Calculate radial displacement from X,Y,Z displacements of a cylinder node

Hello,

How do I calculate the radial displacement of a node on a cylinder from it's XYZ displacement. Center coordinate system sometimes is at center of the cylinder sometimes it's not. because I have more than one cylinder. I tried trignometry and the values does not make any sense. Below is the code I used. M\aybe what I need to calculate is the distance shown using the yellow line.

I have attached a sketch for reference. What am I missing here?

r=sqrt(bsxfun(@plus, bsxfun(@plus,x.^2,y.^2),z.^2 ));

[darova]

Something is missing. I want to hlep but don't know how

[Ash Ahamed]

Thanks

Let me put it this way. maybe that helps : let's say a 3 cylinders of an in-line engine and the center coord system is on the center of the first cylinder top. What I want is the radial deformation of all these 3 cylinders from their XYZ displacement values based on the center coord system.

[darova]

You should show such things on a drawing

Is D - displacement you want to calculate?

[Ash Ahamed]

I can calculate D using trignometry but it is not in the same plane as the node. let me try to update the image with more explanation.

[Ash Ahamed]

What I would want to calculate with be the distance showed by yellow line.

Answer 1

[darova]

THe solution

x1 = x + x_;
y1 = y + y_;
dr = sqrt(x1.^2+y1.^2) - r;

[Ash Ahamed]

Thanks

in this case wouldn't the dr be in a new plane not the plane of the original node?

[darova]

No. Radial displacement is always in XY plane