Dynamic analysis of bi-directional functionally graded Timoshenko nanobeam on the basis of Eringen's nonlocal theory incorporating the surface effect

作者：

Highlights：

• Surface theory and Eringen's nonlocal theory has been used to capture the size-effect on vibration characteristic of bi-directional functionally graded Timoshenko nanobeam.

• A parametric study has been performed to examine the impact of considering surface effect together with bi-directional material distribution, nonlocal parameter, and slenderness ratio.

• Effect of surface effect is more noticeable due to bi-directional variation in material properties.

摘要

•Surface theory and Eringen's nonlocal theory has been used to capture the size-effect on vibration characteristic of bi-directional functionally graded Timoshenko nanobeam.•A parametric study has been performed to examine the impact of considering surface effect together with bi-directional material distribution, nonlocal parameter, and slenderness ratio.•Effect of surface effect is more noticeable due to bi-directional variation in material properties.

论文关键词：Gurtin-Murdoch surface elasticity theory, Eringen's nonlocal theory,Timoshenko's beam theory,Bi-directional functionally graded nanobeam,Vibration characteristics

论文评审过程：Received 13 August 2020, Revised 2 November 2020, Accepted 29 November 2020, Available online 22 December 2020, Version of Record 22 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125857