Ansys verification manual ansys release 90 002114 sas

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Unformatted text preview: gineering Computations, Vol. 1 No. 3, Sept. 1984. Analysis Type(s): Optimization (/OPT) Static Analysis (ANTYPE = 0) Element Type(s): 2-D Elastic Beam Elements (BEAM3) Input Listing: vm157.dat Test Case Minimize the volume of a symmetric four member frame subject to four bending moment constraints of the form 825000 (dj)3 - |Mij| ≥ 0 where Mij is the bending moment at end i of member j and dj is the depth of member j. Cross sections of each member must be rectangular, with depth equal to half the height. Figure 157.1 Frame Structure Problem Sketch Material Properties E = 1 x 1010 Pa Geometric Properties a = 2.5 m Loading F = 4000 N Analysis Assumptions and Modeling Notes Areas and moments of inertia are input as parametric expressions of the design variables; Aj = 1/2 dj2, Ij = 1/24 dj4. Use half symmetry. An upper bound of 2000 is chosen for the state variables to provide a reasonable feasible design space. Likewise, the design variable limits between .05 m and 0.5 m are chosen as reasonable ranges for membe...
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