Longitudinal Vibrations of a Mass on a Rubber Spring
Let us consider a cantilever of length and width and depth , fully fixed at . The cantilever is made of the Neo-Hookean material of density (considered zero). At position an additional mass is added, equally distributed to all four nodes located at . The cantilever, initally at rest, is subjected to acceleration in direction. The numerical solution is tested on motion of the point at position .
The analytical solution of the problem, considering small strain limit, yields
which gives us frequency .
The model consists of twenty-five BRICK24 elements.
|Theory||ANSYS (HYPER58)||femCalc (BRICK24)|