The transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem

被引:29
作者
Hou, PF [1 ]
Ding, HJ
Leung, AYT
机构
[1] Hunan Univ, Dept Engn Mech, Changsha 410082, Peoples R China
[2] Zhejiang Univ, Dept Civil Engn, Hangzhou 310027, Peoples R China
[3] City Univ Hong Kong, Dept Bldg & Construct, Hong Kong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.jsv.2005.05.022
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
By virtue of the introduction of new dependent variable and the separation of variables technique, the transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder are transformed to two Volterra integral equations of the second kind of about two functions with respect to time. These integral equations can be solved successfully by means of the interpolation method. Then, the complete solutions of displacements, stresses, electric potential, electric displacements, magnetic potential and magnetic inductions are obtained. The present method is suitable for a magneto-electro-elastic hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric mechanical and electromagnetic loads. Numerical results are finally presented. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:19 / 47
页数:29
相关论文
共 41 条
[1]   Transient thermal stresses in a rotation non-homogeneous cylindrically orthotropic composite tubes [J].
Abd-All, AM ;
Abd-Alla, AN ;
Zeidan, NA .
APPLIED MATHEMATICS AND COMPUTATION, 1999, 105 (2-3) :253-269
[2]   Transient thermal stresses in a spherically orthotropic elastic medium with spherical cavity [J].
Abd-All, AM ;
Abd-Alla, AN ;
Zeidan, NA .
APPLIED MATHEMATICS AND COMPUTATION, 1999, 105 (2-3) :231-252
[3]   Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites [J].
Aboudi, J .
SMART MATERIALS & STRUCTURES, 2001, 10 (05) :867-877
[4]   AXISYMMETRIC VIBRATIONS OF RADIALLY POLARIZED PIEZOELECTRIC CERAMIC CYLINDERS [J].
ADELMAN, NT ;
STAVSKY, Y ;
SEGAL, E .
JOURNAL OF SOUND AND VIBRATION, 1975, 38 (02) :245-254
[5]  
ADELMAN NT, 1975, J ACOUST SOC AM, V57, P356, DOI 10.1121/1.380448
[6]   MAGNETOELECTRIC EFFECT IN PIEZOELECTRIC MAGNETOSTRICTIVE MULTILAYER (2-2) COMPOSITES [J].
AVELLANEDA, M ;
HARSHE, G .
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 1994, 5 (04) :501-513
[7]   MAGNETOELECTRIC EFFECT IN FIBROUS COMPOSITES WITH PIEZOELECTRIC AND PIEZOMAGNETIC PHASES [J].
BENVENISTE, Y .
PHYSICAL REVIEW B, 1995, 51 (22) :16424-16427
[8]   Effective properties of layered magneto-electro-elastic composites [J].
Chen, ZR ;
Yu, SW ;
Meng, L ;
Lin, Y .
COMPOSITE STRUCTURES, 2002, 57 (1-4) :177-182
[9]   A UNIFIED APPROACH TO CYLINDRICAL AND SPHERICAL ELASTIC WAVES BY METHOD OF CHARACTERISTICS [J].
CHOU, PC ;
KOENIG, HA .
JOURNAL OF APPLIED MECHANICS, 1966, 33 (01) :159-&
[10]   DYNAMIC VIBRATIONS AND STRESSES IN ELASTIC CYLINDERS AND SPHERES [J].
CINELLI, G .
JOURNAL OF APPLIED MECHANICS, 1966, 33 (04) :825-&