验证例题23.pdf

1Example 23 Title Thin cylindrical shell under two point loads Description Compute the displacements of a thin cylindrical shell.A pair of equal and opposite point loads act on a thin cylindrical shell transverse to the cylindrical axis.Only a quarter of a half model may be analyzed due to symmetry.2 Structural geometry and analysis model Example 60 3MODEL Analysis Type 3-D static analysis Unit System in,lbf Dimension Length 300 in Radius 300 in Element Plate element (Thin type)Material Modulus of elasticity E =3 106 psi Poissons ratio =0.3 Element Property Element size a b =300/12 in 2 300/4/12 in Thickness t =3 in Boundary Condition Nodes 157 169 ;Constrain Dz,Rx and Ry.(Symmetric about X-Y plane)Nodes 1 157 ;Constrain Dx,Ry and Rz.(Symmetric about Y-Z plane)(at an increment of 13)Nodes 13 169 ;Constrain Dy,Rx and Rz.(Symmetric about Z-X plane)(at an increment of 13)Load Case A point load,1.0/4 lbf acts at the node 157 in the Y direction.4Results Deformed shape of the structure(Node 157)Example 60 5Comparison of Results Unit:in Result Theoretical NISA II SAP2000 MIDAS/GenMaximum displacement(Y)4.5197 10-44.62516 10-44.6290 10-4 4.6224 10-4 The maximum displacement occurs at the node 157.References S.Timoshenko,S.Woinowsky-Krieger,“Theory of Plates and Shells”,2nd Edition McGraw-Hill Book Co.Inc.,New York,1959.“NISA II,Verification Problems Manual”,Version 91.0,Engineering Mechanics Research Corporation,1991,Problem 2.13.