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Thực tập MPCKT ThS Nguyễn Thái Hiền Email: thnguyen@hcmut.edu.vn Phone: 0909450208 Facebook: thaihienvl@yahoo.com Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT 5.1 Introduction 5.2 Shell modeling 5.3 Exercises Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Thin Plate Theory ( Kirchhoff Plate Theory) Assumptions (similar to those in the beam theory): A straight line along the normal to the mid surface remains straight and normal to the deflected mid surface after loading, that is, these is no transverse shear deformation:  xz   yz  Thick Plate Theory (Mindlin Plate Theory) If the thickness t of a plate is not “thin”, t/L = 1/10 (L = a characteristic dimension of the plate), then the thick plate theory by Mindlin should be applied This theory accounts for the angle changes within a cross section, that is,  xz  0,  yz  Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Shells and Shell Elements Shells – Thin structures witch span over curved surfaces Example: Containers, pipes, tanks; Car bodies; Sea shell, egg shell (the wonder of the nature); Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Shell elements in ANSYS Name Element Description Notes SHELL181 4-Node Structural Shell dof at each node SHELL281 8-Node Structural Shell dof at each node SHELL163 Explicit Thin Structural Shell 12 dof at each node SHELL209 3-Node Axisymmetric Shell SHELL208 2-Node Axisymmetric Shell SHELL131 4-Node Thermal Shell SHELL132 8-Node Thermal Shell … … Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT SHELL181 - Element Description: SHELL181 is suitable for analyzing thin to moderately-thick shell structures It is a four-node element with six degrees of freedom at each node: translations in the x, y, and z directions, and rotations about the x, y, and z-axes (If the membrane option is used, the element has translational degrees of freedom only) The degenerate triangular option should only be used as filler elements in mesh generation SHELL181 is well-suited for linear, large rotation, and/or large strain nonlinear applications Change in shell thickness is accounted for in nonlinear analyses SHELL181 may be used for layered applications for modeling composite shells or sandwich construction Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT SHELL181 SHELL181 Input Data - SHELL181 Geometry Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT SHELL181 SHELL181 Input Data - Single-Layer Definition To define the thickness (and other information), use section definition, as follows: SECTYPE,,SHELL SECDATA,THICKNESS, - Multilayer Definition The shell section commands allow for layered shell definition Options are available for specifying the thickness, material, orientation, and number of integration points through the thickness of the layers Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Ex1:Curved shell with a rectangular hole R=600 Fx 800 Fz Using the input data listed below the stress distribution should be calculated for a shell with a rectangular hole Given: 500 300 500 1200 E = 210000 MPa  = 0,3 FX = 10 kN FZ = kN t = 10 Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Ex1:Curved shell with a rectangular hole /PREP7 ET,1,181 SECTYPE,SHELL SECDATA,10 MP,EX, 1, 210000 MP,NUXY, CSYS,5 1, 0.3 K,1,600,0,0 K,2,600,40,0 K,3,600,40,1200 K,4,600,0,1200 K,5,600,0,500 K,6,600,25,500 K,7,600,25,800 K,8,600,0,800 A,1,2,3,4 A,5,6,7,8 ASBA,1,2 ASBA,1,2 Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Ex1:Curved shell with a rectangular hole ESIZE,50 AMESH,ALL CSYS,0 ARSYM,Z,3,,,, NUMM,NODE ! reflection Include nodes and elements ! Merges coincident nodes Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Ex1:Curved shell with a rectangular hole FINISH / SOLU ANTYPE, STAT, NEW NSEL, S, LOC, Y, D, ALL, ALL ALLSEL F, 11, FX, 10000 F, 11, FZ, 1000 NSUB, OUTRE, ALL, ALL SOLVE FINISH Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT All edges are clamped A constant pressure of 0.05 N/mm2acts on the underside of the shell (i.e the pressure acts in the +z direction) Since the geometry and loads are symmetric about both the x and y-axes, we need to model only one-quarter of the structure The dimensions of the plate and stiffeners are shown in the figure below which shows only onequarter of the structure The Young's modulus E =7.3x104 MPa and the Poisson ratio is 0.33 Department of Engineering Mechanics, Room 106 B4, University of Technology Tel: 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn .. .Thực tập MPCKT 5.1 Introduction 5.2 Shell modeling 5.3 Exercises Department of Engineering Mechanics,... 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Thin Plate Theory ( Kirchhoff Plate Theory) Assumptions (similar to those in the beam... 08.38660568 - Fax: 08.38660568 - Email: bmcokythuat@hcmut.edu.vn - Website: www.fas.hcmut.edu.vn Thực tập MPCKT Shells and Shell Elements Shells – Thin structures witch span over curved surfaces Example: