MacNeal-Harder TestA twisted cantilever beam solved
with solid and shell elements using Explicit Analysis. A twisted beam model is made with
each element type to investigate the effect of distorted elements with a high aspect
ratio.
図 1. FE Model of Twisted Beam with Boundary and Loading
Conditions
As shown in 図 1, the beam is constrained in x, y and z
directions for translational motion. The end of the beam has Force Load applied.
Four types of elements are used for this problem. In-plane bending is used for all
the elements.
Analytical result computed by beam theory for deflection is Uy = 1.754E-04.
Material Properties
Value
Young's modulus
29E+06 psi
Poisson's ratio
0.22
Density
1E-04 lbm/in3
Results
Explicit Analysis results are shown in comparison with the reference result.
表 1. MacNeal Harder Test Results
Element Type
Analytical Result
OptiStruct Explicit Analysis
Results
Absolute Value
Normalized Value
CQUAD4
1.754E-03
1.895E-03
1.0804
CTRIA3
1.802E-03
1.0274
CHEXA8
1.793E-03
1.022
CTETRA10
1.790E-03
1.020
図 2. Deformed Shapes of the Twisted Beam
Reference
MacNeal, R.H., and Harder, R.L., A Proposed Standard Set of Problems to Test Finite Element Accuracy, Finite Elements in Analysis and Design, 1 (1985) 3-20.
