PMC

Boundary constraints and loading conditions for circular and non-porous SP-HC. (a) Simply supported at the periphery and uniformly distributed bending moment under boundary action; (b) simply supported at the periphery, subjected to transverse uniform load; (c) fixed-end supported at the periphery, subjected to transverse uniform load; (d) simply supported at the periphery, subjected to local transverse uniform load; (e) fixed-end supported at the periphery, subject to local transverse uniform load; (f) simply supported at the periphery, subject to central concentrated force; (g) fixed-end supported at the periphery, subject to central concentrated force; (h) the top view of the circular sandwich plate simply supported at its periphery; and (i) the top view of the circular sandwich plate fixed-end supported at its periphery.

Boundary constraint conditions and loading conditions for annular SP-HC: (a) uniformly distributed bending moments M₁ and M₂ acting on the outer boundary simply supported, inner and outer boundaries, respectively; (b) simply supported at the outer boundary and uniform shear force Q₀ acting along the inner edge; (c) simply supported at the outer boundary and fixed-end supported at the inner edge; (d) force diagram of the circular plate simply supported at the outer boundary and fixed-end supported at the inner edge.

Example 1: Types of boundary conditions for simply supported plate and their symbols. Four versions of boundary conditions: [mh], [ms], [bh], and [bs]. (a) boundary condition in the middle of the plate thickness [m{h,s}]; (b) boundary condition at the bottom of the plate thickness [b{h,s}]; (c) hard simply supported [{m,b}h]; (d) soft simply supported [{m,b}s].

Convergence graphs for simply supported plate (multiplier ).