|
|
||
|
|
|
|
from the "Research" page of Dr. Alexander Yevkin's (Evkin's) home page:
http://www.soft4structures.com/yevkin/
Dr. Yevkin writes: "To obtain the solution in the entire range of deflection amplitude, we can construct a linear or nonlinear one by small deflections and then join both asymptotic expansions by small and large deflections. This approach is illustrated for the case of spherical shell under concentrated load in this figure.
Here, curve 5 corresponds to the asymptotic solution by large deflections, line 2 corresponds to the linear solution, curve 3 is the next step of the nonlinear asymptotic approximation of solution by small deflections, curves 4 and 5 represent result of joining both asymptotic expansions. The numerical solution is shown as a dashed line. The experimental results, which have been obtained by testing the clamped semi-spherical rubber shell [previous slide], are marked in this figure by circles and crosses.
Page 55 / 256