Benchmark Problems to Verify the Accuracy
Of
CAEFEM Finite Element Analysis Software.
Benchmark problems have been selected from the references
given below.
-
R.H. Macneal and R.L.Harder, "A Proposed Standard
Set of Problems To Test Finite Element Accuracy," Finite Elements
in Analysis and Design, 1, pp 3-20, 1985.
-
Donald W. White and John F. Abel, "Testing of Shell
Finite Element Accuracy and Robustness", Finite Elements in
Analysis and Design, 6, pp 129-151, 1989.
As per above technical paper 1, the benchmark problems given
in that paper have been designed to include, collectively, nearly all of the
parameters which have important effects on element accuracy. Authors also noted
that these test problems appear to be very simple but are deceptively
difficult and that failing grade in one or more problems should not
disqualify the element for applications where the combination of parameters that
caused the failure do not occur.
Comparison has been made between CAEFEM v6.0, MSC NASTRAN for
Windows v1.0 and ANSYS v5.3. ANSYS files have been created by FEMAP using
default options.
Please choose the following links to see the comparisons of different
problems. You can also
down load the
Adobe PDF file (42 K Bytes) consists of the following benchmark results:
Problem 1: Straight Cantilever Beam Modeled with
Regular Shape Plate Elements
Aspect ratio of each element is 5.0, In-plane loading, Membrane
action.
Problem 2: Straight Cantilever Beam Modeled with
Trapezoidal Shape Plate Elements
Aspect ratio of each element is 5.0, In-plane loading, Membrane
action.
Simple looking but deceptively difficult.
Problem 3: Straight Cantilever Beam Modeled with
Parallelogram Shape Plate Elements
Aspect ratio of each element is 5.0, In-plane loading, Membrane
action.
Problem 4: Straight Cantilever Beam Modeled with
Regular Shape Plate Elements
Aspect ratio of each element is 5.0, Out-of-plane loading, Bending
action.
Problem 5: Straight Cantilever Beam Modeled with
Trapezoidal Shape Plate Elements
Aspect ratio of each element is 5.0, Out-of-plane loading, Bending
action.
Problem 6: Straight Cantilever Beam Modeled with
Parallelogram Shape Plate Elements
Aspect ratio of each element is 5.0, Out-of-plane loading, Bending
action.
Problem 7: Curved Beam Modeled with Regular Shape
Plate Elements
Aspect ratio of each element is 5.0, In-plane loading, Membrane
action.
Problem 8: Curved Beam Modeled with Regular Shape
Plate Elements
Aspect ratio of each element is 5.0, Out-of-plane loading,
Bending action.
Problem 9: Thermal Deformation in a Cantilever Beam
Temperature induced bending
Problem 10: Morley Spherical Shell
Both membrane and bending actions are significant in the deformation
