Hencky Bar-Chain model for buckling analysis of non-symmetric portal frames

W. H. Pan; C. M. Wang; H. Zhang

doi:10.1016/j.engstruct.2018.12.078

Hencky Bar-Chain model for buckling analysis of non-symmetric portal frames

W. H. Pan^*, C. M. Wang, H. Zhang

^*Corresponding author for this work

University of Queensland

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

This paper presents the development of the Hencky bar-chain model (HBM) for the buckling analysis of non-symmetric portal frames under vertical compressive axial loads on the columns. Generic stiffness and geometric matrices are derived for the frame buckling analysis. Based on these matrices, a simple computer code is developed to determine the buckling loads. Illustrative frame buckling problems are solved to demonstrate the ease and simplicity of the HBM for analysis of different and complex design conditions imposed on the frames. The advantages of consistent formulation, localized model modifications, and convenience in obtaining the buckling modes are further noted for the HBM.

Original language	English
Pages (from-to)	391-402
Number of pages	12
Journal	Engineering Structures
Volume	182
DOIs	https://doi.org/10.1016/j.engstruct.2018.12.078
Publication status	Published - 1 Mar 2019
Externally published	Yes

Keywords

Buckling
Discrete model
Euler–Bernoulli beam theory (EBT)
Exact solution
Frames
Hencky bar-chain model (HBM)

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10.1016/j.engstruct.2018.12.078

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@article{288bc48a03ae4f959722ad26a881aed5,

title = "Hencky Bar-Chain model for buckling analysis of non-symmetric portal frames",

abstract = "This paper presents the development of the Hencky bar-chain model (HBM) for the buckling analysis of non-symmetric portal frames under vertical compressive axial loads on the columns. Generic stiffness and geometric matrices are derived for the frame buckling analysis. Based on these matrices, a simple computer code is developed to determine the buckling loads. Illustrative frame buckling problems are solved to demonstrate the ease and simplicity of the HBM for analysis of different and complex design conditions imposed on the frames. The advantages of consistent formulation, localized model modifications, and convenience in obtaining the buckling modes are further noted for the HBM.",

keywords = "Buckling, Discrete model, Euler–Bernoulli beam theory (EBT), Exact solution, Frames, Hencky bar-chain model (HBM)",

author = "Pan, {W. H.} and Wang, {C. M.} and H. Zhang",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2019",

month = mar,

day = "1",

doi = "10.1016/j.engstruct.2018.12.078",

language = "English",

volume = "182",

pages = "391--402",

journal = "Engineering Structures",

issn = "0141-0296",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Hencky Bar-Chain model for buckling analysis of non-symmetric portal frames

AU - Pan, W. H.

AU - Wang, C. M.

AU - Zhang, H.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - This paper presents the development of the Hencky bar-chain model (HBM) for the buckling analysis of non-symmetric portal frames under vertical compressive axial loads on the columns. Generic stiffness and geometric matrices are derived for the frame buckling analysis. Based on these matrices, a simple computer code is developed to determine the buckling loads. Illustrative frame buckling problems are solved to demonstrate the ease and simplicity of the HBM for analysis of different and complex design conditions imposed on the frames. The advantages of consistent formulation, localized model modifications, and convenience in obtaining the buckling modes are further noted for the HBM.

AB - This paper presents the development of the Hencky bar-chain model (HBM) for the buckling analysis of non-symmetric portal frames under vertical compressive axial loads on the columns. Generic stiffness and geometric matrices are derived for the frame buckling analysis. Based on these matrices, a simple computer code is developed to determine the buckling loads. Illustrative frame buckling problems are solved to demonstrate the ease and simplicity of the HBM for analysis of different and complex design conditions imposed on the frames. The advantages of consistent formulation, localized model modifications, and convenience in obtaining the buckling modes are further noted for the HBM.

KW - Buckling

KW - Discrete model

KW - Euler–Bernoulli beam theory (EBT)

KW - Exact solution

KW - Frames

KW - Hencky bar-chain model (HBM)

UR - http://www.scopus.com/inward/record.url?scp=85059341664&partnerID=8YFLogxK

U2 - 10.1016/j.engstruct.2018.12.078

DO - 10.1016/j.engstruct.2018.12.078

M3 - Article

AN - SCOPUS:85059341664

SN - 0141-0296

VL - 182

SP - 391

EP - 402

JO - Engineering Structures

JF - Engineering Structures

ER -

Hencky Bar-Chain model for buckling analysis of non-symmetric portal frames

Abstract

Keywords

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