Reconciling Spacetime Continuity and Discreteness using Information Theory
Dealing with discreteness
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Dealing with discreteness • Laminate thickness must be integer multiple of basic ply thickness. • Ply orientations often need to be selected from a small set of angles, e.g. • In terms of optimization algorithms we transition from algorithms that use derivatives to algorithms that do not. • Integer programming is usually
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Dealing with discreteness. Laminate thickness must be integer multiple of basic ply thickness. Ply orientations often need to be selected from a small set of angles, e.g. In terms of optimization algorithms we transition from algorithms that use derivatives to algorithms that do not. - PowerPoint PPT Presentation
Transcript of Dealing with discreteness
Dealing with discreteness
Dealing with discreteness
Finite number of points and excluded regions
Which points do we lose with balance condition?Diagram is for 8-ply laminate. What will change and what will remain the same for 12 plies?
Continuous Example 4.2.1
Where on diagram?
Different visualization
Example 4.3.1
2.3 Bending deformation of isotropic layer classical lamination theoryBending response of a single layer
Bending stresses proportional to curvatures
Hookes lawMoment resultants
D-matrix (EI per unit width)
Bending of symmetrically laminated layers
The power of distance from mid-plane
