【摘要】 基于非局部应变理论,应用哈密顿原理及广义微分求积法推导出受简支约束的功能梯度多孔纳米梁的振动微分控制方程,并利用MATLAB仿真分析了功能梯度指数、非局部参数及多孔体积分数对该模型固有频率的影响规律.结果表明该系统固有频率随着非局部参数(μ)及多孔体积分数(α)的增大而有明显的增加,而功能梯度指数(k)能使其固有频率减小.更多还原

【Abstract】 Based on the nonlocal strain theory,the vibration differential control equation of functionally graded porous nano-beams which constrained by simple-support is derived by using the Hamiltonian principle and the generalized differential quadrature method,and the influence law of functional gradient index,non-local parameters and porous volume fraction on the intrinsic frequency of the model is analyzed by using MATLAB simulation. The results show that the intrinsic frequency of the system increases significantly with the increase of non-local parameters(μ) and porous volume fraction(α),while the functional gradient index(k) which can reduce the intrinsic frequency of the system.更多还原