Free vibration of in-plane bi-directional functionally graded materials rectangular plates with geometric imperfections and general elastic restraints
This research addresses the free vibration performance of bi-directional functionally graded materials (BDFGMs) rectangular plate with general boundary restraints and geometrical imperfections. The symmetric/asymmetric material distributions subject to power-law along in-plane two directions are con...
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| Published in | Aerospace science and technology Vol. 132; p. 108045 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Masson SAS
01.01.2023
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| Subjects | |
| Online Access | Get full text |
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| Abstract | This research addresses the free vibration performance of bi-directional functionally graded materials (BDFGMs) rectangular plate with general boundary restraints and geometrical imperfections. The symmetric/asymmetric material distributions subject to power-law along in-plane two directions are considered. Two types of geometric imperfections are formulated employing transcendental functions, including the sine-type imperfection which is global eccentric/symmetrical and depicted by sine and exponential functions, and the cosine-type global/localized imperfections which is simulated by hyperbolic and cosine functions. The general boundary restraints are imitated by artificial virtual springs. The Lagrangian energy function is formulated, and then vibration characteristics of plates are acquired with the Ritz method and improved Fourier series. Verifications are carried out for accuracy of theoretical model and reliability of solution method. A comprehensive numerical investigation are exhibited to explore the influencing mechanism of material distribution patterns, geometrical imperfection modal and elastic boundary restraints on vibration performance of rectangular plates. The results show that the in-plane material gradient can function as regulatory measures for dynamic characteristic of plates. In addition, geometric imperfections may cause singularity in vibration performance of plate. These innovative results may serve as a benchmark for future studies on design or analysis of plates. |
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| AbstractList | This research addresses the free vibration performance of bi-directional functionally graded materials (BDFGMs) rectangular plate with general boundary restraints and geometrical imperfections. The symmetric/asymmetric material distributions subject to power-law along in-plane two directions are considered. Two types of geometric imperfections are formulated employing transcendental functions, including the sine-type imperfection which is global eccentric/symmetrical and depicted by sine and exponential functions, and the cosine-type global/localized imperfections which is simulated by hyperbolic and cosine functions. The general boundary restraints are imitated by artificial virtual springs. The Lagrangian energy function is formulated, and then vibration characteristics of plates are acquired with the Ritz method and improved Fourier series. Verifications are carried out for accuracy of theoretical model and reliability of solution method. A comprehensive numerical investigation are exhibited to explore the influencing mechanism of material distribution patterns, geometrical imperfection modal and elastic boundary restraints on vibration performance of rectangular plates. The results show that the in-plane material gradient can function as regulatory measures for dynamic characteristic of plates. In addition, geometric imperfections may cause singularity in vibration performance of plate. These innovative results may serve as a benchmark for future studies on design or analysis of plates. |
| ArticleNumber | 108045 |
| Author | Chen, Xiaochao Wu, Yiwan Xue, Xin Shao, Yichuan Wu, Zhangbin Lu, Yixin |
| Author_xml | – sequence: 1 givenname: Xiaochao orcidid: 0000-0003-2175-3020 surname: Chen fullname: Chen, Xiaochao organization: School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, 350116, PR China – sequence: 2 givenname: Yixin surname: Lu fullname: Lu, Yixin organization: School of Material Science and Environmental Engineering, Chengdu Technological University, Chengdu, 610031, PR China – sequence: 3 givenname: Zhangbin surname: Wu fullname: Wu, Zhangbin organization: School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, 350116, PR China – sequence: 4 givenname: Yichuan surname: Shao fullname: Shao, Yichuan organization: School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, 350116, PR China – sequence: 5 givenname: Xin surname: Xue fullname: Xue, Xin organization: School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, 350116, PR China – sequence: 6 givenname: Yiwan orcidid: 0000-0003-2195-6311 surname: Wu fullname: Wu, Yiwan email: wuyiwan@fzu.edu.cn organization: School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, 350116, PR China |
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