摘要
应用混合数值法研究电-磁-弹功能梯度材料板中的波动瞬态响应。假设材料的弹性常数和电、磁常数沿板厚方向呈梯度变化,将电磁功能梯度材料板划分为层单元,应用能量变分原理建立单元的动力学微分方程;根据单元之间的连续条件将层单元控制方程装配成系统的控制方程,应用模态叠加法和傅里叶变换分别得到力激励和电极激励下波数域里的瞬态响应;应用反傅里叶变换得到时空域内的瞬态响应,研究磁电参数对电磁弹板中的波动瞬态响应的影响。
Transient response of wave in an electric-magneto-elastic functionally graded plate is investigated by hybrid numerical method.It is assumed that the elastic,electric and magnetic constants of the material vary in gradient along the thickness of the plate.The electric-magneto-elastic functionally graded plate is first divided into layer elements,the dynamic differential equation of the element is established by the energy variational principle.Then according to the continuity condition between the elements,the layer element governing equations are assembled into the governing equations of the system.The modal superposition method and Fourier transform are applied to obtain the transient response in the wave number domain under the excitation of mechanical force and electrode respectively.Inverse Fourier transformation is used to obtain transient of wave in time and space domains.The influence of magneto-electric parameters on the transient response of electromagnetic elastic plate is studied.
作者
谢根全
宋鑫朋
XIE Genquan;SONG Xinpeng(College of Civil Engineering,Hunan University of Science and Technology,Xiangtan 411201,China)
出处
《贵州大学学报（自然科学版）》
2020年第6期35-43,共9页
Journal of Guizhou University:Natural Sciences
基金
国家自然科学基金资助项目(11372109)。
关键词
电-磁-弹功能梯度材料板
混合数值法
波动瞬态响应
傅里叶变换
力激励
电极激励
electric-magneto-elastic functionally graded plate
hybrid numerical method
transient response of wave
Fourier transformation
mechanic excitation
electrode excitation
