哈尔滨工程大学学报2025,Vol.46Issue(2):227-233,7.DOI:10.11990/jheu.202303020
压电/压磁双层纳米板的振动特性
Vibration properties of piezoelectric/piezomagnetic bilayer nanoplates
摘要
Abstract
The free vibration properties of a nanoscale piezoelectric-piezomagnetic bilayer plate are investigated,considering the piezoelectric/piezomagnetic bilayer nanometer plate as the research object.First,a displacement and an electromagnetic field volume were independently assumed;such values shall satisfy the conditions of contin-ual displacement and shear stress at the interface,as well as the condition of free surface stress.Second,by intro-ducing nonlocal piezoelectric/piezomagnetic constitutive relations for characterizing the scale effects,the vibration governing equations of the piezoelectric/piezomagnetic bilayer nanoplate were derived on the basis of the Hamilton principle.Finally,the natural frequency of the bilayer plate simply supported at all edges was obtained using the Navier solution,and the numerical examples were provided to discuss the impact of nonlocal parameters,structure size,and external load upon the vibration characteristics in detail.Analysis results show that the nonlocal effects may considerably change the natural frequency of the piezoelectric/piezomagnetic bilayer plate,and the natural fre-quency decreases with the increase in nonlocal parameters.This study can provide theoretical support for the dy-namic performance optimization of micro-nano magnetic/electric laminating structures.关键词
层状复合材料/压电材料/压磁材料/双层板/纳米尺度/非局部理论/机械荷载/振动特性Key words
layered composite/piezoelectric material/piezomagnetic material/bilayer plate/nanoscale/nonlocal theory/external load/vibration characteristic分类
力学引用本文复制引用
温建俊,张乐乐,刘金喜..压电/压磁双层纳米板的振动特性[J].哈尔滨工程大学学报,2025,46(2):227-233,7.基金项目
国家自然科学基金项目(11802185) (11802185)
河北省自然科学基金项目(A2019210203,A2023210064) (A2019210203,A2023210064)
河北省教育厅科学研究项目(BJK2022055). (BJK2022055)