scholarly journals Enhanced mixed interpolation XFEM formulations for discontinuous Timoshenko beam and Mindlin-Reissner plate

2018 ◽  
Vol 115 (6) ◽  
pp. 714-737 ◽  
Author(s):  
M. Toolabi ◽  
A.S. Fallah ◽  
P.M. Baiz ◽  
L.A. Louca
Keyword(s):  
Timoshenko Beam ◽  
Reissner Plate

COMPUTATIONALLY EFFICIENT TECHNIQUE FOR THE SOLUTION OF TIMOSHENKO BEAM AND MINDLIN-REISSNER PLATE PROBLEMS USING THE METHOD OF FINITE SPHERES

2006 ◽  
Vol 03 (04) ◽  
pp. 465-501 ◽  
Author(s):  
SULEIMAN BANIHANI ◽  
SUVRANU DE
Keyword(s):  
Genetic Algorithm ◽  
Timoshenko Beam ◽  
Lookup Table ◽  
Efficient Technique ◽  
Computational Time ◽  
Computationally Efficient ◽  
Reissner Plate ◽  
Finite Spheres ◽  
Shear Deformable ◽  
Normalized Coordinates

In this paper we discuss the application of the method of finite spheres (MFS) to the solution of shear deformable beam and plate problems. A computationally efficient technique is presented in which the integration points and weights are generated using a genetic algorithm and stored in a lookup table using normalized coordinates much like a table of Gauss integration points and weights. This technique offers a significant reduction of computational time while maintaining accuracy.

Dynamic Rate Effects on Timoshenko Beam Response

1985 ◽  
Vol 52 (2) ◽  
pp. 439-445 ◽  
Author(s):  
T. J. Ross
Keyword(s):  
Timoshenko Beam ◽  
Bending Moment ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Rate Effects ◽  
The Laplace Transform ◽  
Step Loading ◽  
Fixed End ◽  
Constitutive Formulation ◽  
Viscoelastic Timoshenko Beam

The problem of a viscoelastic Timoshenko beam subjected to a transversely applied step-loading is solved using the Laplace transform method. It is established that the support shear force is amplified more than the support bending moment for a fixed-end beam when strain rate influences are accounted for implicitly in the viscoelastic constitutive formulation.

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