The Outstanding Excellences of Interactive Energy Density Topology Change Method

Yang Yang, Toshie Sasaki, Ayami Abe, Ichiro Hagiwara
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Abstract

It has not been solved that the fruits, vegetables, strawberries, cells, blood and a bottle of liquor are damaged, broken during transportation. It is the greatest factor in this situation that there is a danger vibration frequency band where these are easy to scratch and are prone to death. If there are eigen frequencies within this danger frequency band, it needs that those eigen frequencies within this danger frequency band are moved out of the band. In the former paper, it was shown difficult to apply the existing topology optimization methods using homogenization method or density method to control plural eigen frequencies for solving this problem. Therefore in the former paper, it was proposed the so called “Interactive Energy Density Topology (IEDT) change method” that is a new high precision and high efficiency method for controlling plural eigen frequencies simultaneously referring to the kinetic and the strain energy density distributions. Here it is discussed more about the IEDT change method and show that it is sometimes difficult for the traditional methods to get solutions because especially in the dynamic problem, eigen frequencies may go up or down depending on its size even if reinforcement or hall for change topology is applied at the same location. But with the proposed IEDT change method, always it can be realized because the proposed method has wider solution spaces than the traditional one. Lastly, it is shown that this IEDT method is also very effective to reduce the integral value of response curve by frequency.
交互式能量密度拓扑变化法的突出优势
水果、蔬菜、草莓、细胞、血液和一瓶白酒在运输过程中损坏、破损的问题一直没有得到解决。造成这种情况的最大因素是有一个危险的振动频段,在这个频段内,这些东西容易划伤,容易死亡。如果这个危险频段内有特征频率,就需要将这个危险频段内的特征频率移出频段。在前一篇论文中,现有的拓扑优化方法很难用均质化方法或密度方法来控制复数特征频率以解决这一问题。因此,前一篇论文提出了所谓的 "交互式能量密度拓扑(IEDT)变化方法",这是一种同时参考动能和应变能密度分布来控制复数特征频率的高精度、高效率的新方法。这里将详细讨论 IEDT 变化方法,并说明传统方法有时难以获得解决方案,因为特别是在动态问题中,即使在同一位置应用了拓扑变化加固或大厅,特征频率也会根据其大小而上升或下降。但采用所提出的 IEDT 变更方法后,由于所提出的方法比传统方法具有更宽的求解空间,因此总是可以实现。最后,这种 IEDT 方法还能有效降低频率响应曲线的积分值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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