Nonlinear resonant response of imperfect extensible Timoshenko microbeams

被引：71
作者：
Farokhi, Hamed [1 ]
Ghayesh, Mergen H. [2 ]
机构：
[1] McGill Univ, Dept Mech Engn, Montreal, PQ H3A 0C3, Canada
[2] Univ Wollongong, Sch Mech Mat & Mechatron Engn, Wollongong, NSW, Australia
来源：
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN | 2017年 / 13卷 / 01期
关键词：
Timoshenko microbeam; Nonlinear dynamics; Timoshenko beam theory; Modified couple stress theory; COUPLE STRESS THEORY; GRADIENT ELASTICITY THEORY; BEHAVIOR; DYNAMICS; BEAMS;
D O I：
10.1007/s10999-015-9316-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper investigates the nonlinear size-dependent dynamics of an imperfect Timoshenko microbeam, taking into account extensibility. Based on the modified couple stress theory, the nonlinear equations of motion for the longitudinal, transverse, and rotational motions are derived via Hamilton's energy method. A high-dimensional finite degree-of-freedom system of ordinary differential equations is obtained by the application of the Galerkin scheme. This set of equations is solved through use of the pseudo-arclength continuation method. A stability analysis is conducted via use of the Floquet theory. The resonant motion characteristics of the microbeam are examined by plotting the frequency-response and force-response curves. The effect of system parameters on the resonant response of the system is highlighted.
引用
收藏
页码：43 / 55
页数：13
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