Updated Lagrangian Formulation for Nonlinear Stability Analysis of Flexibly Connected Thin-Walled Frames

2009 ◽  
Author(s):  
G. Turkalj ◽  
J. Brnic ◽  
D. Lanc
Keyword(s):  
Stability Analysis ◽  
Nonlinear Stability ◽  
Lagrangian Formulation ◽  
Nonlinear Stability Analysis ◽  
Updated Lagrangian Formulation ◽  
Thin Walled ◽  
Updated Lagrangian

Nonlinear Stability Analysis of Thin-Walled Pier

2013 ◽  
Vol 361-363 ◽  
pp. 1251-1254
Author(s):  
Xiao Mei Dong
Keyword(s):  
Stability Analysis ◽  
Nonlinear Stability ◽  
Shell Element ◽  
Nonlinear Stability Analysis ◽  
Nonlinearity Effect ◽  
Updated Lagrangian Formulation ◽  
Thin Walled ◽  
Displacement Theory ◽  
The Stability ◽  
Updated Lagrangian

Shell element was used to simulate thin-walled piers. Mander constitutive model was adopted for analysis about the material nonlinearity. By finite displacement theory the geometric nonlinearity effect was reckoned in stability analysis based on Updated Lagrangian formulation. Nonlinear stability analysis during different construction stages indicates that the stability of pier in cantilever stage is weakest. Considered the dual non-linearity, the stability coefficient descends distinctly.

UPDATED LAGRANGIAN FORMULATION FOR NONLINEAR STABILITY ANALYSIS OF THIN-WALLED FRAMES WITH SEMI-RIGID CONNECTIONS

2012 ◽  
Vol 12 (03) ◽  
pp. 1250013 ◽  
Author(s):  
GORAN TURKALJ ◽  
JOSIP BRNIC ◽  
DOMAGOJ LANC ◽  
STOJAN KRAVANJA
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Nonlinear Stability ◽  
Plastic Hinge ◽  
Test Problems ◽  
Element Formulation ◽  
Nonlinear Stability Analysis ◽  
Straight Beam ◽  
Thin Walled ◽  
Updated Lagrangian

This paper presents a one-dimensional (1D) finite element formulation for the nonlinear stability analysis of framed structures with semi-rigid (SR) connections. By applying the updated Lagrangian incremental formulation and the nonlinear displacement field of thin-walled cross sections, the equilibrium equations of a straight beam element are first developed. Force recovering is performed according to the external stiffness approach. Material nonlinearity is introduced for an elastic-perfectly plastic material through the plastic hinge formation at finite element ends. To account for the SR connection behavior, a special transformation procedure is developed. The effectiveness of the numerical algorithm discussed is validated through the test problems.

Nonlinear stability analysis of thin-walled steel pipe confined in soft bilayer medium

2019 ◽  
Vol 196 ◽  
pp. 109318 ◽  
Author(s):  
Zhaochao Li ◽  
Junxing Zheng ◽  
Lijuan Meng ◽  
Xingxing Zou ◽  
Xiuyan Hu
Keyword(s):  
Stability Analysis ◽  
Nonlinear Stability ◽  
Steel Pipe ◽  
Nonlinear Stability Analysis ◽  
Thin Walled

scholarly journals Nonlinear stability analysis of rotor-bearing systems

PAMM ◽  
2009 ◽  
Vol 9 (1) ◽  
pp. 279-280 ◽  
Author(s):  
Aydin Boyaci ◽  
Wolfgang Seemann ◽  
Carsten Proppe
Keyword(s):  
Stability Analysis ◽  
Nonlinear Stability ◽  
Nonlinear Stability Analysis ◽  
Rotor Bearing
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