| 电磁复合材料层合板自由振动的三维解 |
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| 引用本文： | 朱小鹏,梁伟,麦汉超.电磁复合材料层合板自由振动的三维解[J].复合材料学报,2005,22(6):130-134. |
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| 作者姓名： | 朱小鹏 梁伟 麦汉超 |
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| 作者单位： | 北京航空航天大学,航空科学与工程学院,北京,100083 |
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| 基金项目： | 自然科学基金资助（10102007）;北京市教育委员会共建项目建设计划（XK100060522） |
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| 摘 要： | 从三维弹性理论及压电压磁理论出发,导出有限长磁电效应层合板的动力学方程。采用幂级数法,通过处理得到一种比较简便的求解。分析了压电-压磁层合板分别作为动作片和感知片时对振动频率的影响。单层压电板的计算结果与前人结果相近。分析了磁性材料厚度等参数对复合材料板自由振动频率的影响。结果表明,不同排列方式下频率相近,体积分数在25%~75%之间时,频率变化平缓。
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| 关 键 词： | 电磁复合材料 自由振动 三维级数解 |
| 文章编号： | 1000-3851（2005）06-0130-05 |
| 收稿时间： | 12 25 2004 12:00AM |
| 修稿时间： | 2004-12-252005-04-20 |
THREE-DIMENSIONAL SOLUTIONS FOR FREE VIBRATION OF THE MAGNETO-ELECTRIC-ELASTIC COMPOSITE LAMINATE |
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| ZHU Xiaopeng,LIANG Wei,MAI Hanchao.THREE-DIMENSIONAL SOLUTIONS FOR FREE VIBRATION OF THE MAGNETO-ELECTRIC-ELASTIC COMPOSITE LAMINATE[J].Acta Materiae Compositae Sinica,2005,22(6):130-134. |
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| Authors: | ZHU Xiaopeng LIANG Wei MAI Hanchao |
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| Affiliation: | School of Aeronautical Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
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| Abstract: | Three-dimensional solutions for free vibration of the magneto-electric-elastic multilayered rectangular plates were investigated. Based on the three-dimension elastic theory and piezoelectric-piezomagnetic theory, the dynamics equation of the laminate with magnetoelectric effect was deduced. The solution for simply-supported panel was obtained by employing the power series method. The effect of the plate as a sensor and as an actuator on the vibration frequency was analysed. The calculating result for the piezoelectric mono-player is compatible with that in the previous paper. The influence of the thickness and the sequence of layers on the vibration frequency was discussed. When the volume fraction of the middle layer increases from 25% to 75%, the frequency varies gently. |
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| Keywords: | piezoelectric-piezomagnetic composites free vibration 3-D power series |
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