NON-LINEAR BEHAVIOR OF ELASTIC SLENDER STRAIGHT BEAMS UNDERGOING SMALL STRAINS AND MODERATE ROTATIONS

被引：52

作者：

ROSEN, A ^{[1
]}

FRIEDMANN, P ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,SCH ENGN & APPL SCI,DEPT MECH & STRUCT,LOS ANGELES,CA 90024

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1979年 / 46卷 / 01期

关键词：

D O I：

10.1115/1.3424490

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The nonlinear behavior of slender and initially straight beams is investigated. A set of equilibrium equations for a beam undergoing moderate rotations and small strains is derived. The derivation includes several assumptions which are clearly stated and explained. These equations are used to investigate the deformations of a cantilevered beam which is loaded by a concentrated transverse load at the free end. The numerical results are in very good agreement with the experimental results. © 1979 by ASME.

引用

页码：161 / 168

页数：8

共 24 条

[1]

ALIHASSAN S, 1974, J SOUND VIBRATION, V32

[2]

Antman S, 1972, HDB PHYSIK A, VVI a, P641

[3]

Cohen H., 1966, INT J ENG SCI, V4, P511, DOI DOI 10.1016/0020-7225(66)90013-9

[4] EXPERIMENTAL-THEORETICAL CORRELATION STUDY OF NONLINEAR BENDING AND TORSION DEFORMATIONS OF A CANTILEVER BEAM [J].

DOWELL, EH ;

TRAYBAR, J ;

HODGES, DH .

JOURNAL OF SOUND AND VIBRATION, 1977, 50 (04) :533-544

[5] 3-DIMENSIONAL LARGE DEFORMATION ANALYSIS OF THIN WALLED BEAMS [J].

EPSTEIN, M ;

MURRAY, DW .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1976, 12 (12) :867-876

[6]

Ericksen J. L., 1970, International Journal of Solids and Structures, V6, P371, DOI 10.1016/0020-7683(70)90045-4

[7] RECENT DEVELOPMENTS IN ROTARY-WING AEROELASTICITY [J].

FRIEDMANN, PP .

JOURNAL OF AIRCRAFT, 1977, 14 (11) :1027-1041

[8]

GOODIER JN, 1950, ASME, V17, P383

[9]

Green A. E., 1973, Journal of Elasticity, V3, P179, DOI 10.1007/BF00052892

[10] A GENERAL THEORY OF RODS [J].

GREEN, AE ;

LAWS, N .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 293 (1433) :145-&

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