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Copy pathBoundaryCondition.m
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BoundaryCondition.m
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function [prescribedbdof,activedof] = BoundaryCondition(my,mx,ncp,ndof,sdof,Coordinate,typeBC)
% Nodal Extraction
CP = reshape(1:ncp,my,mx);
L1 = CP(1,:)';
L2 = CP(:,end);
L3 = CP(end,:)';
L4 = CP(:,1);
% Geometry Extraction
% L1 = find(Coordinate(:,2)==min(Coordinate(:,2)))'; % at y = 0 (along X-axes)
% L2 = find(Coordinate(:,1)==max(Coordinate(:,1)))'; % at x = a (along Y-axes)
% L3 = find(Coordinate(:,2)==max(Coordinate(:,2)))'; % at y = b (along X-axes)
% L4 = find(Coordinate(:,1)==min(Coordinate(:,1)))'; % at x = 0 (along Y-axes)
switch typeBC
case 'SSSS1'
fprintf('Movable SSSS-1-NPSDT : Simply supported BCs\n');
dofL1 = [L1*ndof-6 L1*ndof-4 L1*ndof-3 L1*ndof-1];
dofL3 = [L3*ndof-6 L3*ndof-4 L3*ndof-3 L3*ndof-1];
dofL2 = [L2*ndof-5 L2*ndof-4 L2*ndof-2 L2*ndof-0];
dofL4 = [L4*ndof-5 L4*ndof-4 L4*ndof-2 L4*ndof-0];
L1UL3 = union(dofL1,dofL3);
L2UL4 = union(dofL2,dofL4);
bcdof = union(L1UL3,L2UL4);
prescribedbdof = sort(bcdof);
case 'SSSS2'
fprintf('SSSS-2-NPSDT : Simply supported BCs\n');
dofL1 = [L1*ndof-5 L1*ndof-4 L1*ndof-3 L1*ndof-1];
dofL3 = [L3*ndof-5 L3*ndof-4 L3*ndof-3 L3*ndof-1];
dofL2 = [L2*ndof-6 L2*ndof-4 L2*ndof-2 L2*ndof-0];
dofL4 = [L4*ndof-6 L4*ndof-4 L4*ndof-2 L4*ndof-0];
L1UL3 = union(dofL1,dofL3);
L2UL4 = union(dofL2,dofL4);
bcdof = union(L1UL3,L2UL4);
prescribedbdof = sort(bcdof);
case 'SSSS3'
fprintf('Immovable/Hard SSSS-3-NPSDT : Simply supported BCs\n');
dofL1 = [L1*ndof-6 L1*ndof-5 L1*ndof-4 L1*ndof-3 L1*ndof-1];
dofL3 = [L3*ndof-6 L3*ndof-5 L3*ndof-4 L3*ndof-3 L3*ndof-1];
dofL2 = [L2*ndof-6 L2*ndof-5 L2*ndof-4 L2*ndof-2 L2*ndof-0];
dofL4 = [L4*ndof-6 L4*ndof-5 L4*ndof-4 L4*ndof-2 L4*ndof-0];
L1UL3 = union(dofL1,dofL3);
L2UL4 = union(dofL2,dofL4);
bcdof = union(L1UL3,L2UL4);
prescribedbdof = sort(bcdof);
case 'SSSS4'
fprintf('Immovable/Soft SSSS-4-NPSDT : Simply supported BCs \n');
dofL1 = [L1*ndof-6 L1*ndof-5 L1*ndof-4];
dofL3 = [L3*ndof-6 L3*ndof-5 L3*ndof-4];
dofL2 = [L2*ndof-6 L2*ndof-5 L2*ndof-4];
dofL4 = [L4*ndof-6 L4*ndof-5 L4*ndof-4];
L1UL3 = union(dofL1,dofL3);
L2UL4 = union(dofL2,dofL4);
bcdof = union(L1UL3,L2UL4);
prescribedbdof = sort(bcdof);
case 'CCCC'
fprintf('CCCC : Plate is clamped BCs\n');
dofL1 = [L1*ndof-6 L1*ndof-5 L1*ndof-4 L1*ndof-3 L1*ndof-2 L1*ndof-1 L1*ndof-0];
dofL3 = [L3*ndof-6 L3*ndof-5 L3*ndof-4 L3*ndof-3 L3*ndof-2 L3*ndof-1 L3*ndof-0];
dofL2 = [L2*ndof-6 L2*ndof-5 L2*ndof-4 L2*ndof-3 L2*ndof-2 L2*ndof-1 L2*ndof-0];
dofL4 = [L4*ndof-6 L4*ndof-5 L4*ndof-4 L4*ndof-3 L4*ndof-2 L4*ndof-1 L4*ndof-0];
L1UL3 = union(dofL1,dofL3);
L2UL4 = union(dofL2,dofL4);
bcdof = union(L1UL3,L2UL4);
prescribedbdof = sort(bcdof);
otherwise
for iBC = 1:4
if typeBC(iBC) == 'S' && typeBC(5) == '1'
if iBC == 1
dofL1 = [L1*ndof-6 L1*ndof-4 L1*ndof-3 L1*ndof-1];
elseif iBC == 3
dofL3 = [L3*ndof-6 L3*ndof-4 L3*ndof-3 L3*ndof-1];
elseif iBC == 2
dofL2 = [L2*ndof-5 L2*ndof-4 L2*ndof-2 L2*ndof-0];
elseif iBC ==4
dofL4 = [L4*ndof-5 L4*ndof-4 L4*ndof-2 L4*ndof-0];
end
elseif typeBC(iBC) == 'S' && typeBC(5) == '2'
if iBC == 1
dofL1 = [L1*ndof-5 L1*ndof-4 L1*ndof-3 L1*ndof-1];
elseif iBC == 3
dofL3 = [L3*ndof-5 L3*ndof-4 L3*ndof-3 L3*ndof-1];
elseif iBC == 2
dofL2 = [L2*ndof-6 L2*ndof-4 L2*ndof-2 L2*ndof-0];
elseif iBC ==4
dofL4 = [L4*ndof-6 L4*ndof-4 L4*ndof-2 L4*ndof-0];
end
elseif typeBC(iBC) == 'S' && typeBC(5) == '3'
if iBC == 1
dofL1 = [L1*ndof-6 L1*ndof-5 L1*ndof-4 L1*ndof-3 L1*ndof-1];
elseif iBC == 3
dofL3 = [L3*ndof-6 L3*ndof-5 L3*ndof-4 L3*ndof-3 L3*ndof-1];
elseif iBC == 2
dofL2 = [L2*ndof-6 L2*ndof-5 L2*ndof-4 L2*ndof-2 L2*ndof-0];
elseif iBC ==4
dofL4 = [L4*ndof-6 L4*ndof-5 L4*ndof-4 L4*ndof-2 L4*ndof-0];
end
elseif typeBC(iBC) == 'S' && typeBC(5) == '4'
if iBC == 1
dofL1 = [L1*ndof-6 L1*ndof-5 L1*ndof-4];
elseif iBC == 3
dofL3 = [L3*ndof-6 L3*ndof-5 L3*ndof-4];
elseif iBC == 2
dofL2 = [L2*ndof-6 L2*ndof-5 L2*ndof-4];
elseif iBC ==4
dofL4 = [L4*ndof-6 L4*ndof-5 L4*ndof-4];
end
elseif typeBC(iBC) == 'C'
if iBC == 1
dofL1 = [L1*ndof-6 L1*ndof-5 L1*ndof-4 L1*ndof-3 L1*ndof-2 L1*ndof-1 L1*ndof-0];
elseif iBC == 3
dofL3 = [L3*ndof-6 L3*ndof-5 L3*ndof-4 L3*ndof-3 L3*ndof-2 L3*ndof-1 L3*ndof-0];
elseif iBC == 2
dofL2 = [L2*ndof-6 L2*ndof-5 L2*ndof-4 L2*ndof-3 L2*ndof-2 L2*ndof-1 L2*ndof-0];
elseif iBC == 4
dofL4 = [L4*ndof-6 L4*ndof-5 L4*ndof-4 L4*ndof-3 L4*ndof-2 L4*ndof-1 L4*ndof-0];
end
elseif typeBC(iBC) == 'F'
if iBC == 1
dofL1 = [];
elseif iBC == 3
dofL3 = [];
elseif iBC == 2
dofL2 = [];
elseif iBC == 4
dofL4 = [];
end
else
error('Check Boundary Condition\n');
end
end
L1UL3 = union(dofL1,dofL3);
L2UL4 = union(dofL2,dofL4);
bcdof = union(L1UL3,L2UL4);
prescribedbdof = sort(bcdof);
end
activedof = setdiff(1:sdof,prescribedbdof);
end