Exact dynamic stiffness matrix of sandwich beams with vertically compressed core

被引：0
|
作者：
Wang H.-Y. [1 ]
Zhang G.-Y. [2 ]
机构：
[1] Navigation and Naval Architecture College, Dalian Ocean University, Dalian
[2] School of Naval Architecture Engineering, Dalian University of Technology, Dalian
来源：
Chuan Bo Li Xue/Journal of Ship Mechanics | 2017年 / 21卷 / 11期
关键词：
Dynamic stiffness matrix; Natural frequency; Sandwich beam;
D O I：
10.3969/j.issn.1007-7294.2017.11.008
中图分类号：
学科分类号：
摘要：
An accurate dynamic stiffness matrix for a sandwich beam with vertically compressed core is developed and subsequently used to investigate its free vibration characteristics. Each face layer of the beam is idealized by the Timoshenko beam theory. Linear variation of displacements through the thickness of the core is assumed, so that the transverse normal deformation is taken into account. The combined system is reduced to a twelfth-order system using symbolic computation. An exact dynamic stiffness matrix is then developed by relating amplitudes of harmonically varying loads to those of the responses. The resulting dynamic stiffness matrix is used with particular reference to the Wittrick-Williams algorithm to carry out the free vibration analysis of a few illustrative examples. © 2017, Editorial Board of Journal of Ship Mechanics. All right reserved.
引用
收藏
页码：1383 / 1392
页数：9
相关论文
共 9 条
  • [1] Banerjee J.R., Free vibration of sandwich beams using the dynamic stiffness method, Computers and Structures, 81, 1, pp. 1915-1922, (2003)
  • [2] Banerjee J.R., Sobey A.J., Dynamic stiffness formulation and free vibration analysis of a three layered sandwich beam, International Journal of Solids and Structures, 42, 23, pp. 2181-2197, (2005)
  • [3] Howson W.P., Zare A., Exact dynamic stiffness matrix for flexural vibration of three-layered sandwich beams, Journal of Sound and Vibration, 282, 5, pp. 753-767, (2005)
  • [4] Banerjee J.R., Cheung C.W., Morishima R., Et al., Free vibration of a three-layered sandwich beam using the dynamic stiffness method and experiment, International Journal of Solids and Structures, 44, 12, pp. 7543-7563, (2007)
  • [5] Banerjee J.R., Sua H., Jayatunga C., A dynamic stiffness element for free vibration analysis of composite beams and its application to aircraft wings, Computers & Structures, 86, 18, pp. 573-579, (2008)
  • [6] Jun L., Hongxing H., Dynamic stiffness analysis of laminated composite beams using trigonometric shear deformation theory, Compos Struct, (2008)
  • [7] Boscolo M., Banerjee J.R., Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part I: Theory, Computers & Structures, 96-97, pp. 61-73, (2012)
  • [8] Boscolo M., Banerjee J.R., Dynamic stiffness formulation for composite Mindlin plates for exact modal analysis of structures. Part II: Results and applications, Computers & Structures, 96-97, pp. 74-83, (2012)
  • [9] Wang H., Zhao D., Finite element analysis for sandwich plates with moderately thick viscoelastic cores, Journal of Ship Mechanics, 13, 3, pp. 795-805, (2009)
1