90 lines
3.2 KiB
Matlab
90 lines
3.2 KiB
Matlab
%%%%%%%%%%% 一阶六面体单元绘制云图程序 %%%%%%%%%%%
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% Nodes节点坐标信息
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% Elements单元信息
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% U位移矩阵
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% Component云图上节点的值，可以是位移、应力、应变等
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function PlotContour(Nodes,Elements,U,Component)
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NodeCount = size(Nodes,1) ; % 节点个数
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ElementCount = size(Elements,1) ; %单元个数
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ElementNodeCount=8; %每个单元节点数
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% 矩阵初始化，X Y Z点的坐标：value点的值,对每个单元按照节点序号依次绘制云图
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X = zeros(ElementNodeCount,ElementCount) ;
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Y = zeros(ElementNodeCount,ElementCount) ;
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Z = zeros(ElementNodeCount,ElementCount) ;
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value = zeros(ElementNodeCount,ElementCount) ;
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%判断矩阵类型（位移，应力，应变）
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if size(Component,1)>1
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for i=1:ElementCount
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nd=Elements(i,:);
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value(:,i) = Component(nd) ;
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end
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else
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%先进行磨平，再把Component行向量转化成矩阵形式
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Difference=max(Component)-min(Component);%全域上的最大值-最小值
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AVG=0.75; % 默认阈值75%
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for i=1:1:NodeCount %遍历节点，进行应力磨平
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TElements=Elements';%转置Elements
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itemp=(TElements==i);%进行逻辑判断，itemp:元素为0 1的矩阵
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Cut=max(Component(1,itemp))-min(Component(1,itemp));%该节点的应力（应变）差
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if 0<Cut&&Cut<=AVG*Difference(1)%判断是否满足阈值条件
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Component(1,itemp)=mean(Component(1,itemp));%进行应力（应变）磨平
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end
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end
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value=reshape(Component,ElementNodeCount,ElementCount);%将Component的值赋给value
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end
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%定义colormap的颜色
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myColor=1/255*[0,0,255; 0,93,255; 0,185,255; 0,255,232;
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0,255,139; 0,255,46; 46,255,0; 139,255,0;
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232,255,0; 255,185,0; 255,93,0; 255,0,0];
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% 绘制变形后云图
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newNodes=Nodes';
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newNodes=newNodes(:);
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% DeformationCoefficient=5.0e2; %变形放大系数
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maxU=max(U);
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maxLength=max([max(Nodes(:,1))-min(Nodes(:,1)),max(Nodes(:,2))-min(Nodes(:,2)),max(Nodes(:,3))-min(Nodes(:,3))]);
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DeformationCoefficient=maxLength*0.2/maxU;
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newNodes=newNodes+DeformationCoefficient*U;
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newNodes=reshape(newNodes,[3,size(Nodes,1)]);
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newNodes=newNodes';
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% 定义单元每个面的节点顺序(顺时针或逆时针)
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if ElementNodeCount == 4 % C3D4单元
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fm = [1 2 4;2 3 4;3 1 4;1 3 2];
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elseif ElementNodeCount==6 %C3D6单元
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fm=[1 2 3 1;4 5 6 4;1 2 5 4;1 3 6 4;2 3 6 5];
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elseif ElementNodeCount == 8 % C3D8单元
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fm = [1 2 6 5; 2 3 7 6; 3 4 8 7; 4 1 5 8; 1 2 3 4; 5 6 7 8];
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elseif ElementNodeCount == 20 % C3D20单元
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fm = [1,9,2,10,3,11,4,12;5,13,6,14,7,15,8,16;1,9,2,18,6,13,5,17;
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2,10,3,19,7,14,6,18;3,11,4,20,8,15,7,19;1,17,5,16,8,20,4,12];
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end
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xyz = cell(1,ElementCount) ;
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profile = xyz ;
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%将节点位置赋予其对应值
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for e=1:ElementCount %循环获取每个单元内节点的坐标
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nd=Elements(e,:);
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X = newNodes(nd,1) ;
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Y = newNodes(nd,2) ;
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Z = newNodes(nd,3) ;
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xyz{e} = [X Y Z] ;
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profile{e} = value(:,e);
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end
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% 采用patch函数进行绘图
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figure
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cellfun(@patch,repmat({'Vertices'},1,ElementCount),xyz,.......%用多边形面片的方式显示各个面
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repmat({'Faces'},1,ElementCount),repmat({fm},1,ElementCount),......
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repmat({'FaceVertexCdata'},1,ElementCount),profile,......
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repmat({'FaceColor'},1,ElementCount),repmat({'interp'},1,ElementCount));
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view(3);
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rotate3d on;
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% axis off; %不显示坐标轴
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xlabel('X')
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ylabel('Y');
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zlabel('Z');
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colormap(myColor);
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caxis([min(Component),max(Component)]);
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t1=caxis;
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t1=linspace(t1(1),t1(2),13);
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colorbar('ytick',t1,'Location','westoutside');
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axis equal;
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end |