Stability of an axially moving laminated composite beam reinforced with graphene nanoplatelets

被引：2

作者：

Lu, Shufeng ^{[1
]}

Xue, Ning ^{[1
]}

Song, Xiaojuan ^{[2
]}

Ma, Wensai ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Dept Mech, Hohhot 010051, Peoples R China

[2] Inner Mongolia Univ Technol, Coll Mech Engn, Hohhot 010051, Peoples R China

来源：

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2022年 / 10卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Axially moving beam; Graphene reinforcement; Critical velocity; Stability region; Multiscale method; VISCOELASTIC BEAMS; NONLINEAR DYNAMICS; VIBRATION CHARACTERISTICS; NANOCOMPOSITE BEAMS; FORCED VIBRATIONS; PLATES; BEHAVIORS; RESPONSES; SPEED;

D O I：

10.1007/s40435-022-00950-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study investigates the dynamic stability of an axially moving laminated composite beam reinforced by graphene nanoplatelets (GPLs) under constant and harmonically varying velocities. It is assumed that GPLs are distributed into the beam in different patterns through the thickness symmetrically, and the GPL distribution in each layer is uniformly and randomly oriented. The effective Young's modulus of the nanocomposite is predicated on Halpin-Tsai's model. The partial differential equations of motion for the axially moving laminated composite beam are derived using Hamilton's principle, and the ordinary differential governing equations are obtained by Galerkin method. According to the eigenvalues of the coefficient matrix of the ordinary differential equations, the linear stability of the axially moving beam reinforced with GPLs at constant velocity is studied. Finally, the instability region of the axially moving beam in the perspective of resonance under harmonically varying velocity is discussed in detail by utilizing the multiscale method. Governing equations of motion for the axially moving beam are established.Instability regions are obtained considering the damping.Reinforcement of GPLs on the stability of axially moving beam is analyzed.

引用

页码：1727 / 1744

页数：18

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