A direct vector combination procedure for finite element stiffness matrix formulation

1982 ◽  
Vol 18 (6) ◽  
pp. 863-878 ◽  
Author(s):  
S. T. Mau
Keyword(s):  
Finite Element ◽  
Stiffness Matrix ◽  
Matrix Formulation ◽  
Element Stiffness Matrix ◽  
Vector Combination

Curved beam element stiffness matrix formulation

1985 ◽  
Vol 21 (4) ◽  
pp. 663-669 ◽  
Author(s):  
R. Palaninathan ◽  
P.S. Chandrasekharan
Keyword(s):  
Stiffness Matrix ◽  
Beam Element ◽  
Curved Beam ◽  
Matrix Formulation ◽  
Element Stiffness Matrix ◽  
Curved Beam Element

The Finite Element Model Study of the Pre-Twisted Timoshenko Beam

2012 ◽  
Vol 446-449 ◽  
pp. 3587-3590
Author(s):  
Chang Hong Chen ◽  
Ying Huang ◽  
Jian Shan
Keyword(s):  
Finite Element ◽  
Timoshenko Beam ◽  
Stiffness Matrix ◽  
Angular Displacement ◽  
Element Model ◽  
Beam Element ◽  
Element Stiffness Matrix ◽  
Straight Beam ◽  
The Relationship ◽  
Timoshenko Beam Element

The paper studies a new mechanical model of pre-twisted Timoshenko beam. But it is different from the conventional Timoshenko straight beam; the proposed new Timoshenko beam element takes separate interpolation polynomial functions both flexure bending displacement and angular displacement. According to the relationship between bending moment and shear, the relationship between of bending displacement and angle displacement is derived, more accurate to consider the effects of shear deformation, come up with a new initial reverse Timoshenko beam element stiffness matrix. Finally, by calculating the pre-twisted rectangle section beam example, and contrasting three-dimensional solid finite element using ANSYS, the comparative analysis results show that pre-twisted Timoshenko beam element stiffness matrix has good accuracy.

Combined Hybrid Finite Element Method Applied in Elastic Thermal Stress Problem

2017 ◽  
Vol 14 (03) ◽  
pp. 1750071
Author(s):  
Ling Zhang ◽  
Yufeng Nie ◽  
Zhanbin Yuan ◽  
Yang Guo ◽  
Huiling Wang
Keyword(s):  
Finite Element ◽  
Thermal Stress ◽  
Variational Principle ◽  
Stiffness Matrix ◽  
Mesh Distortion ◽  
Hybrid Finite Element Method ◽  
Element Stiffness Matrix ◽  
Hybrid Finite Element ◽  
Stress Problem ◽  
Computing Accuracy

In view of combinative stability, combinative variational principle based on domain decomposition for elastic thermal stress problem is constructed with the merits of avoiding Lax–Babuska–Brezzi (LBB) conditions. Compared with the principle of elasticity problem, new load items from thermal are involved. In addition, combined hybrid finite element is proposed to discretize the new principle and to formulate element stiffness matrix. Energy compatibility is introduced not only to simplify the variational principle and the corresponding element stiffness matrix but also to reduce the error of finite element solutions. On cuboid element, the energy compatible stress mode is given explicitly. The numerical results indicate that combined hybrid element with eight nodes can give almost the same computing accuracy of displacement and better computing accuracy of stress compared with cuboid element with 20 nodes, is not sensitive to mesh distortion and can circumvent Poisson-locking phenomenon.

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