Grouping of transmitter-receiver positions when using the direct solvers of finite element equation systems in induction logging problems

2016 ◽  
Author(s):  
M.G. Persova ◽  
Yu.G. Soloveichik ◽  
D.V. Vagin ◽  
Yu.I. Koshkina
Keyword(s):  
Finite Element ◽  
Finite Element Equation ◽  
Direct Solvers ◽  
Induction Logging

scholarly journals APPLICATION OF RIGID LINKS IN STRUCTURAL DESIGN MODELS

2017 ◽  
Vol 13 (3) ◽  
pp. 119-137 ◽  
Author(s):  
Sergey Yu. Fialko
Keyword(s):  
Finite Element ◽  
Structural Design ◽  
Stiffness Matrix ◽  
Sparse Matrix ◽  
Element Model ◽  
Rigid Bodies ◽  
Design Models ◽  
Adjacency Graph ◽  
Direct Solvers ◽  
The Finite Element Model

A special finite element modelling rigid links is proposed for the linear static and buckling analysis. Unlike the classical approach based on the theorems of rigid body kinematics, the proposed approach preserves the similarity between the adjacency graph for a sparse matrix and the adjacency graph for nodes of the finite element model, which allows applying sparse direct solvers more effectively. Besides, the proposed approach allows significantly reducing the number of nonzero entries in the factored stiffness matrix in comparison with the classical one, which greatly reduces the duration of the solution. For buckling problems of structures containing rigid bodies, this approach gives correct results. Several examples demonstrate its efficiency.

scholarly journals Computational complexity and memory usage for multi-frontal direct solvers used in p finite element analysis

2011 ◽  
Vol 4 ◽  
pp. 1854-1861 ◽  
Author(s):  
Victor M. Calo ◽  
Nathaniel O. Collier ◽  
David Pardo ◽  
Maciej R. Paszyński
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Computational Complexity ◽  
Memory Usage ◽  
Element Analysis ◽  
Direct Solvers

Thermally Induced Vibration Analysis of Laminated Plate Considering Radiation by Finite Element Method

2011 ◽  
Vol 27 (4) ◽  
pp. N33-N37
Author(s):  
S. G. Zhao ◽  
J. T. Wang ◽  
K. Li ◽  
D. F. Wu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Vibration Analysis ◽  
Transient Temperature ◽  
Shear Effect ◽  
Laminated Plate ◽  
Temperature Analysis ◽  
Thermally Induced ◽  
Finite Element Equation ◽  
Transient Temperature Field

ABSTRACTTransient temperature field of laminated plate which considering radiation is analyzed by laying temperature lines in every layer in this paper. Finite element equations are established by using high-order displacement field which considering shear effect based on the temperature analysis. Then thermally induced vibration of laminated plate is investigated by solving the finite element equation with numerical method. Compared with numerical results of ANSYS by using 3-D coupled element (SOLID5), the methods presented in this paper have a satisfied precision and better efficiency. It can give reference to the thermally induced vibration analysis of thin-large flexible laminated appendages of spacecraft.

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