| 压电叠层梁的动力精确解 |
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| 引用本文： | 芦远腾,何博文,关群.压电叠层梁的动力精确解[J].安徽建筑大学学报,2015,23(3):79-82. |
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| 作者姓名： | 芦远腾 何博文 关群 |
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| 作者单位： | 合肥工业大学土木与水利工程学院,安徽 合肥,230009;西安交通大学能源动力与工程学院,陕西西安,710049 |
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| 摘 要： | 以压电材料的弹性力学基本方程和本构方程为基础,引入状态空间法,在忽略体力、体电荷和体电流的情况下,推导出了压电材料的状态变量方程。然后结合边界条件,得到了简支压电梁自由振动频率的状态空间解,并进一步推导出了压电简支叠层梁振动频率的精确解,此解形式简单、精确,便于应用。
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| 关 键 词： | 简支梁 叠层梁 压电材料 状态空间法 动力精确解 |
| 收稿时间： | 2014/12/30 0:00:00 |
| 修稿时间： | 2015/1/25 0:00:00 |
Exact Solution of Dynamic for Piezoelectric Laminated Beams |
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| LU Yuan-teng,HE Bo-wen and GUAN Qun.Exact Solution of Dynamic for Piezoelectric Laminated Beams[J].Journal of Anhui Jianzhu University,2015,23(3):79-82. |
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| Authors: | LU Yuan-teng HE Bo-wen and GUAN Qun |
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| Abstract: | Based on the fundamental equations of elasticity and constitutive equations of piezoelectric materials, the state equationsSof piezoelectric materials has been derived by using the stateSspace method, in the condition of excludingSphysical strength,Sbody and body charge current. Combined with theSboundary conditions, the free vibration frequency of state space solution has been divided. From the single beam solution,the solution for simple support piezoelectric laminated beam has been derived. This solution is simple accurate and easy to use. |
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| Keywords: | simple support beam laminated beam piezoelectric materials the stateSspace method exact dynamic solution |
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