Characteristics of wave propagation in piezoelectric bent rods with arbitrary curvature

被引：1
|
作者：
Deng, Qing-tian [1 ]
Luo, Song-nan [2 ]
机构：
[1] Changan Univ, Sch Sci, Xian 710064, Peoples R China
[2] Hunan Univ, Coll Mech & Vehicle Engn, Changsha 410082, Hunan, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 05期
关键词：
Piezoelectric bent rods; Arbitrary curvature; Wave propagation; Displacements; Electric potential; TRAPPED MODES; VIBRATION;
D O I：
10.1016/j.apm.2010.11.024
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The wave propagation in the piezoelectric bend rods with arbitrary curvature is studied in this paper. Basic three-dimensional equations in an orthogonal curvilinear coordinate system (r, 0, s) are established. The Bessel functions in radial co-ordinate and triangle series in the angular co-ordinate are used to describe the displacements and electrical potential. Characteristics of dispersion, distributions of displacements and electrical potential over the cross section are calculated, respectively. In the numerical examples, the effects of the ratio of the two ellipse axes on the dispersion relations of the first three modes are observed. The characteristics of the distribution of displacements and electric potential in the cross section, along the radial and s direction are investigated. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2557 / 2570
页数：14
相关论文
共 50 条
  • [11] Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches
    Thorp, O
    Ruzzene, M
    Baz, A
    SMART STRUCTURES AND MATERIALS 2001: DAMPING AND ISOLATION, 2001, 4331 : 218 - 238
  • [12] Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches
    Engineering and Weapons Division, U.S. Naval Academy, Annapolis, MD 21402, United States
    Proc SPIE Int Soc Opt Eng, (218-238):
  • [13] SAW PROPAGATION CHARACTERISTICS OF PIEZOELECTRIC CERAMICS POLARIZED IN AN ARBITRARY DIRECTION
    SHIMIZU, Y
    SHIMIZU, T
    JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS, 1984, 23 : 156 - 158
  • [14] Propagation of generalised Rayleigh wave at the surface of piezoelectric medium with arbitrary anisotropy
    Sharma, M. D.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2023, 103 (03):
  • [15] WAVE-PROPAGATION IN A PIEZOELECTRIC BONE WITH A CYLINDRICAL CAVITY OF ARBITRARY SHAPE
    PAUL, HS
    VENKATESAN, M
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1991, 29 (12) : 1601 - 1607
  • [16] Wave propagation in functionally graded piezoelectric rods with rectangular cross-section
    Yu, J. G.
    Zhang, B.
    Lefebvre, J. E.
    Zhang, Ch
    ARCHIVES OF MECHANICS, 2015, 67 (03): : 213 - 231
  • [17] WAVE-PROPAGATION CHARACTERISTICS IN PIEZOELECTRIC FIBER COMPOSITES
    VARADAN, VV
    VARADAN, VK
    MA, Y
    IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 1986, 33 (06) : 813 - 813
  • [18] A comparative analysis on wave characteristics of viscoelastic rods coated with piezoelectric layer
    Guven, Ugur
    FERROELECTRICS, 2020, 554 (01) : 67 - 88
  • [19] Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion
    Ablowitz, M. J.
    Barone, V.
    De Lillo, S.
    Sommacal, M.
    JOURNAL OF NONLINEAR SCIENCE, 2012, 22 (06) : 1013 - 1040
  • [20] Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion
    M. J. Ablowitz
    V. Barone
    S. De Lillo
    M. Sommacal
    Journal of Nonlinear Science, 2012, 22 : 1013 - 1040
12345