How is the expansion ratio for linear progression calculated?
The formula to calculate the expansion ration is given below. This will be useful in dealing with extrusion with a certain expansion. Height of the nth layer from the surface = h[1+(r-1)(n-1)] = [h(2-r)]+[h(r-1)n]…(after rearranging) where, “h” represents height of the first layer “r” represents the expansion ratio If number of required layers is N and total height is T. Then, T = [h(2-r)]N + [h(r-1)]{N(N+1)/2}…… Sum of first N natural numbers = [N(N+1)]/2 Solving for expansion ratio r, r = [2T + N(N-3)h] / [N(N-1)h] Above formula gives the expansion ratio based on initial(h),total height(T) and number of layers(N).
