Mechanics analysis of thin-walled box continuous girder with variable cross-sections in considering effect of large deflection and shear lag

This investigation focuses on the interaction effect during the quasi-static axial crushing of circular and square thin-walled aluminium extrusions filled with polymeric foam or cork. The increment in the absorbed energy due to interactions between materials was assessed using a validated numerical model calibrated with experimental material data. Simulations were run with variable cross-section dimensions, thickness, and foam density. The results were used to adjust the parameters of design formulas to predict the average crush forces of foam- and cork-filled thin-walled tubes. The analysis of the energy dissipation per unit volume revealed that the highest increments due to the interaction between materials appeared in the foam-filled square extrusions. Energy dissipation increased with higher density foams for both cross-sections due to a stronger constraint of the aluminium walls, and thus a reduction of the folding length. Thinner tube walls also delivered a higher improvement in the energy dissipation per unit volume than those with thicker walls. The contribution of friction was also quantified and investigated.

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A one-dimensional model for computing forced nonlinear vibration of thin-walled composite beams with open variable cross-sections

Thin-Walled Structures ◽

10.1016/j.tws.2020.107211 ◽

2020 ◽

pp. 107211

Author(s):

Ahmed Elkaimbillah ◽

Bouazza Braikat ◽

Foudil Mohri ◽

Noureddine Damil

Keyword(s):

Nonlinear Vibration ◽

Cross Sections ◽

Composite Beams ◽

Variable Cross ◽

Dimensional Model ◽

One Dimensional ◽

Thin Walled ◽

Forced Nonlinear Vibration

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Elastic torsion of thin walled bars of variable cross sections

Computers & Structures ◽

10.1016/0045-7949(84)90049-x ◽

1984 ◽

Vol 19 (3) ◽

pp. 401-407 ◽

Cited By ~ 18

Author(s):

Jerzy W. Wekezer

Keyword(s):

Cross Sections ◽

Variable Cross ◽

Thin Walled

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TRANSFER MATRIX OF THIN-WALLED CURVED GIRGERS AND THEIR APPLICATION TO ANALIYSIS OF CONTINUOUS CURVED GIRDER BRIDGES WITH VARIABLE CROSS SECTIONS

Proceedings of the Japan Society of Civil Engineers ◽

10.2208/jscej1969.1975.244_47 ◽

1975 ◽

Vol 1975 (244) ◽

pp. 47-55

Author(s):

Yasuharu FUKASAWA ◽

Kiyoshi KOBAYASHI

Keyword(s):

Transfer Matrix ◽

Cross Sections ◽

Variable Cross ◽

Girder Bridges ◽

Curved Girder Bridges ◽

Thin Walled

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Hydroforming of a Non-axisymmetric Thin-walled Tubular Component with Variable Cross Sections

Transactions of Materials Processing ◽

10.5228/kstp.24.5.368 ◽

2015 ◽

Vol 24 (5) ◽

pp. 368-374

Author(s):

H.S. Kang ◽

B.D. Joo ◽

T.W. Hwang ◽

Y.H. Moon

Keyword(s):

Cross Sections ◽

Variable Cross ◽

Thin Walled ◽

Tubular Component

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Geometric Nonlinear Analysis of Curved Box Continuous Girders Considering Shear Lag Effect

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.243-249.1811 ◽

2011 ◽

Vol 243-249 ◽

pp. 1811-1816 ◽

Cited By ~ 2

Author(s):

Qi Zhi Luo ◽

Yu Ji Chen

Keyword(s):

Large Deflection ◽

Computational Method ◽

Shear Lag ◽

Shear Lag Effect ◽

Box Girders ◽

Box Girder ◽

Lag Effect ◽

Thin Walled ◽

Geometric Nonlinear Analysis ◽

Good Agreement

The analytical theory and computational method for thin-walled curved box girders in terms of the shear lag effect and geometric nonlinearity are presented. Based on the potential variational principle and the theory of thin-walled box girders, the geometry nonlinear governing differential equations of thin-walled curved box girder considering the influence of the shear lag effect of flange’s stress and the large deflection is established. The equation is solved by means of Newton-Raphon iteration method. The results from the present method are in good agreement with those of the test and the segment method. The numerical examples are conducted to verify the accuracy and reliability of the present theories. It is shown that the proposed formulae and method could be referenced to the design for the thin-walled curved box girders considering shear lag effect.

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