Dynamic modeling of embedded curved nanobeams incorporating surface effects

被引：13
|
作者：
Ebrahimi, Farzad [1 ]
Daman, Mohsen [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Engn, Dept Mech Engn, Qazvin, Iran
来源：
COUPLED SYSTEMS MECHANICS | 2016年 / 5卷 / 03期
关键词：
vibration; curved nanobeam; surface effects; elastic foundation;
D O I：
10.12989/csm.2016.5.3.255
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
To investigate the surface effects on vibration of embedded circular curved nanosize beams, nonlocal elasticity model is used in combination with surface properties including surface elasticity, surface tension and surface density for modeling the nano scale effect. The governing equations are determined via the energy method. Analytically Navier method is utilized to solve the governing equations for simply supported at both ends. Solving these equations enables us to estimate the natural frequency for circular curved nanobeam including Winkler and Pasternak elastic foundations. The results determined are verified by comparing the results by available ones in literature. The effects of various parameters such as nonlocal parameter, surface properties, Winkler and Pasternak elastic foundations and opening angle of circular curved nanobeam on the natural frequency are successfully studied. The results reveal that the natural frequency of circular curved nanobeam is significantly influenced by these effects.
引用
收藏
页码：255 / 267
页数：13
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