| 智能板结构振动特性的半解析法 |
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| 引用本文： | 卿光辉,邱家俊,刘艳红.智能板结构振动特性的半解析法[J].固体力学学报,2006,27(1):26-30. |
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| 作者姓名： | 卿光辉 邱家俊 刘艳红 |
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| 作者单位： | 1. 中国民用航空学院机电分院,天津,300300
2. 天津大学机械工程学院力学系,天津,300072 |
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| 基金项目： | 国家自然科学基金(10072038)，教育部博士点基金(2000005616)资助 |
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| 摘 要： | 为智能板结构振动特性的分析提出了一种半解析法.根据压电材料修正后的Hellinger-Re issner变分原理,推导了压电材料的Ham ilton ian等参元.智能板结构的基体板和压电块(压电传感器或驱动器)被看作独立的三维体,并用Ham ilton ian等参元分别离散板和压电块.考虑到板和压电块在连接界面上广义应力和广义位移的连续性,联立板和压电块的方程得到整个结构的方程组.数值实例的分析结果证明了方法的可靠性.
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| 关 键 词： | 智能结构 等参元 半解析法 传感器 驱动器 |
| 修稿时间： | 2004年9月30日 |
SEMI-ANALYTICAL SOLUTION FOR THE VIBRATION CHARACTERISTICS OF SMART PLATE STRUCTURES |
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| Qing Guanghui,Qiu Jiajun,Liu Yanhong.SEMI-ANALYTICAL SOLUTION FOR THE VIBRATION CHARACTERISTICS OF SMART PLATE STRUCTURES[J].Acta Mechnica Solida Sinica,2006,27(1):26-30. |
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| Authors: | Qing Guanghui Qiu Jiajun Liu Yanhong |
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| Abstract: | A new semi-analytical solution for the analysis of vibration characteristics of smart plate structures is proposed.Based upon the Hellinger-Reissner(H-R) mixed variational principle for the piezoelectric material,the Hamiltonian isoparametric element of the piezoelectric material is derived.The host plate and piezoelectric patches(sensors or/and actuators) of a smart structure are considered as absolute three-dimensional bodies,and the Hamiltonian isoparametric element is used to discretize the plate and piezoelectric patches.The linear algebra set of the whole structure is established by considering the compatibility of generalized displacements and generalized stresses on the interface between the plate and piezoelectric patches.Numerical results show that the present method is reliable. |
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| Keywords: | smart structures isoparametric element semi-analytical solution sensor actuator |
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