlinear equilibrium equation was derived by TL Formula. The solution was conducted by means of mNR method. The tangential stiffness matrix of the beam,vas introduced, and the solving procedures were presented in detail. The solution of the problem is satisfactory.

引用

页码：699 / 706

页数：8

共 10 条

[1]

FRISHFAY R, 1962, FLEXIBLE BARS

[2]

HONG G, 1993, J ANHUI INS ARCH, V1, P68

[3]

LIU ZX, 1984, COMP STR MECH APPL, V1, P49

[4]

LU HX, 1992, NONLINEAR FINITE ELE, P308

[5]

OWEN D R J, 1980, FINITE ELEMENTS PLAS, P121

[6] THE ELASTIC CATENARY [J].

WANG, CY ;

WATSON, LT .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1982, 24 (06) :349-357

[7] FOLDING OF ELASTICA-SIMILARITY SOLUTIONS [J].

WANG, CY .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1981, 48 (01) :199-200

[8] ON THE LARGE DEFORMATIONS OF C-SHAPED SPRINGS [J].

WANG, CY ;

WATSON, LT .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1980, 22 (07) :395-400

[9]

Wu Xiaoqiang, 1986, Acta Mechanica Sinica, V18, P516

[10]

ZHU J, 1987, APPL MATH MECH, V8, P1169

← 1 →