A NONLINEAR MICROBEAM MODEL BASED ON STRAIN GRADIENT ELASTICITY THEORY

被引：23
|
作者：
Rajabi, Farshid [1 ]
Ramezani, Shojaa [2 ]
机构：
[1] Islamic Azad Univ, Bandar Anzali Branch, Dept Mech Engn, Anzali, Iran
[2] Univ Guilan, Fac Engn, Dept Mech Engn, Rasht, Iran
来源：
ACTA MECHANICA SOLIDA SINICA | 2013年 / 26卷 / 01期
关键词：
strain gradient elasticity; microbeam; geometric nonlinearity; BEAM MODEL; MICROSTRUCTURE; STABILITY;
D O I：
10.1016/S0894-9166(13)60003-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A micro scale nonlinear beam model based on strain gradient elasticity is developed. Governing equations of motion and boundary conditions are obtained in a variational framework. As an example, the nonlinear vibration of microbeams is analyzed. In a beam having a thickness to length parameter ratio close to unity, the strain gradient effect on increasing the natural frequency is predominant. By increasing the beam thickness, this effect decreases and geometric nonlinearity plays the main role on increasing the natural frequency. For some specific ratios, both geometric nonlinearity and size effects have a significant role on increasing the natural frequency.
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页码：21 / 34
页数：14
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