验证例题60.pdf

1Example 58 Title Boundary nonlinear time history analysis Description Perform a boundary nonlinear time history analysis of a structure subject to lateral dynamic loads.Determine the shear deformation,shear force and force-deformation curve for the nonlinear link No.1.Structural analysis model Roof 3rd FL.2nd FL.Base(1st FL.)Verification Example 2Model Analysis Type 3-D boundary nonlinear time history analysis Unit System m,kN Dimension Length 12.0 m Width 12.0 m Height 10.5 m Damping ratio =0.05 Analysis Time t=39.98 sec Time step t=0.02 sec Element Beam element Material Modulus of elasticity E=2.9863 107 kN/m2 Poissons ratio =0.25 Section Property Columns 97111,118123,130144 B H=0.3 m 0.3 m Columns 112117,124129 B H=0.3 m 0.4 m Beams 196 B H=0.3 m 0.4 m Boundary Condition Nodes 116 ;Constrain all DOFs.Nodes 116,1732 ;Nonlinear Link Nonlinear Link Properties Type ;Lead Rubber Bearing Isolator Spring Properties DOF Effective Stiffness(kN/m)Dx 80000 Dy 523 Dz 523 Nodes 8184 ;Constrain Dx,Dy&Rz of all nodes at each floor to these nodes(Master nodes)Example 58 3Load Case Loma Prieta Earthquake in 270 Deg and 0 Deg(Oakland Outer Wharf,1989)are applied in the X&Y directions respectively.Results Time History Analysis Results Shear Deformation in local y direction of nonlinear link No.1 from 0 sec.to 39.98 sec.Verification Example 4 Shear Force in local y direction of nonlinear link No.1 from 0 sec.to 39.98 sec.Force-Deformation curve in local y direction of nonlinear link No.1 from 0 sec.to 39.98 sec.Example 58 5Comparison of Results Maximum Inter-story Drifts Unit:m DX DY Result 3-D Basis-TabsMIDAS/Gen 3-D Basis-Tabs MIDAS/Gen Roof 0.0007 0.0008 0.0008 0.0007 3rd FL.0.0012 0.0012 0.0013 0.0011 2nd FL.0.0012 0.0012 0.0013 0.0013 Base(1st FL.)0.1192 0.1190 0.1007 0.1000 Maximum Top Floor Acceleration Unit:m/sec2 AX AY Result 3-D Basis-TabsMIDAS/Gen 3-D Basis-Tabs MIDAS/Gen Roof 0.5116 0.5847 0.4928 0.4815 Reference Reinhorn,A.M.,Nagarajaiah,S.,et al.,“3-D Basis-Tabs:Version 2.0,Computer Program for Nonlinaer Dynamic Analysis of Three Dimensional Base Isolated Structures”,Technical Report NCEER-94-0018,Nat.Ctr.for Earthquake Engrg.Res.,State University of New York,Buffalo,N.Y.,1994.