by Razin UTM | Apr 1, 2023 | MATLAB
Radial Basis Function (RBF) The radial basis function (RBF), also known as the Radial Point Interpolation Method (RPIM), is a meshfree method used to construct an interpolated function to fit a curve. It uses a set of radial basis functions to interpolate between...
by Razin UTM | Mar 11, 2023 | MATLAB
The point interpolation method (PIM) is a meshfree method used for fitting a curve based on a set of nodal values at specified locations. The PIM uses polynomial interpolation to fit the curve, and the number of polynomial terms required increases with the number of...
by Razin UTM | Aug 31, 2021 | FEM, MATLAB
1D Shape Function clear, clcsyms xq = 2; %order of poly (eg. quad–> q=2)L = 1; %create ux = a1 + a2x + …A1 = []; A0 = []; %temporary variablesux = 0;for i = 1:q+1aN = [‘a’ num2str(i)];syms(aN);ux = ux + aN*x^(i-1);A0 =...
by Razin UTM | May 16, 2021 | MATLAB
Bar | k1 = E*A/L * [1 -1 ; -1 1] r1 = [q*L/2 ; q*L/2] Beam | ka = 12*E*I/L^3 kb = 6*E*I/L^2 kc = 4*E*I/L kd = 2*E*I/L k1 = [ ka kb -ka kb; kb kc -kb kd; -ka -kb ka -kb; kb kd -kb kc] q1 = [q*L/2; q*L^2/12; q*L/2; -q*L^2/12] Truss | c = cos(B); s = sin(B);k1 = E*A/L*...
by Razin UTM | Jul 14, 2020 | MATLAB
function [node_xy,elem_node] = ElemQ9(L,H,m,n,varargin) % ====================================================% % function to create Q9 elements (2D) % % INPUT: % % > length (L) and height (H), % % > division over x (m) and division over y (n) % % > option...
by Razin UTM | Jul 14, 2020 | MATLAB
function [node_xy,elem_node] = ElemQ4(L,H,m,n,varargin) % ====================================================% % function to create Q4 elements (2D) % % INPUT: % % > length (L) and height (H), % % > division over x (m) and division over y (n) % % > option...
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