This paper studies nonlinear dynamic characteristics of a nonlocal two-phase piezo-magnetic beam based on a refined higher-order beam formulation and piezoelectric reinforcement scheme. The piezoelectric reinforcement can cause an enhanced vibration behavior of smart nanobeams under magnetic field. Nonlinear governing equations of a smart nanobeam are derived based on refined beam theory, and a numerical trend is provided to obtained nonlinear vibration frequency. This research shows that changing the volume fraction of piezoelectric phase in the material has a great influence on vibration behavior of smart nanobeam under electric and magnetic fields. Also, it can be seen that nonlinear vibration behavior of smart nanobeam is dependent on the magnitude of exerted electric voltage, magnetic potential, hardening elastic foundation and shear deformation.

基于改进的高阶梁公式和压电增强方案，研究了非局部两相压电梁的非线性动力特性。压电增强材料可以增强智能纳米束在磁场下的振动性能。基于细化束理论推导了智能纳米束的非线性控制方程，并提供了数值趋势，以获取非线性振动频率。研究表明，改变材料中压电相的体积分数对智能纳米束在电场和磁场作用下的振动行为有很大影响。此外，可以看出，智能纳米束的非线性振动行为取决于施加的电压，磁势，