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ANSYS Release 9.0 Documentation Verification Manual | Part I. Verification Test Case Descriptions |
VM216 Lateral Buckling of a Right Angle Frame
Overview Reference:
Analysis Type(s): Element Type(s): Input Listing:
J. C. Simo, L. Vu-Quoc, “Three-Dimensional Finite-Strain Rod Model, Part II”, Computer Methods in Applied Mechanical Engineering, Vol. 58, 1986, pp. 79-116. Static Analysis (ANTYPE = 0) 3-D Linear Finite Strain Beam Elements (BEAM188) 3-D Quadratic Finite Strain Beam Elements (BEAM189) vm216.dat
Test Case A cantilever right angle frame is subjected to an in-plane fixed end load. The frame is driven to buckling mode by a perturbation load applied at the free end, normal to the plane of the frame. This perturbation is removed close to the buckling load. Determine the critical load. Figure 216.1 Right Angle Frame Problem Sketch
Material Properties
Geometric Properties
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Ex = 71240 psi Nuxy = 0.31 Loading
lzz = 0.54 in lyy = 1350 in4 t = 0.6 in w = 30 in L = 240 in
Fz = 1 x 10-3 lb Fx = 1,485 lb
Analysis Assumptions and Modeling Notes A first analysis is performed using BEAM188 elements. A second analysis is also performed using BEAM189 elements.
Results Comparison Critical Load BEAM188 BEAM189
Target 1.09 1.09
ANSYS 1.066 1.065
Ratio 0.978 0.978
Figure 216.2 Displacement Tip vs. End Force
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Figure 216.3 Deformed Shape, Side View
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Figure 216.4 Deformed Shape, Top View
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