| 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 |
| 压电叠层梁的动力精确解 |
| Exact Solution of Dynamic for Piezoelectric Laminated Beams |
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| DOI：10.11921/j.issn.2095-8382.20150316 |
| 中文关键词: 简支梁 叠层梁 压电材料 状态空间法 动力精确解 |
| 英文关键词: simple support beam laminated beam piezoelectric materials the state space method exact dynamic solution. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| Based on the fundamental equations of elasticity and constitutive equations of piezoelectric materials, the state equations of piezoelectric materials has been derived by using the state space method, in the condition of excluding physical strength, body and body charge current. Combined with the boundary 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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