P Wave Propagation in the Functionally Graded Materials

被引:0
作者
Zhang, Ligang [1 ]
Zhu, Hong [2 ]
Xie, Hongbiao [1 ]
Yuan, Lin [2 ]
机构
[1] Yanshan Univ, Natl Engn Res Ctr Equipment & Technol Cold Strip, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Sch Mech Engn, Qinhuangdao 066004, Peoples R China
来源
MECHATRONICS AND INTELLIGENT MATERIALS III, PTS 1-3 | 2013年 / 706-708卷
关键词
P Wave; Functionally graded materials; Wave velocity; Wave amplitude; Differential equation with varied coefficient;
D O I
10.4028/www.scientific.net/AMR.706-708.1685
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The P wave propagation in the functionally graded materials (FGM) is studied. The differential equation with varied-coefficient of wave motion in the FGM is established. By using of the WKBJ approximation method, the differential equation with varied-coefficient is solved, and the closed-analytical solutions of displacement in the FGM are obtained. The properties of the FGM whose shear modulus and mass density are gradually varying in exponential form are calculated; the curves of P wave velocity and amplitude, and the general properties of the P wave in the FGM are analyzed.
引用
收藏
页码:1685 / +
页数:2
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