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具损伤压电层合板的非线性动力稳定性分析

NONLINEAR DYNAMIC STABILITY FOR PIEZOELECTRIC LAMINATED PLATES WITH DAMAGE

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【作者】 郑玉芳傅衣铭王锋

【Author】 Zheng Yufang Fu Yimingt Wang Feng (College of Civil Engineering, Fuzhou University, Fuzhou 350002, China) (Department of Engineering Mechanics, Hunan University, Changsha 410082, China)

【机构】 福州大学土木工程学院湖南大学工程力学系福州大学土木工程学院 福州 350002长沙 410082福州 350002

【摘要】 基于各向异性损伤理论和压电理论,采用能量法和Lagrange方程,建立了具损伤压电智能层合中厚板在参数激励下的非线性运动控制方程,应用增量谐波平衡法,求解了具损伤压电智能层合中厚板的非线性动力稳定性问题.算例中,分析了损伤参数和压电效应对压电智能层合板非线性动力稳定性的影响,揭示了力电耦合效应的内在特征,并与有关文献的结果进行了比较.

【Abstract】 On the basis of the anisotropic damage theory and piezoelectric theory, the nonlinear governing equations for piezoelectric moderately thick laminated plates with damage subjected to a parametric excitation are derived through applying the energy principle and Lagrange equation. Employing the incremental harmonic balance method, a solution for the nonlinear dynamic stability of the piezoelectric moderately thick laminated plates with damage is obtained. In the numerical examples, the influences of damage parameters and piezoelectricity on the nonlinear dynamic stabilities are discussed and the inherent features about the coupled mechanics and electricity are revealed. A comparison is made with available data.

【基金】 国家自然科学基金(10572049)福建省教育厅(JB05061)资助项目.~~
  • 【文献出处】 力学学报 ,Chinese Journal of Theoretical and Applied Mechanics , 编辑部邮箱 ,2006年04期
  • 【分类号】TB33
  • 【被引频次】6
  • 【下载频次】148
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