Please submit manuscripts in either of the following two submission systems

    ScholarOne Manuscripts

  • ScholarOne

    • 勤云稿件系统

  • 登录

Search by Issue

  • 2024 Vol.31
  • 2023 Vol.30
  • 2022 Vol.29
  • 2021 Vol.28
  • 2020 Vol.27
  • 2019 Vol.26
  • 2018 Vol.25
  • 2017 Vol.24
  • 2016 vol.23
  • 2015 vol.22
  • 2014 vol.21
  • 2013 vol.20
  • 2012 vol.19
  • 2011 vol.18
  • 2010 vol.17
  • 2009 vol.16
  • No.1
  • No.2

Search by Keywords

  • Search by Title
  • Search by Keywords
  • Search by Abstract
  • Search by Author's Chinese Name
  • Search by Author's English Name
  • Search by Fund

News & AnnouncementMORE

Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

期刊网站二维码
微信公众号二维码
Related citation:ZHANG Hong-sheng,LU Nian-li,Nan Pong.Buckling of stepped beams with elastic supports[J].Journal of Harbin Institute Of Technology(New Series),2009,16(3):436-440.DOI:10.11916/j.issn.1005-9113.2009.03.027.
【Print】   【HTML】   【PDF download】   【View/Add Comment】  【Download reader】  【 Close 】
←Previous|Next→ Back Issue    Advanced Search
This paper has been: browsed 1138times   downloaded 587times 本文二维码信息
码上扫一扫！
Shared by: Wechat More
Font:larger+|default|smaller-
Buckling of stepped beams with elastic supports
Author NameAffiliation
ZHANG Hong-sheng School of Mechatronics Engineering,Harbin Institute of Technology,Harbin 150001,China 
LU Nian-li School of Mechatronics Engineering,Harbin Institute of Technology,Harbin 150001,China 
Nan Pong School of Mechatronics Engineering,Harbin Institute of Technology,Harbin 150001,China 
Abstract:
The tangent stiffness matrix of Timoshenko beam element is applied in the buckling of multi-step beams under several concentrated axial forces with elastic supports. From the governing differential equation of lateral deflection including second-order effects,the relationship of force versus displacement is established. In the formulation of finite element method (FEM),the stiffness matrix developed has the same accuracy with the solution of exact differential equations. The proposed tangent stiffness matrix will degenerate into the Bernoulli-Euler beam without the effects of shear deformation. The critical buckling force can be determined from the determinant element assemblage by FEM. The equivalent stiffness matrix constructed by the topmost deflection and slope is established by static condensation method,and then a recurrence formula is proposed. The validity and efficiency of the proposed method are shown by solving various numerical examples found in the literature.
Key words:  buckling  stepped beams  elastic supports  Timoshenko beam
DOI：10.11916/j.issn.1005-9113.2009.03.027
Clc Number:O302
Fund:

LINKS

Copyright © The Editorial Department of Journal of Harbin Institute of Technology
Address: 92 West Dazhi Street, Nan Gang District, Harbin, Heilongjiang Province, China Postcode: 150001
(C)2015 JOURNAL OF HIT ALL RIGHTS RESERVED. ICP. 0000423255