Utility of Energy Density and Optimization of Eigen Frequencies

Abstract

It has not been solved that the fruits and vegetables such as strawberries, cells, blood and a bottle of sake are damaged, broken during transportation. It is the greatest factor in this situation that there is a dangerous vibration frequency range where these are easy to scratch and are prone to death. If there are eigen frequencies within this dangerous frequency range, it needs to be redesigned such that the eigen frequencies within this dangerous frequency range are moved out of the range. But it is difficult to apply the existing topology optimization methods to control plural eigen frequencies. Although in such way, it is very difficult to control plural eigen frequencies, here we propose a new high precision and high efficiency method for controlling plural eigen frequencies simultaneously using the kinetic energy density and the strain energy density. The most important point is that with this new method, we are able to find many solutions on various topologies which cannot be found with the conventional topology optimization method.