| 二维热弹性功能梯度板的自由振动分析 |
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| 引用本文： | 刘五祥,鲁书浓. 二维热弹性功能梯度板的自由振动分析[J]. 武汉理工大学学报, 2010, 0(5) |
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| 作者姓名： | 刘五祥 鲁书浓 |
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| 作者单位： | 同济大学航空航天与力学学院; |
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| 基金项目： | 上海市重点学科建设项目(B302) |
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| 摘 要： | 研究正交各向异性二维热弹性功能梯度板的自由振动问题。假设材料参数沿板厚方向按任意函数规律变化,基于状态空间法和Peano-Baker级数,获得了二维热弹性功能梯度平板自由振动问题的解。通过算例,分析了当材料为线性分布时,不同的梯度参数和板厚对平板最小固有频率的影响,以及不同的分布函数对最小固有频率的影响。
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| 关 键 词： | 热弹性功能梯度板 Peano-Baker级数 自由振动 状态空间法 |
Free Vibration Analysis of Two-dimensional Thermoelasticity Functionally Graded Plate |
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| LIU Wu-xiang,LU Shu-nong. Free Vibration Analysis of Two-dimensional Thermoelasticity Functionally Graded Plate[J]. Journal of Wuhan University of Technology, 2010, 0(5) |
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| Authors: | LIU Wu-xiang LU Shu-nong |
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| Affiliation: | LIU Wu-xiang,LU Shu-nong(School of Aerospace Engineering , Applied Mechanics,Tongji University,Shanghai 200092,China) |
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| Abstract: | Two-dimensional free vibration analysis is presented for an orthotropic thermoelastic functionally graded plate.Assuming that material properties have arbitrary variations along the plate-thickness direction,an solution is obtained for the free vibration problem of the thermoelastic functionally graded plates based on state space methods and Peano-Baker series.The influence of different gradient properties and plate thickness on the lowest natural flexural frequencies of the plate is studied when material p... |
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| Keywords: | thermoelasticity functionally graded plate Peano-Baker series free vibration state space method |
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