Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties

被引:10
|
作者
Jing, Hong-Xia [1 ]
He, Xiao-Ting [1 ,2 ]
Du, Da-Wei [1 ]
Peng, Dan-Dan [1 ]
Sun, Jun-Yi [1 ,2 ]
机构
[1] Chongqing Univ, Sch Civil Engn, Chongqing 400045, Peoples R China
[2] Chongqing Univ, Key Lab New Technol Construct Cities Mt Area, Minist Educ, Chongqing 400045, Peoples R China
来源
APPLIED SCIENCES-BASEL | 2020年 / 10卷 / 16期
基金
中国国家自然科学基金;
关键词
piezoelectric effect; bimodular model; functionally-graded materials; cantilever; vibration; DYNAMIC-RESPONSE; DIFFERENT MODULI; TENSION; LAYERS; SURFACE; PLATES;
D O I
10.3390/app10165557
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Piezoelectric materials have been found to have many electromechanical applications in intelligent devices, generally in the form of the flexible cantilever element; thus, the analysis to the corresponding cantilever is of importance, especially when advanced mechanical properties of piezoelectric materials should be taken into account. In this study, the vibration problem of a piezoelectric cantilever beam with bimodular functionally-graded properties is solved via analytical and numerical methods. First, based on the equivalent modulus of elasticity, the analytical solution for vibration of the cantilever beam is easily derived. By the simplified mechanical model based on subarea in tension and compression, as well as on the layer-wise theory, the bimodular functionally-graded materials are numerically simulated; thus, the numerical solution of the problem studied is obtained. The comparison between the theoretical solution and numerical study is carried out, showing that the result is reliable. This study shows that the bimodular functionally-graded properties may change, to some extent, the dynamic response of the piezoelectric cantilever beam; however, the influence could be relatively small and unobvious.
引用
收藏
页数:19
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