Modal Strain Based Method for Dynamic Design of Plate-Like Structures
Design optimization of dynamic properties, for example, modal frequencies, can be of much importance when structures are exposed to the shock and/or vibration environments. A modal strain based method is proposed for fast design of natural frequencies of plate-like structures. The basic theory of mo...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/2050627 |
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| _version_ | 1832564161433829376 |
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| author | Yadong Zhou Shaoqing Wu Natasa Trisovic Qingguo Fei Zhiyong Tan |
| author_facet | Yadong Zhou Shaoqing Wu Natasa Trisovic Qingguo Fei Zhiyong Tan |
| author_sort | Yadong Zhou |
| collection | DOAJ |
| description | Design optimization of dynamic properties, for example, modal frequencies, can be of much importance when structures are exposed to the shock and/or vibration environments. A modal strain based method is proposed for fast design of natural frequencies of plate-like structures. The basic theory of modal strains of thin plates is reviewed. The capability of determining the highly sensitive elements by means of modal strain analysis is theoretically demonstrated. Finite element models were constructed in numerical simulations. Firstly, the application of the proposed method is conducted on a central-massed flat plate which was topologically optimized by the Reference. The results of modal strain analysis at the first mode have good agreement with the results from the topology optimization. Furthermore, some features of the strain mode shapes (SMSs) of the flat plate are investigated. Finally, the SMSs are applied to the optimization of a stiffened plate. Attention is focused on the distributions of the SMSs of the stiffeners, which also shows good agreement with the results from the topology optimization in the previous study. Several higher orders of SMSs are extracted, which can visualize the most sensitive elements to the corresponding modal frequency. In summary, both the theory and simulations validate the correctness and convenience of applying SMSs to dynamic design of plate-like structures. |
| format | Article |
| id | doaj-art-f3c889f9bad347f3aeea83acd5d1af18 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f3c889f9bad347f3aeea83acd5d1af182025-02-03T01:11:43ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/20506272050627Modal Strain Based Method for Dynamic Design of Plate-Like StructuresYadong Zhou0Shaoqing Wu1Natasa Trisovic2Qingguo Fei3Zhiyong Tan4Department of Engineering Mechanics, Southeast University, Nanjing 210096, ChinaDepartment of Engineering Mechanics, Southeast University, Nanjing 210096, ChinaDepartment of Mechanics, University of Belgrade, 11120 Belgrade, SerbiaDepartment of Engineering Mechanics, Southeast University, Nanjing 210096, ChinaState Key Laboratory of Space Physics, Beijing 100076, ChinaDesign optimization of dynamic properties, for example, modal frequencies, can be of much importance when structures are exposed to the shock and/or vibration environments. A modal strain based method is proposed for fast design of natural frequencies of plate-like structures. The basic theory of modal strains of thin plates is reviewed. The capability of determining the highly sensitive elements by means of modal strain analysis is theoretically demonstrated. Finite element models were constructed in numerical simulations. Firstly, the application of the proposed method is conducted on a central-massed flat plate which was topologically optimized by the Reference. The results of modal strain analysis at the first mode have good agreement with the results from the topology optimization. Furthermore, some features of the strain mode shapes (SMSs) of the flat plate are investigated. Finally, the SMSs are applied to the optimization of a stiffened plate. Attention is focused on the distributions of the SMSs of the stiffeners, which also shows good agreement with the results from the topology optimization in the previous study. Several higher orders of SMSs are extracted, which can visualize the most sensitive elements to the corresponding modal frequency. In summary, both the theory and simulations validate the correctness and convenience of applying SMSs to dynamic design of plate-like structures.http://dx.doi.org/10.1155/2016/2050627 |
| spellingShingle | Yadong Zhou Shaoqing Wu Natasa Trisovic Qingguo Fei Zhiyong Tan Modal Strain Based Method for Dynamic Design of Plate-Like Structures Shock and Vibration |
| title | Modal Strain Based Method for Dynamic Design of Plate-Like Structures |
| title_full | Modal Strain Based Method for Dynamic Design of Plate-Like Structures |
| title_fullStr | Modal Strain Based Method for Dynamic Design of Plate-Like Structures |
| title_full_unstemmed | Modal Strain Based Method for Dynamic Design of Plate-Like Structures |
| title_short | Modal Strain Based Method for Dynamic Design of Plate-Like Structures |
| title_sort | modal strain based method for dynamic design of plate like structures |
| url | http://dx.doi.org/10.1155/2016/2050627 |
| work_keys_str_mv | AT yadongzhou modalstrainbasedmethodfordynamicdesignofplatelikestructures AT shaoqingwu modalstrainbasedmethodfordynamicdesignofplatelikestructures AT natasatrisovic modalstrainbasedmethodfordynamicdesignofplatelikestructures AT qingguofei modalstrainbasedmethodfordynamicdesignofplatelikestructures AT zhiyongtan modalstrainbasedmethodfordynamicdesignofplatelikestructures |