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轴对称压电圆板的非线性动力响应
  • 期刊名称：应用力学学报
  • 时间：0
  • 页码：467-472
  • 语言：中文
  • 分类：O344[理学—固体力学;理学—力学]
  • 作者机构：[1]湖南大学,长沙410082
  • 相关基金：国家自然科学基金（10572049）
  • 相关项目：具损伤压电弹塑性层合结构的非线性振动及其主动控制
作者： 傅衣铭，张普|
关键词： 轴对称压电圆板, 横观各向同性, 非线性动力响应
中文摘要：

基于Von Karman板理论和压电材料力学，考虑横向剪切变形，建立了轴对称压电圆板的非线性运动方程，提出了相应的力学与电学边界条件。求解时，首先应用Galerkin方法，将非线性偏微分运动方程转化为仅含时间变量的非线性常微分方程。然后，应用Newmark-β方法将时间函数离散，整个问题应用Newton迭代法求解。算例中，求得了压电圆板线性振动基频，验证了方程和求解方法的可靠性，讨论了压电效应、几何非线性、结构尺寸、力学和电学荷载等因素对板非线性动力响应的影响。

同期刊论文项目
具损伤压电弹塑性层合结构的非线性振动及其主动控制
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具损伤压电层合结构的非线性动力响应及疲劳破坏研究
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