Transverse vibration of rotary tapered microbeam based on modified couple stress theory and generalized differential quadrature element method

被引:93
作者
Shafiei, Navvab [1 ]
Kazemi, Mohammad [1 ]
Fatahi, Laleh [2 ]
机构
[1] Imam Khomeini Int Univ, Dept Mech Engn, Qazvin, Iran
[2] Shahid Chamran Univ, Dept Mech Engn, Ahvaz, Iran
关键词
Euler-Bernoulli model; free vibration; generalized differential quadrature element method; modified couple stress theory; rotating tapered microbeam; COMPOSITE LAMINATED BEAMS; FLAPWISE BENDING VIBRATION; NONLOCAL ELASTICITY; BUCKLING ANALYSIS; MODEL; DYNAMICS;
D O I
10.1080/15376494.2015.1128025
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The transverse vibration of a rotary tapered microbeam is studied based on a modified couple stress theory and Euler-Bernoulli beam model. The governing differential equation and boundary conditions are derived according to Hamilton's principle. The generalized differential quadrature element method is then used to solve the governing equation for cantilever and propped cantilever boundary conditions. The effect of the small-scale parameter, beam length, rate of cross-section change, hub radius, and nondimensional angular velocity on the vibration behavior of the microbeam is presented.
引用
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页码:240 / 252
页数:13
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