| 电磁弹性动力学初边值问题12类变量广义变分原理 |
| |
| 引用本文： | 王作君,郑德忠,郑成博,郑世科.电磁弹性动力学初边值问题12类变量广义变分原理[J].计算力学学报,2011,28(1):63-65. |
| |
| 作者姓名： | 王作君 郑德忠 郑成博 郑世科 |
| |
| 作者单位： | 燕山大学,电气工程学院,测试计量技术及仪器河北省重点实验室,秦皇岛,066004 |
| |
| 基金项目： | 国家自然科学基金(60304009);河北省自然科学基金(F2005000385)资助项目. |
| |
| 摘 要： | 基于Yao建立的电磁弹性固体广义变分原理,运用关于非传统Hamilton型广义变分原理的方法,建立了电磁弹性动力学初边值问题的12类变量广义变分原理,可反映该问题的全部特征,其独立变分变量为该问题的全部变量,即位移、速度、动量、应变、应力、电位移、磁感应强度、电场强度、磁场强度、电标量势、磁标量势和磁矢量势.本文建立的...
|
| 关 键 词： | 广义变分原理 电磁弹性动力学 初边值问题 |
| 收稿时间： | 2009/6/29 0:00:00 |
| 修稿时间： | 2/2/2010 12:00:00 AM |
Twelve-field generalized variational principles for initial-boundary-value problem of magneto-electroelasto dynamics |
| |
| WANG Zuo-jun,ZHENG De-zhong,ZHENG Cheng-bo and ZHENG Shi-ke.Twelve-field generalized variational principles for initial-boundary-value problem of magneto-electroelasto dynamics[J].Chinese Journal of Computational Mechanics,2011,28(1):63-65. |
| |
| Authors: | WANG Zuo-jun ZHENG De-zhong ZHENG Cheng-bo and ZHENG Shi-ke |
| |
| Institution: | Key Lab of Measurement Technology and Instrumentation of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;Key Lab of Measurement Technology and Instrumentation of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;Key Lab of Measurement Technology and Instrumentation of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;Key Lab of Measurement Technology and Instrumentation of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China |
| |
| Abstract: | Based on the generalized variational principles(GVPs) established by Yao for magnetoelectroelastic solids, the twelve-field GVPs for the initial-boundary-value problem of magneto-electro-elasto dynamics are established by using the method on unconventional Hamilton-type GVPs. The new GVPs can fully characterize this dynamics. The independent variables are all variables of the discussed problem, such as displacements, velocities, momentums, strains, stresses, electric displacements, magnetic inductions, electric field intensities, magnetic field intensities, electric scalar potential, magnetic scalar potential and magnetic vector potentials. The proposed GVPs can provide the theoretical basis for establishment of various approximate methods, such as hybrid or mixed finite element method, in magnetoelectro-elasto dynamics. |
| |
| Keywords: | generalized variational principle magneto-electro-elasto dynamics initial-boundary-value problem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《计算力学学报》浏览原始摘要信息 |
| 点击此处可从《计算力学学报》下载免费的PDF全文 |
|
