| 压电弹性薄板动力学简化Gurtin型变分原理 |
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| 引用本文： | 朱慧坚,罗恩.压电弹性薄板动力学简化Gurtin型变分原理[J].汕头大学学报(自然科学版),2006,21(4):64-69. |
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| 作者姓名： | 朱慧坚 罗恩 |
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| 作者单位： | 1. 广东技术师范学院计算机科学系,广州,510665
2. 中山大学应用力学与工程系,广州,510275 |
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| 基金项目： | 高等学校博士学科点专项科研项目;国家自然科学基金 |
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| 摘 要： | 根据现代对偶互补的基本思想,系统地建立了压电弹性薄板动力学的虚功原理和8类变量与2类变量简化Gurtin型变分原理.这种新的变分原理能反映动力学初值-边值问题的全部特征.
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| 关 键 词： | 压电弹性薄板动力学 虚功原理 简化Gurtin型变分原理 初值-边值问题 |
| 文章编号： | 1001-4217（2006）04-0064-06 |
| 收稿时间： | 2006-03-16 |
| 修稿时间： | 2006年3月16日 |
Simplified Gurtin-Type Variational Principles for Elastodynamics of Piezoelectric Thin Plate |
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| ZHU Hui-jian,LUO En.Simplified Gurtin-Type Variational Principles for Elastodynamics of Piezoelectric Thin Plate[J].Journal of Shantou University(Natural Science Edition),2006,21(4):64-69. |
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| Authors: | ZHU Hui-jian LUO En |
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| Institution: | 1. Departmc.nt of Computcr Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China 2. epartmcnt of Applied Mechanics and Engineering, Sun Yat-scn University, Guangzhou 510275, China |
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| Abstract: | According to the basic idea of classical yin-yang complementarity and modern dual-complementarity, the principle of virtual work, eight-field and two-field simplified Gurtin-type variational principles for elastodynamics of piezoelectric thin plate are established systematically. The new variational principles can fully characterize the initial-boundaryvalue problem of this dynamics. |
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| Keywords: | elastodynamics of piezoelectric thin plate principle of virtual work simplifie Gurtin-type variational principles initial-boundary-value problem |
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