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.
| Published in | International Journal of Mechanical Engineering and Applications (Volume 12, Issue 2) |
| DOI | 10.11648/j.ijmea.20241202.11 |
| Page(s) | 37-49 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
IEDT Change Method, Frequency Response, Topology Optimization, Density Method, Index of Generalized Eigen Frequency, Kinetic Energy Density, Strain Energy Density, Danger Frequency Band
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APA Style
Yang, Y., Sasaki, T., Abe, A., Hagiwara, I. (2024). The Outstanding Excellences of Interactive Energy Density Topology Change Method. International Journal of Mechanical Engineering and Applications, 12(2), 37-49. https://doi.org/10.11648/j.ijmea.20241202.11
ACS Style
Yang, Y.; Sasaki, T.; Abe, A.; Hagiwara, I. The Outstanding Excellences of Interactive Energy Density Topology Change Method. Int. J. Mech. Eng. Appl. 2024, 12(2), 37-49. doi: 10.11648/j.ijmea.20241202.11
AMA Style
Yang Y, Sasaki T, Abe A, Hagiwara I. The Outstanding Excellences of Interactive Energy Density Topology Change Method. Int J Mech Eng Appl. 2024;12(2):37-49. doi: 10.11648/j.ijmea.20241202.11
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Download@article{10.11648/j.ijmea.20241202.11,
author = {Yang Yang and Toshie Sasaki and Aya Abe and Ichiro Hagiwara},
title = {The Outstanding Excellences of Interactive Energy Density Topology Change Method
},
journal = {International Journal of Mechanical Engineering and Applications},
volume = {12},
number = {2},
pages = {37-49},
doi = {10.11648/j.ijmea.20241202.11},
url = {https://doi.org/10.11648/j.ijmea.20241202.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20241202.11},
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.
},
year = {2024}
}
TY - JOUR T1 - The Outstanding Excellences of Interactive Energy Density Topology Change Method AU - Yang Yang AU - Toshie Sasaki AU - Aya Abe AU - Ichiro Hagiwara Y1 - 2024/04/02 PY - 2024 N1 - https://doi.org/10.11648/j.ijmea.20241202.11 DO - 10.11648/j.ijmea.20241202.11 T2 - International Journal of Mechanical Engineering and Applications JF - International Journal of Mechanical Engineering and Applications JO - International Journal of Mechanical Engineering and Applications SP - 37 EP - 49 PB - Science Publishing Group SN - 2330-0248 UR - https://doi.org/10.11648/j.ijmea.20241202.11 AB - 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. VL - 12 IS - 2 ER -
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan
