Variable Cross-Section Thin-Walled Composite Structure Modeling Based on the Super-Element Method

2016 ◽  
Vol 829 ◽  
pp. 95-99
Author(s):  
J. Xia ◽  
Zhi Jin Wang ◽  
A.S. Kretov

For slender structures (for example larger aspect ratio wing or fuselage), when they are under loads, the in-plane cross-section shape of these structures remains unchanged. Using this feature, in this paper, a new method called super-element method (SEM) is proposed with the hypothesis of in-plane rigidity. The stiffness matrix of one super-element which has reduced degrees of freedom compared with FEM is derived and they are assembled together to get the stiffness matrix of whole structure. Then through the boundary conditions, the stress and displacement distribution can be calculated out. Calculation analysis of three examples reveals the validity and feasibility of super-element method.

2012 ◽  
Vol 9 (1) ◽  
pp. 94-97
Author(s):  
Yu.A. Itkulova

In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.


2011 ◽  
Vol 8 (1) ◽  
pp. 155-162
Author(s):  
Yu.A. Itkulova

In the present work the three-dimensional flow of a viscous liquid described by Stokes equations is studied in a cylindrical tube and a channel of variable cross-section. A qualitative triangulation of the surface of a channel variable cross-section is constructed. The problem is solved numerically using the boundary element method in two modifications. A comparison of the method modifications for a channel of different radius of a neck, as well as for the Poiseuille flow with an analytical solution. It is found out the critical radius of the channel neck at which the vortices arise.


2018 ◽  
Vol 10 (04) ◽  
pp. 1850039 ◽  
Author(s):  
Mohsen Mirzajani ◽  
Naser Khaji ◽  
Muneo Hori

The wave finite element method (WFEM) is developed to simulate the wave propagation in one-dimensional problem of nonhomogeneous linear micropolar rod of variable cross-section. For this purpose, two kinds of waves with fast and slow velocities are detected. For micropolar medium, an additional rotational degree of freedom (DOF) is considered besides the classical elasticity’s DOF. The proposed method is implemented to solve the wave propagation, reflection and transmission of two distinct waves and impact problems in micropolar rods with different layers. Along with new solutions, results of the micropolar wave finite element method (MWFEM) are compared with some numerical and/or analytical solutions available in the literature, which indicate excellent agreements between the results.


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