You are here
strains from the given Displacements with given X Y values by Radial Basis Function Thin Plate Spline in MATLAB
Dear Researchers
I have attach a text file with this message in which I have written all my code. I have applied the Radial Basis Function (interpolation) to find approximated displacements.
f = RBF(r)*a
f = given values e-g displacements to be approximate
RBF(r)= Radal Basis function (Thin Plate spline)
a= Radial Basis Function coefficient
X= x distance from the origin (given) (first column of disppoints)
Y= y distance from the origin (given)(second column of disppoints) For example as below
X Y f(U)
1 5 4
7 4 3
1 7 6
4 8 7
1 7 9
I have found the approximated displacements f(approx) and from these displacements I want to find the strains E.
forexample if I approximate U1 here which is f(approx) then strain E11=delta U1/delta X
If I approximate U2 then then E22 = delta U2/Delta Y
If U1 U2 approximated then shear strain E12 = 1/2[Delta U1/Delta Y + Delta U2/ Delta X].
Can anybody tell me how I implement this in Matlab to find strains by using these formulas as we know all the values on right hand side.
Should I apply For Loop by making another function of strains?
Kindly reply me I will be very thankful to you.
Attachment | Size |
---|---|
disppoints.txt | 14.78 KB |
Recent comments