Creating Multiple Arrays within a For Loop

I'm wondering if there is a way the create multiple new arrays within a for loop.

I have the following equation that I'm trying to use.

The right hand side 3x1s are constant, but there are multiple values of z which then change 3x1 value on the left hand side.

Is there way that I could have z1 give LHS array 1, z2 give LHS array 2 and so within a for loop?

Answer 1

[Matt J]

You wouldn't do that with a loop. You would just use vector arithemtic,

eps0=rand(3,1); %fake RHS data
kappa=rand(3,1);
z=rand(1,20);

eps=eps0+kappa*z;

epsxx=eps(1,:);
epsyy=eps(2,:);
gammaxy=eps(3,:);

[Rémi Durocher]

Okay, still a little confused how the last part works. (Fairly new to working with matlab)

epsxx=eps(1,:);
epsyy=eps(2,:);
gammaxy=eps(3,:);

epsxx has all the values for eps0(xx), epsyy has values for eps0(yy) and gammaxy has eps0(xy), but is it possible to store each value from the corresponding z together automatically rather then seperatly?

To elaborate a little more, exx,eyy and gammaxy are strains and z corresponds to position. Say I have two z poisitions, is it possible to have something that results like

strain(z1)=[epsxx(z1);epsyy(z1);gammaxy(z1)];
strain(z2)=[epsxx(z2);epsyy(z2);gammaxy(z3)];

[Matt J]

Let's rename things a bit,

strain=eps0+kappa*z;   %formerly eps=eps0+kapp*z

Here, strain will be a 3xN matrix whose columns are each of the N strains. So you have all of your results in that one matrix.

[Rémi Durocher]

That makes a lot more sense. Thanks for your help!