Modeling of planar nonshallow prestressed beams towards asymptotic solutions

被引：19

作者：

Lacarbonara, W

Paolone, A

Yabuno, H

机构：

[1] Univ Roma La Sapienza, Dipartimento Ingn Strutturale & Geotecn, I-00184 Rome, Italy

[2] Univ Tsukuba, Inst Engn Mech & Syst, Tsukuba, Ibaraki 3058573, Japan

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2004年 / 31卷 / 03期

基金：

日本学术振兴会;

关键词：

cosserat rod; prestressed arch; post-buckling; initial curvature; direct perturbation approach;

D O I：

10.1016/j.mechrescom.2003.11.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Employing the geometrically exact approach, the governing equations of nonlinear planar motions around nonshallow prestressed equilibrium states of slender beams are derived. Internal kinematic constraints and approximations are introduced considering unshearable extensible and inextensible beams. The obtained approximate models, incorporating quadratic and cubic nonlinearities, are amenable to a perturbation treatment in view of asymptotic solutions. The different perturbation schemes for the two mechanical beam models are discussed. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：301 / 310

页数：10

共 13 条

[1] NEW PHENOMENA IN THE BUCKLING OF ARCHES DESCRIBED BY REFINED THEORIES [J].