Linear buckling analysis of thin-walled members combining the Generalised Beam Theory and the Finite Element Method

2011 ◽  
Vol 89 (21-22) ◽  
pp. 1982-2000 ◽  
Author(s):  
Miquel Casafont ◽  
Frederic Marimon ◽  
Magdalena Pastor ◽  
Miquel Ferrer
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Theory ◽  
Buckling Analysis ◽  
The Finite Element Method ◽  
Linear Buckling ◽  
Thin Walled ◽  
Generalised Beam Theory ◽  
Linear Buckling Analysis ◽  
Element Method

Post-buckling inelastic analysis of thin-walled metal members using the Generalised Beam Theory

2019 ◽  
Author(s):  
Miguel Abambres ◽  
Dinar Camotim ◽  
Miguel Abambres
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Theory ◽  
Flow Theory ◽  
Promising Alternative ◽  
Inelastic Analysis ◽  
Post Buckling ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Generalised Beam Theory

A 2nd order inelastic Generalised Beam Theory (GBT) formulation based on the J2 flow theory is proposed, being a promising alternative to the shell finite element method. Its application is illustrated for an I-section beam and a lipped-C column. GBT results were validated against ABAQUS, namely concerning equilibrium paths, deformed configurations, and displacement profiles. It was concluded that the GBT modal nature allows (i) precise results with only 22% of the number of dof required in ABAQUS, as well as (ii) the understanding (by means of modal participation diagrams) of the behavioral mechanics in any elastoplastic stage of member deformation .

Research on Machining Accuracy in Milling Ti6Al4V Thin-Walled Component with Paraffin Reinforcement

2012 ◽  
Vol 268-270 ◽  
pp. 504-509
Author(s):  
Biao Gao ◽  
Jie Sun ◽  
Jian Feng Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Machining Accuracy ◽  
The Finite Element Method ◽  
Technical Problems ◽  
Low Stiffness ◽  
Thin Walled ◽  
Element Method

According to the technical problems such as low stiffness vibration and dimension error in milling Ti6Al4V thin-walled component, the manufacturing with paraffin reinforcement is studied. Firstly, paraffin formula for milling thin-walled component is researched. Secondly, applying the finite element method (FEM) to predict the deformation of machining with paraffin reinforcement and the corresponding milling experiments is done to check the the validity of the model. Finally, the influences of machining accuracy about different paraffin formulas for the same component are obtained. This study supplies support for the research of paraffin formula which are based on reducing the distortion of workpiece.

In-Plane Free Vibration of Curved Beams Using Finite Element Method

2007 ◽  
Author(s):  
F. Yang ◽  
R. Sedaghati ◽  
E. Esmailzadeh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Central Line ◽  
Circular Ring ◽  
Curved Beam ◽  
The Finite Element Method ◽  
Curved Beams ◽  
Element Method

Curved beam-type structures have many applications in engineering area. Due to the initial curvature of the central line, it is complicated to develop and solve the equations of motion by taking into account the extensibility of the curve axis and the influences of the shear deformation and the rotary inertia. In this study the finite element method is utilized to study the curved beam with arbitrary geometry. The curved beam is modeled using the Timoshenko beam theory and the circular ring model. The governing equation of motion is derived using the Extended-Hamilton principle and numerically solved by the finite element method. A parametric sensitive study for the natural frequencies has been performed and compared with those reported in the literature in order to demonstrate the accuracy of the analysis.

Constrained shell finite element method for elastic buckling analysis of thin-walled members

2019 ◽  
Vol 145 ◽  
pp. 106409 ◽  
Author(s):  
Sheng Jin ◽  
Zhanjie Li ◽  
Fang Huang ◽  
Dan Gan ◽  
Rui Cheng ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Buckling Analysis ◽  
Elastic Buckling ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Element Method

scholarly journals Buckling analysis of graphene nanosheets by the finite element method

2018 ◽  
Vol 157 ◽  
pp. 06002
Author(s):  
Jozef Bocko ◽  
Pavol Lengvarský
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Graphene Nanosheets ◽  
Buckling Analysis ◽  
Single Layer Graphene ◽  
Graphene Sheets ◽  
The Finite Element Method ◽  
Structural Element ◽  
Beam Elements ◽  
Element Method

The paper is devoted to the problems related to buckling analysis of graphene sheets without and with vacancies in the structure under different boundary conditions. The analysis was performed by the classical numerical treatment – the finite element method (FEM). The graphene sheets were modelled by beam elements. Interatomic relations between carbon atoms in the structure were represented by the beams connecting individual atoms. The behaviour of the beam as structural element was based on the properties that were established from relations of molecular mechanics. The vacancies in single layer graphene sheets (SLGSs) were created by elimination of randomly chosen atoms and corresponding beam elements connected to the atoms in question. The computations were accomplished for different percentage of atom vacancies and the results represent an obvious fact that the critical buckling force decreases for increased percentage of vacancies in the structure. The numerical results are represented in form of graphs.

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