Free vibration and wave propagation of axially moving functionally graded Timoshenko microbeams

被引：1
作者：
L. Q. Yao
C. J. Ji
J. P. Shen
C. Li
机构：
[1] Soochow University,School of Rail Transportation
[2] Nanjing University of Aeronautics and Astronautics,State Key Laboratory of Mechanics and Control of Mechanical Structures and College of Aerospace Engineering
来源：
Journal of the Brazilian Society of Mechanical Sciences and Engineering | 2020年 / 42卷
关键词：
Axially moving; Functionally graded material; Microbeam; Nonlocal theory; Vibration; Wave propagation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The transverse free vibration and wave propagation of functionally graded microbeams with an axial motion are investigated based on a nonlocal theory and the Timoshenko beam model. It is assumed the material properties of functionally graded microbeams vary along the thickness direction. The neutral plane of functionally graded materials is introduced, and the inhomogeneity of functionally graded Timoshenko microbeams is considered. The governing equations are derived using Hamilton’s principle, and the differential quadrature method is utilized to determine the first three-order natural frequencies of the microbeams with simply supported and clamped boundary conditions, respectively. The effects of gradient index, nonlocal parameter and axial velocity on natural frequencies are investigated. Moreover, the wave propagation characteristics of functionally graded Timoshenko microbeams are analyzed, and the significant influences of wave number and other variables on wave propagation frequencies and wave velocities are studied. The different influence patterns of nonlocal effect are observed in transverse vibration and wave propagation. The nonlocality shows a weakening phenomenon in transverse vibration of axially moving functionally graded Timoshenko microbeams, while it reveals both weakening and strengthening phenomena in wave propagation. Therefore, two kinds of existing nonlocal scale effects are further confirmed and this is an additional contribution of the present paper.
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