Nonlinear size-dependent dynamics of microarches with modal interactions

被引：23
作者：
Farokhi, Hamed [1 ]
Ghayesh, Mergen H. [2 ]
机构：
[1] McGill Univ, Dept Mech Engn, Montreal, PQ, Canada
[2] Univ Wollongong, Sch Mech Mat & Mechatron Engn, Wollongong, NSW 2522, Australia
来源：
JOURNAL OF VIBRATION AND CONTROL | 2016年 / 22卷 / 17期
关键词：
Microarches; modified couple stress theory; nonlinear dynamics; stability; STRAIN GRADIENT ELASTICITY; COUPLE STRESS THEORY; AXIALLY ACCELERATING BEAM; MOVING BEAM; MICROBEAMS; BEHAVIOR; MODEL; RESONATORS; PLASTICITY; STABILITY;
D O I：
10.1177/1077546314565439
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
This paper investigates the nonlinear dynamics of microarches with internal modal interactions; the nonlinear size-dependent motion characteristics are analyzed for the system with two-to-one and three-to-one internal resonances. The partial differential equation of motion is discretized into a set of second-order nonlinear ordinary differential equations via the application of the Galerkin scheme. The linear natural frequencies of the system are obtained by eliminating the nonlinearities; these are used to verify the occurrence of modal interactions. The nonlinear resonant dynamics are examined via the pseudo-arclength continuation technique for the systems with internal modal interactions.
引用
收藏
页码：3679 / 3689
页数：11
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