Theory of Thinwalled Component Stability Based on Finite Rotation and Its Application

doi:10.11908/j.issn.0253-374x.2016.04.002

Home > Archive>Volume 44, Issue 4, 2016 >0507-0511. DOI:10.11908/j.issn.0253-374x.2016.04.002

Theory of Thinwalled Component Stability Based on Finite Rotation and Its Application
DOI:
                        10.11908/j.issn.0253-374x.2016.04.002
                    
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                        YU ShaoleYU Shaole
College of Civil Engineering， Tongji University， Shanghai 200092，China
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ZHOU YiZHOU Yi
College of Civil Engineering，Southwest Jiaotong University, Chengdu 610031, China
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Clc Number:TU318
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Abstract:

To overcome the default of the classic theory, semitangential rotation was introduced as the spatially rotational parameters. Based on the secondorder rotation matrix, the expression of the secondorder displacement of beam element was deduced. According to the finite deformation theory, the straindisplacement nonlinear relationship for the thinwalled structures were presented. Based on the Bernoulli plain section assumption, the relation between rotation and transverse displacement derivative was derived. Thinwalled component stability theory was adopted to duduce the total potential energy of flexuraltorsional buckling, which verified the traditional formula and overcame the defects of traditional theory. The analysis results show that the proposed theory is suitable for flexuraltorsional buckling analysis of beams under any boundary conditions and loadings.

Key words:nonlinear analysis; buckling analysis; thinwalled structure; semitangential rotation

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YU Shaole, ZHOU Yi. Theory of Thinwalled Component Stability Based on Finite Rotation and Its Application[J].同济大学学报(自然科学版),2016,44(4):0507~0511

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Received:April 29,2015
Revised:November 03,2015
Adopted:March 02,2016
Online: May 06,2016
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