| 粘弹层合板的自由振动和横向应力 |
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| 引用本文： | 胡明勇,王安稳.粘弹层合板的自由振动和横向应力[J].应用数学和力学(英文版),2009,30(1):101-108. |
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| 作者姓名： | 胡明勇 王安稳 |
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| 作者单位： | College of Science, Naval University of Engineering, Wuhan 430033, P. R. China
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| 摘 要： | Based on Reddy＇s layerwise theory, the governing equations for dynamic response of viscoelastic laminated plate are derived by using the quadratic interpolation function for displacement in the direction of plate thickness. Vibration frequencies and loss factors are calculated for free vibration of simply supported viscoelastic sandwich plate, showing good agreement with the results in the literature. Harmonious transverse stresses can be obtained. The results show that the transverse shear stresses are the main factor to the delamination of viscoelastic laminated plate in lower-frequency free vibration, and the transverse normal stress is the main one in higher-frequency free vibration. Relationship between the modulus of viscoelastic materials and transverse stress is analyzed. Ratio between the transverse stress＇s maximum value and the in-plane stress＇s maximum-value is obtained. The results show that the proposed method, and the adopted equations and programs are reliable.
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| 关 键 词： | 液体分析 理论 研究 反应 |
| 收稿时间： | 2007-11-11 |
Free vibration and transverse stresses of viscoelastic laminated plates |
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| Ming-yong Hu,An-wen Wang.Free vibration and transverse stresses of viscoelastic laminated plates[J].Applied Mathematics and Mechanics(English Edition),2009,30(1):101-108. |
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| Authors: | Ming-yong Hu An-wen Wang |
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| Institution: | College of Science, Naval University of Engineering, Wuhan 430033, P. R. China |
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| Abstract: | Based on Reddy's layerwise theory, the governing equations for dynamic response of viscoelastic laminated plate are derived by using the quadratic interpolation function for displacement in the direction of plate thickness. Vibration frequencies and loss factors are calculated for flee vibration of simply supported viscoelastic sandwich plate, showing good agreement with the results in the literature. Harmonious transverse stresses can be obtained. The results show that the transverse shear stresses are the main factor to the delamination of viscoelastic laminated plate in lower-frequency free vibra-tion, and the transverse normal stress is the main one in higher-frequency free vibration. Relationship between the modulus of viscoelastic materials and transverse stress is an-alyzed. Ratio between the transverse stress's maximum value and the in-plane stress's maximum-value is obtained. The results show that the proposed method, and the adopted equations and programs are reliable. |
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| Keywords: | viscoelastic layerwise theory transverse stress laminated plate |
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