Abstract

Experimental studies show that softening or hardening behaviors of micro/nanostructures depend on the microstructure of the considered material. Some scale dependent theories like nonlocal elasticity, strain gradient models, and modified couple stress theory predict only softening or hardening behavior. Unlike these theories, doublet mechanics predicts both softening and hardening behaviors in some nanomaterial structures. In the present study, vibration of layered nanobeams with periodic nanostructures is investigated using doublet mechanics theory. After deriving the governing equations, Navier-type solution is applied in the vibration analysis of layered nanobeams. Parametric results are presented for different material and geometrical properties.

摘要

实验研究表明，微观/纳米结构的软化或硬化行为取决于所考虑材料的微观结构。一些与比例有关的理论，例如非局部弹性，应变梯度模型和改进的耦合应力理论，只能预测软化或硬化行为。与这些理论不同，双峰力学预测某些纳米材料结构的软化和硬化行为。在本研究中，使用双重力学理论研究具有周期性纳米结构的层状纳米束的振动。推导控制方程后，将Navier型解应用于层状纳米束的振动分析。给出了针对不同材料和几何特性的参数结果。