This work provides a comparative analysis of the effect of nanovoids distribution associated with trigonometric functions on forced mechanical characteristics of functionally graded curved nanobeams. A geometrically exact model is developed for the simply-supported beam utilizing a higher-order beam theory including thickness stretching effect. In order to capture the small-scale effects, the governing motion equations are integrated with the general strain gradient theory. The virtual work statement of Hamilton principle is adopted to gain the governing equation as well as boundary conditions. Then, Navier solving procedure-based Fourier series is exerted for stating the reference surface displacements of the nanobeam. The numerical examples are expanded to know the behave of transverse deflection, axial, normal, and shear stresses which are highlighted by time under the influence of material composition, porosity coefficient and its distribution patterns, small-scale coefficients as well as geometrical parameters. It is manifested that in a periodic domain, the oscillation amplitudes grow smaller extremely by raising the excitation frequency, while the repetition of them increases.

这项工作提供了与三角函数相关的纳米空隙分布对功能梯度弯曲纳米束强制机械特性的影响的比较分析。利用包括厚度拉伸效应的高阶梁理论为简单支撑梁开发了几何精确模型。为了捕获小尺度效应，将控制运动方程式与一般应变梯度理论进行了集成。采用汉密尔顿原理的虚拟工作陈述来获得控制方程和边界条件。然后，基于Navier求解程序的傅里叶级数被用来描述纳米束的参考表面位移。扩展了数值示例，以了解横向挠度，轴向，法向，剪切应力在材料成分，孔隙率系数及其分布方式，小尺度系数以及几何参数的影响下随时间而突出。可以看出，在周期性域中，通过增加激励频率，振荡幅度极大地变小，而它们的重复次数则增加。