Refined spatial beam-column element for second-order analysis of lattice shell structure

Structures ◽  
2016 ◽  
Vol 6 ◽  
pp. 99-106 ◽  
Author(s):  
Lin Qi ◽  
Yang Ding
Keyword(s):  
Shell Structure ◽  
Second Order ◽  
Order Analysis ◽  
Spatial Beam ◽  
Lattice Shell ◽  
Column Element

Refined Beam Element for Second Order Analysis of Latticed Shells

2014 ◽  
Vol 1065-1069 ◽  
pp. 1208-1211
Author(s):  
Lin Qi ◽  
Hai Feng Huo
Keyword(s):  
Geometrical Nonlinearity ◽  
Single Layer ◽  
Second Order ◽  
Order Effects ◽  
Analysis Method ◽  
Maclaurin Series ◽  
Order Analysis ◽  
Stability Functions ◽  
Beam Elements ◽  
Spatial Beam

Based on equilibrium equation of beam, the displacement interpolating functions with shear effect of spatial beam elements which are used to simulate the structure members of latticed shells are deduced. The different displacement interpolating functions in compression and tension spatial beam-column elements are unified by the method of Maclaurin series expansion, and the unified expressions which are used to simulate structure members are equivalent to those expressed by stability functions. Numerical analyses results indicate that the second-order elastic analysis method for beam structures proposed in this paper, which can perfectly incarnate the second-order effects and the geometrical nonlinearity of the single-layer cylindrical reticulated shell, is of better accurateness and higher effectiveness.

Inelastic Second-Order Analysis of Frame Structures Using the Stability-Based Beam-Column Element

2009 ◽  
Vol 12 (4) ◽  
pp. 513-527
Author(s):  
Seung-Eock Kim ◽  
Jung-Woong Park
Keyword(s):  
Composite Structures ◽  
Lateral Displacement ◽  
Uniaxial Stress ◽  
Second Order ◽  
Order Effects ◽  
Equilibrium Equations ◽  
Good Efficiency ◽  
Order Analysis ◽  
The Stability ◽  
Column Element

In this study, the stability-based beam-column element has been proposed to consider the geometric second-order effects and material inelasticity, and to take advantage of the computational efficiency of the second-order analysis. A new force interpolation function matrix is developed to consider a moment magnification due to the axial force and lateral displacement. The constitutive behaviour of the cross-section is formulated by integration of the uniaxial stress-strain response of fibres to model the material inelasticity. The generalized displacement control (GDC) method incorporating the incremental secant stiffness method is applied to solve the nonlinear equilibrium equations with multiple limit points. Evaluation of the results of this study shows that the proposed method consistently predicts well the nonlinear inelastic behaviour of steel and composite structures, and gives good efficiency.

Discrete optimization of semi-rigid steel frames in second-order analysis

2019 ◽  
Author(s):  
Marcos Henrique Bossardi Borges ◽  
Adelano Esposito ◽  
Herbert Gomes
Keyword(s):  
Discrete Optimization ◽  
Steel Frames ◽  
Second Order ◽  
Order Analysis

Optimal design of planar frames based on approximate second-order analysis

2004 ◽  
Vol 36 (3) ◽  
pp. 281-290 ◽  
Author(s):  
Enrique Hernandez-Montes ◽  
Luisa Maria Gil-Martin ◽  
Mark Aschheim
Keyword(s):  
Optimal Design ◽  
Second Order ◽  
Order Analysis ◽  
Planar Frames
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