考虑非局部效应的双层纳米板的磁弹性随机振动

研究了四边简支双层纳米板在外加磁场的作用下的磁弹性随机振动问题．基于非局部弹性理论和板壳 磁弹性理论建立了系统的磁弹性随机振动方程．通过模态分析法对其进行位移响应分析，得到了通入平稳随机 电流时双层纳米板位移响应均值、功率谱密度函数等数字特征．在此基础上，分析了非局部参数、磁场强度、 板厚比等对功率谱密度的影响．结果表明，非局部参数、磁场强度、板厚比等因素的变化会影响系统的振动能 量变化及振动响应带宽分布.

Magnetoelastic Random Vibration of Double Layer Nanoplates Considering Non-Local Effects

The magnetoelastic random vibration of double-layer nanoplates simply supported on four sides under the action of an external magnetic field is studied. Based on the nonlocal elastic theory and the plate and shell magnetoelastic theory, the system's magnetoelastic random vibration equation is established. The displacement response of the double-layer nanoplate is analyzed by the modal analysis method, and the digital characteristics such as the average displacement response and the power spectral density function of the double-layer nanoplate when a steady random current is applied are obtained. On this basis, the effects of non-local parameters, magnetic field strength, plate thickness ratio, etc. on the power spectral density are analyzed. The results show that the changes of non-local parameters, magnetic field strength, plate thickness ratio and other factors will affect the vibration energy change of the system and the bandwidth distribution of the vibration response