Hencky bar-chain model for buckling and vibration of beams with elastically restrained ends

H. Zhang, C. M. Wang, N. Challamel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents the Hencky bar-chain model for buckling and vibration analyses of beams with elastically restrained ends. The Hencky bar-chain model is composed of rigid beam segments (of length a = L/n where L is the total length of beam and n the number of beam segments) connected by frictionless hinges with elastic rotational springs of stiffness EI/a where EI is the flexural rigidity of the beam. The key contribution of this paper lies in the modelling of the elastic end restraints of the Hencky bar-chain that will simulate the same buckling and vibration results as that furnished by the first order central finite difference beam model. The establishment of such a physical discrete beam model allows one to obtain accurate solutions for beam like structure with repetitive cells (or elements).

Original languageEnglish
Title of host publicationAdvanced Materials, Structures and Mechanical Engineering - Proceedings of the International Conference on Advanced Materials, Structures and Mechanical Engineering
EditorsMosbeh Kaloop
PublisherCRC Press/Balkema
Pages5-10
Number of pages6
ISBN (Print)9781138027930
Publication statusPublished - 2016
Externally publishedYes
EventInternational Conference on Advanced Materials, Structures and Mechanical Engineering, ICAMSME 2015 - Incheon, Korea, Republic of
Duration: 29 May 201531 May 2015

Publication series

NameAdvanced Materials, Structures and Mechanical Engineering - Proceedings of the International Conference on Advanced Materials, Structures and Mechanical Engineering

Conference

ConferenceInternational Conference on Advanced Materials, Structures and Mechanical Engineering, ICAMSME 2015
Country/TerritoryKorea, Republic of
CityIncheon
Period29/05/1531/05/15

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