Resonant vibrations of FG viscoelastic imperfect Timoshenko beams

被引:25
|
作者
Ghayesh, Mergen H. [1 ]
机构
[1] Univ Adelaide, Sch Mech Engn, Adelaide, SA 5005, Australia
关键词
Viscosity; functionally graded beam; imperfection; Timoshenko beam theory; SIZE-DEPENDENT DYNAMICS; NONLINEAR DYNAMICS; BEHAVIOR; INPLANE; PLATES; OSCILLATIONS; BIOMECHANICS; MICROBEAMS; MOTION; SHELLS;
D O I
10.1177/1077546318825167
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
An investigation is performed on the viscoelastic nonlinear vibrations of functionally graded imperfect Timoshenko beams. The internal viscosity is incorporated using the Kelvin-Voigt scheme. Beam's centerline stretching is the cause of geometric nonlinearities. Material property distributions follow the Mori-Tanaka model. Shear deformation and rotary inertia are incorporated using the Timoshenko theory. A slight curvature is included to account for a geometric imperfection. The coupled axial/transverse/rotational motion model is developed using Hamilton's energy/work/energy loss. Galerkin's method is used, without neglecting the longitudinal inertia/displacement, and a large dimensional discretized/truncated model is obtained. Numerical integrations, using a continuation-based technique, are employed for force/frequency diagrams. Viscosity, material gradient index, and imperfection effects on the system vibrations are investigated.
引用
收藏
页码:1823 / 1832
页数:10
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