摘要
论文基于线性磁电弹性理论,研究了具有扇环形截面的多铁性柱形波导中的弹性波传播问题.利用波动势函数法,解析推导获得波动特征方程,进而得到弥散关系.通过算例研究了波传播的关键特性,深入分析了弥散曲线、相速度曲线和截止频率变化情况.结果显示,波的相速度和截止频率非常依赖于波导结构的扇环截面半顶角、内外径比和层合界面的弱界面系数,对于给定材料的波导结构,这些参数也是控制其弥散特性的重要影响因素.值得指出的是,在柱面应力自由的边界条件下相速度曲线中存在独特的频率带隙,而这通常是在周期结构中才会出现.
The multiferroic materials,which combine two or more ferroic properties together,have attracted extensive attention from researchers for over two decades,and have significant application prospects in sensors,transducers,memory devices,energy harvesters and smart structures.The working performance of these devices is closely relevant to material properties,as well as the characteristics of wave propagation and attenuation in structures.Hence,the wave propagation in multiferroic materials has drawn ever-increasing interest from the academic community.Based on the linear theory of electro-magneto-elasticity,the propagation of elastic waves in multiferroic cylindrical waveguides of sectorial annular cross-sections is analyzed.The longitudinal cuts are covered by non-extensible and electrically/magnetically shorted membranes,and the cylindrical surface may have arbitrary boundary conditions.A wave potential method is exploited to solve the three-dimensional coupled equations,and the characteristic equation is established in analytical form,from which the dispersion relations are readily obtained.Representative examples are performed to investigate the crucial characteristics of waves by looking into the full dispersion spectra,phase velocity curves and cutoff frequencies.Numerical results demonstrate that phase velocities and cutoff frequencies depend considerably on the waveguide’s angular measure,radius ratio and weak interface parameter,which should be significant factors controlling the dispersion characteristics of the multiferroic waveguide of specific materials.It’s noteworthy to point out that a peculiar frequency bandgap is found in the phase velocity curves under special boundary conditions,which is normally emerged in periodic structures.Due to the analytical feature of the present method and formulation,the present study can be used to verify other numerical methods,and serve as a benchmark for monitoring cylindrical structures or devices.
作者
周云英
刘东滢
侯定贵
Yunying Zhou;Dongying Liu;Dinggui Hou(School of Civil Engineering,North China Institute of Aerospace Engineering,Langfang,065000;School of Civil Engineering,Guangzhou University,Guangzhou,510006)
出处
《固体力学学报》
CAS
CSCD
北大核心
2023年第1期120-132,共13页
Chinese Journal of Solid Mechanics
基金
河北省中央引导地方科技发展资金项目(226Z1201G)
河北省高等学校科学技术研究项目青年拔尖人才项目(BJ2019059)
河北省自然科学基金面上项目(A2021409004)
河北省引进留学人才资助项目(C20210109)资助
关键词
波动势函数法
解析解
柱形波导
扇环截面
多铁性材料
wave potential method
analytical solutions
cylindrical waveguides
sectorial annular cross-section
multiferroic material
