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

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

scholarly journals Energy Absorption of Aluminium Extrusions Filled with Cellular Materials Under Axial Crushing: Study of the Interaction Effect

2020 ◽  
Vol 10 (23) ◽  
pp. 8510
Author(s):  
Javier Paz ◽  
Miguel Costas ◽  
Jordi Delgado ◽  
Luis Romera ◽  
Jacobo Díaz
Keyword(s):  
Energy Dissipation ◽  
Cross Sections ◽  
Interaction Effect ◽  
Unit Volume ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Polymeric Foam ◽  
Axial Crushing ◽  
Foam Filled ◽  
Thin Walled

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.

Free vibration analysis of axial-loaded beams with variable cross sections and multiple concentrated elements

2021 ◽  
pp. 107754632110128
Author(s):  
Yunxing Du ◽  
Peng Cheng ◽  
Fen Zhou
Keyword(s):  
Free Vibration ◽  
Transfer Matrix ◽  
Cross Sections ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Free Vibration Analysis ◽  
Frequency Equation ◽  
Variable Cross ◽  
Bending Vibrations ◽  
Euler Bernoulli Beam

A transfer matrix method is used to study free vibration characteristics of an axial-loaded Euler–Bernoulli beam with variable cross sections and multiple concentrated elements in the article. The differential equation for bending vibrations of the beam element is solved by the Frobenius method, and the solution is in power series form. Then, the transfer matrix method is applied to establish the state vector equation for both ends of the beam. Combined with boundary conditions, the frequency equation is obtained and expressed in a two-order determinant. The numerical results in this article are compared with those of the finite element method, which illustrates the accuracy of the method we proposed. The influence of the size of each concentrated elements and axial force on the natural frequency coefficients and the influence of the concentrated elements on the first critical buckling load are discussed.

scholarly journals Torsional vibration of suspension bridge with a variable cross section

1981 ◽  
Vol 3 (2) ◽  
pp. 22-26
Author(s):  
Nguyen Van Tinh
Keyword(s):  
Computer Program ◽  
Transfer Matrix ◽  
Cross Section ◽  
Cross Sections ◽  
Torsional Vibration ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Suspension Bridge ◽  
Variable Cross Section ◽  
Variable Cross

The transfer matrix method to torsion’ al vibrations of a suspension bridge with variable cross sections is reported. The method described above is particularly suitable for implementing an efficient computer program. A numerical example is also givens.

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

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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