| 波在考虑热载荷和转动惯量效应的非线性大变形多层压电层合壳内的传播研究 |
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| 引用本文： | 董科,王熙,王虹.波在考虑热载荷和转动惯量效应的非线性大变形多层压电层合壳内的传播研究[J].工程力学,2007,24(1):157-161. |
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| 作者姓名： | 董科 王熙 王虹 |
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| 作者单位： | 上海交通大学船建学院工程力学系,上海,200030;沈阳农业大学水利学院,沈阳,110161;上海交通大学船建学院工程力学系,上海,200030;沈阳农业大学水利学院,沈阳,110161 |
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| 摘 要： | 研究了非线性大变形、层合壳的铺设形式、转动惯量及热载荷效应对波在压电层合壳中传播的影响。首先利用Hamilton最小势能变分原理推导了波在大变形压电层合壳内传播的非线性动力学平衡方程;通过求解方程特征值得到了波传播特征曲线;数值算例表明波在压电层合壳内传播与壳体大变形、转动惯量以及热载荷有关,并与线性小变形理论(Cooper-Naghdi壳体理论)进行了比较。
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| 关 键 词： | 压电层合壳 波传播 Hamilton原理 大变形 转动惯量 热载荷 |
| 文章编号： | 1000-4750（2007）01-0157-05 |
| 修稿时间： | 2005-05-282005-10-12 |
INFLUENCES OF THERMAL LOAD, ROTARY INERTIA AND NONLINEAR DEFORMATION ON WAVE PROPAGATION IN PIEZOELECTRIC LAMINATED CYLINDRICAL SHELLS |
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| DONG Ke,WANG Xi,WANG Hong.INFLUENCES OF THERMAL LOAD, ROTARY INERTIA AND NONLINEAR DEFORMATION ON WAVE PROPAGATION IN PIEZOELECTRIC LAMINATED CYLINDRICAL SHELLS[J].Engineering Mechanics,2007,24(1):157-161. |
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| Authors: | DONG Ke WANG Xi WANG Hong |
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| Affiliation: | 1. Shanghai Jiaotong University, Shanghai 200030, China;2. College of Water Conservancy, Shcnyang Agricultural University, Shenyang 110161, China |
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| Abstract: | Wave propagation in piezoelectric laminated cylindrical shell is studied considering the effect of nonlinear deformation,thermal loads and rotary inertia.From Hamilton's principle,wave propagation governing equations of piezoelectric laminated cylindrical shells are derived.Wave propagation characteristic curve are obtained by solving an eigenvalue problem.The effect of nonlinear deformations,rotary inertia and thermal loads on wave propagation characteristic in piezoelectric laminated cylindrical shells is discussed through numerical examples.To verify the method,the result considering the effect of linear deformation on wave propagation in piezoelectric laminated cylindrical shells is compared with those obtained with different analytical methods in other literature. |
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| Keywords: | piezoelectric laminated cylindrically shells wave propagation hamilton's principle nonlinear de-formations rotary inertia thermal loads |
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