gen使用手冊 pdf版 例題驗證 verifications verification36

1、Example 36Title3-D single story frame structureDescriptionCompute the natural frequencies of a 3-D single story frame structure.Structural geometry and analysis model1Verification ExampleModelAnalysis Type3-D eigenvalue analysisUnit Systemin, lbfDimensionLength 27.25 inWidth 17.25 inHeight 18.625 in

2、MassM5 M8 , M13 M18 = 8.94223 10-3 lbfsec2/in M9 M12 = 0.0253816 lbfsec2/inElementBeam elementMaterialModulus of elasticityPoissons ratio= 27.9 106 psi= 0.3ESection PropertyArea Shear AreaTorsional stiffnessMoment of inertiaAAsy Ixx Iyy= 1.074531 in2= 0.5372657 in2 (=Asz)= 1.331494 in4= 0.665747 in4

3、 (=Izz)Boundary ConditionNodes 1 4 ; Constrain all DOFs.Analysis CaseConvert the self weight to nodal masses and input manually.Number of natural frequencies to be computed = 52Example 36ResultsEigenvalue Analysis Results3Verification Example1st vibration mode of the structure5th vibration mode of t

4、he structure4Example 36Comparison of ResultsUnit : HzNatural frequencyANSYSSAP2000NISA IIMIDAS/Genf1 f2 f3 f4f5111.5115.9137.6218.0404.2114.0119.0141.0222.0400.0111.46116.10137.50216.20405.00111.2115.8137.1215.7404.2ReferencesI.S. Tuba and W. B. Wright, ASME Pressure Vessel and Piping 1972, “Compute

5、rPrograms Verification”, ASME Publication I-24, Problem 1“ANSYS, Engineering Analysis Verification Manual”, Revision 4.4, SWANSON AnalysisSystems, Inc., 1990“SAP90, A Series of Computer Programs for the Finite Element Analysis of Structures,Structural Analysis Verification Manual”, Computers and structures, Inc., 1992, Example 4“NISA II, Ver