Maintaining Specific Natural Frequency of Damped System despite Mass Modification
In aerospace engineering, structural modifications play an essential role in design of structures. In some cases, it is necessary to guarantee that a specific natural frequency of the structure remains unchanged when additional masses are attached. The methods based on the Sherman-Morrison formula a...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/1947506 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552177538695168 |
|---|---|
| author | Rui Zhu Qingguo Fei Dong Jiang Zhifu Cao |
| author_facet | Rui Zhu Qingguo Fei Dong Jiang Zhifu Cao |
| author_sort | Rui Zhu |
| collection | DOAJ |
| description | In aerospace engineering, structural modifications play an essential role in design of structures. In some cases, it is necessary to guarantee that a specific natural frequency of the structure remains unchanged when additional masses are attached. The methods based on the Sherman-Morrison formula are proposed in this paper, called the optimal selection method and the absolute value method, to maintain the specific natural frequency. The methods are both implemented by installing a spring on the system and can eliminate the effect of the additional mass on the specific frequency. The proposed methods were verified to be effective and accurate through numerical simulations. Results show that the optimal selection method has similar applicability as the existing real value method, and both methods are applicable only in cases of small damping. In addition, the absolute value method has extensive applicability in systems with either small or large damping. |
| format | Article |
| id | doaj-art-b476851f9d9445d6a312dc3554c6e717 |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-b476851f9d9445d6a312dc3554c6e7172025-02-03T05:59:21ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742019-01-01201910.1155/2019/19475061947506Maintaining Specific Natural Frequency of Damped System despite Mass ModificationRui Zhu0Qingguo Fei1Dong Jiang2Zhifu Cao3School of Mechanical Engineering, Southeast University, Nanjing 210096, ChinaSchool of Mechanical Engineering, Southeast University, Nanjing 210096, ChinaSchool of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, 210037, ChinaInstitute of Aerospace Machinery and Dynamics, Southeast University, Nanjing, 211189, ChinaIn aerospace engineering, structural modifications play an essential role in design of structures. In some cases, it is necessary to guarantee that a specific natural frequency of the structure remains unchanged when additional masses are attached. The methods based on the Sherman-Morrison formula are proposed in this paper, called the optimal selection method and the absolute value method, to maintain the specific natural frequency. The methods are both implemented by installing a spring on the system and can eliminate the effect of the additional mass on the specific frequency. The proposed methods were verified to be effective and accurate through numerical simulations. Results show that the optimal selection method has similar applicability as the existing real value method, and both methods are applicable only in cases of small damping. In addition, the absolute value method has extensive applicability in systems with either small or large damping.http://dx.doi.org/10.1155/2019/1947506 |
| spellingShingle | Rui Zhu Qingguo Fei Dong Jiang Zhifu Cao Maintaining Specific Natural Frequency of Damped System despite Mass Modification International Journal of Aerospace Engineering |
| title | Maintaining Specific Natural Frequency of Damped System despite Mass Modification |
| title_full | Maintaining Specific Natural Frequency of Damped System despite Mass Modification |
| title_fullStr | Maintaining Specific Natural Frequency of Damped System despite Mass Modification |
| title_full_unstemmed | Maintaining Specific Natural Frequency of Damped System despite Mass Modification |
| title_short | Maintaining Specific Natural Frequency of Damped System despite Mass Modification |
| title_sort | maintaining specific natural frequency of damped system despite mass modification |
| url | http://dx.doi.org/10.1155/2019/1947506 |
| work_keys_str_mv | AT ruizhu maintainingspecificnaturalfrequencyofdampedsystemdespitemassmodification AT qingguofei maintainingspecificnaturalfrequencyofdampedsystemdespitemassmodification AT dongjiang maintainingspecificnaturalfrequencyofdampedsystemdespitemassmodification AT zhifucao maintainingspecificnaturalfrequencyofdampedsystemdespitemassmodification |