Contributions to the Design of Neutral Cutouts in Laminated Plates and Shells
University of Michigan., 1994 - Buckling (Mechanics) - 95 pages
The problem of designing a cutout and a suitable cutout edge reinforcement (termed neutral hole) in a load bearing structural member in the form of a plate or shell, such that the cut structure maintains its stress state with a minimal departure from the stress state of the uncut structure is addressed. A particular class of structural optimization for laminated thin walled structures is considered, in which the geometry of the structure is obtained as a solution to a particular problem, for known states of stress, strain, boundary conditions and appropriate constraints (sometimes called inverse problems in elasticity for some specific cases). Symmetrically laminated composite plates and circular cylindrical shells are considered. Plates are analyzed using classical lamination theory, and the Donnell shallow thin shell model is applied to investigate laminated shells.
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Abaqus axes axial compression axial force axial pressure axis bending and twisting buckling load cartesian coordinates CIRCULAR CYLINDRICAL SHELLS circumferential direction closed hole complimentary energy considered constants of integration coso cross-section cut shell defined deformation designed shell determine the shape distribution and hole elastic ellipse end plate equation of 3.1 equilibrium equations exact solution Example lamination sequence experimental Figure finite element finite element analysis finite element method force per unit Hoop stresses hydrostatic compression hydrostatic pressure Lamina properties Lamina thickness lap joint Lowest buckling mode mid plane mylar sheets neutral hole obtained planar loading plate under planar problem Radial displacement rectangular reinforced shell Reinforcement distribution reinforcement properties Reinforcement thickness reinforcing member Sectional area Shape of neutral shape optimization shear force shell structures shell theory shown in Fig sin’o small element stress function stress resultants twisting moments twisting rigidities uncut shell unit length unsymmetrically laminated plate values