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clear;
clc;

%loading history

dt=0.01;
ti=0.0008;
te=12;
t=ti:dt:te;
pt=(10*t./1.5).*(t>=0 & t<=1.5)+(20-10*t./1.5).*(t>1.5 & t<=3)+0.*(t>3);
m=length(pt);

%load distribution in space

rp=0.1;
ri=0;
rc=0.1;
dr=0.001;
r=ri:dr:rc;
pr=1*(r<=rp)+0*(r>rp);
n=length(pr);

%load function with respect to t and r

p=pr.'*pt;

%green's function

G=1;
cs=1;
for i=1:1:m
  for j=1:1:n
    u(j,i)=heaviside(cs*t(i)-r(j))/(pi*G*sqrt(t(i)^2-(r(j)/cs)^2));
  end
end

%convolution and response of displacement

for i=1:1:m
  for j=1:1:n
    v(j,i)=0;
    for k=1:1:i
      for g=1:1:j
        v(j,i)=v(j,i)+p(g,k)*u(j-g+1,i-k+1)*dr*dt;
      end;
    end;
  end;
end;

%plot the response history

plot(t,v(n,);
xlabel('t/s');
ylabel('v/m');
grid on;
title('response of point A or C');

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clear;
clc;

%loading history

dt=0.01;
ti=0.0008;
te=12;
t=ti:dt:te;
pt=(10*t./1.5).*(t>=0 & t<=1.5)+(20-10*t./1.5).*(t>1.5 & t<=3)+0.*(t>3);
m=length(pt);

%load distribution in space

rp=0.1;
ri=0;
rc=0.1;
dr=0.001;
r=ri:dr:rc;
pr=1*(r<=rp)+0*(r>rp);
n=length(pr);

%load function with respect to t and r

p=pr.'*pt;

%green function

G=1;
cs=1;
for i=1:1:m
  for j=1:1:n
    u(j,i)=heaviside(cs*t(i)-r(j))/(pi*G*sqrt(t(i)^2-(r(j)/cs)^2));
  end
end

%convolution and response of displacement

v=conv2(u,p);

%plot the response history

rr=r(n);
[tpu,rpu]=meshgrid(ti:dt:2*te-dt,ri:dr:2*rc);
[X,Y,Z]=meshgrid(linspace(min(tpu(),max(tpu()),linspace(min(rpu(),max(rpu()),linspace(min(v(),max(v()));
V=Y;
h=contourslice(X,Y,Z,V,tpu,rpu,v,[0 0]+rr);
set(h,'edgecolor','k');
contourslice(X,Y,Z,V,tpu,rpu,v,[0 0]+rr);
xlabel('t/s');
ylabel('r/m');
zlabel('v/m');
axis([0 12 0 0.1 0 12e4]);
view(0,0);
grid on;
title('displacement response history of point A or C');
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