Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates
In the present study, a new method of predicting the dynamic behavior of a variable thickness (VT) cantilever plate by using a thin plate scaled model is proposed. The thin plate model, defined as the model thin (MT) plate, is designed by using the newly proposed similitude design method. The method...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-08-01
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| Series: | Applied Sciences |
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| Online Access: | http://www.mdpi.com/2076-3417/6/8/228 |
| _version_ | 1819169361622990848 |
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| author | Zhong Luo Yunpeng Zhu Haopeng Liu Deyou Wang |
| author_facet | Zhong Luo Yunpeng Zhu Haopeng Liu Deyou Wang |
| author_sort | Zhong Luo |
| collection | DOAJ |
| description | In the present study, a new method of predicting the dynamic behavior of a variable thickness (VT) cantilever plate by using a thin plate scaled model is proposed. The thin plate model, defined as the model thin (MT) plate, is designed by using the newly proposed similitude design method. The method is derived based on the transfer matrix of both the stepped thickness (ST) plate that is simplified by the VT plate and the thin plate. The thickness of the MT plate is calculated by introducing the equivalent thickness corresponding to each VT plate’s vibration modals, such that a series of accurate distorted scaling laws are provided to predict each corresponding property. Moreover, an algorithm of designing the MT plate is proposed and a design process is summarized in steps. Finally, an example, where the prototype VT plate is made of 42 CrMo and the MT plate is made of NO. 45 steel, is discussed to validate the proposed design method, showing that the MT plate, which is designed by using the proposed method, can accurately predict the dynamic properties of the prototype VT plate, and showing its significance in engineering practice. |
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| id | doaj.art-63bc9d8f5e774f96840c9f2ff79b22ac |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-22T19:18:17Z |
| publishDate | 2016-08-01 |
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| series | Applied Sciences |
| spelling | doaj.art-63bc9d8f5e774f96840c9f2ff79b22ac2022-12-21T18:15:27ZengMDPI AGApplied Sciences2076-34172016-08-016822810.3390/app6080228app6080228Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever PlatesZhong Luo0Yunpeng Zhu1Haopeng Liu2Deyou Wang3School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, ChinaDepartment of Automatic Control and System Engineering, University of Sheffield, Sheffield S13JD, UKSchool of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, ChinaAVIC Shenyang Aero-engine Design Institute, Shenyang 110042, ChinaIn the present study, a new method of predicting the dynamic behavior of a variable thickness (VT) cantilever plate by using a thin plate scaled model is proposed. The thin plate model, defined as the model thin (MT) plate, is designed by using the newly proposed similitude design method. The method is derived based on the transfer matrix of both the stepped thickness (ST) plate that is simplified by the VT plate and the thin plate. The thickness of the MT plate is calculated by introducing the equivalent thickness corresponding to each VT plate’s vibration modals, such that a series of accurate distorted scaling laws are provided to predict each corresponding property. Moreover, an algorithm of designing the MT plate is proposed and a design process is summarized in steps. Finally, an example, where the prototype VT plate is made of 42 CrMo and the MT plate is made of NO. 45 steel, is discussed to validate the proposed design method, showing that the MT plate, which is designed by using the proposed method, can accurately predict the dynamic properties of the prototype VT plate, and showing its significance in engineering practice.http://www.mdpi.com/2076-3417/6/8/228variable thicknessthin platetransfer matrixdistorted modelscaling laws |
| spellingShingle | Zhong Luo Yunpeng Zhu Haopeng Liu Deyou Wang Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates Applied Sciences variable thickness thin plate transfer matrix distorted model scaling laws |
| title | Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates |
| title_full | Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates |
| title_fullStr | Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates |
| title_full_unstemmed | Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates |
| title_short | Dynamic Similitude Design Method of the Distorted Model on Variable Thickness Cantilever Plates |
| title_sort | dynamic similitude design method of the distorted model on variable thickness cantilever plates |
| topic | variable thickness thin plate transfer matrix distorted model scaling laws |
| url | http://www.mdpi.com/2076-3417/6/8/228 |
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