Static and dynamic analysis of flexible beams: A consistent updated Lagrangian formulation

被引：4

作者：

Behdinan, K

Stylianou, MC

Tabarrok, B

机构：

[1] Dept. of Mechanical Engineering, University of Victoria

[2] MARC Analysis Research Corp., Palo Alto, CA 94306

来源：

TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING | 1997年 / 21卷 / 02期

关键词：

D O I：

10.1139/tcsme-1997-0010

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A study of static and dynamic analysis of slender beams undergoing large deflections is undertaken here. the Euler-Bernoulli hypothesis is employed and the beam deforms with large rotations but small strains. Initially the static analysis, using the consistent updated Lagrangian techniques which accounts for full non-linearity of the beam is undertaken and is then extended to dynamic analysis. Several examples illustrating the implementation and the performance of the proposed formulation are included and a comparison with results obtained by the co-rotational method is provided.

引用

页码：141 / 177

页数：37

共 43 条

[1]

Argyris J, 1991, TEXTS COMPUTATIONAL

[2]

Bathe K, 2000, FINITE ELEMENT METHO

[3]

Bathe K.-J., 1975, International Journal for Numerical Methods in Engineering, V9, P353, DOI 10.1002/nme.1620090207

[4]

Bathe K. J., 1986, Finite element procedures in engineering analysis

[5] 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

[6]

BEHDINAN K, 1996, THESIS U VICTORIA

[7]

BEHDINAN K, 1996, UNPUB COMPUT METH AP

[8] APPLICATIONS OF HIGHER-ORDER COROTATIONAL STRETCH THEORIES TO NON-LINEAR FINITE-ELEMENT ANALYSIS [J].

BELYTSCHKO, T ;

GLAUM, LW .

COMPUTERS & STRUCTURES, 1979, 10 (1-2) :175-182

[9]

Belytschko T., 1973, International Journal for Numerical Methods in Engineering, V7, P255, DOI 10.1002/nme.1620070304

[10] GEOMETRIC NONLINEAR-ANALYSIS OF FLEXIBLE SPATIAL BEAM STRUCTURES [J].

CHEN, ZQ ;

AGAR, TJA .

COMPUTERS & STRUCTURES, 1993, 49 (06) :1083-1094

← 1 2 3 4 5 →