LSFD method for accurate vibration modes and modal stress-resultants of freely vibrating plates that model VLFS

被引：6
作者：
Wang, C. M. [1 ]
Wu, W. X.
Shu, C.
Utsunomiya, T.
机构：
[1] Natl Univ Singapore, Engn Sci Programme, Kent Ridge 119260, Singapore
[2] Natl Univ Singapore, Dept Civil Engn, Kent Ridge 119260, Singapore
[3] Natl Univ Singapore, Dept Mech Engn, Kent Ridge 119260, Singapore
[4] Kyoto Univ, Dept Civil Engn, Kyoto 606, Japan
来源：
COMPUTERS & STRUCTURES | 2006年 / 84卷 / 31-32期
关键词：
modal stress-resultant; natural boundary conditions; least squares finite difference method; vibration; plates; very large floating structures;
D O I：
10.1016/j.compstruc.2006.08.055
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The Ritz method and some finite element formulations fail to furnish accurate modal stress-resultants for vibrating plates with free edges, even though the natural frequencies and mode shapes are accurately obtained. For example, by using the Ritz method, it was found that the modal twisting moments and shear forces violate the natural boundary conditions and that they contain erroneous "oscillations". This paper presents the least squares finite difference (LSFD) method for solving the freely vibrating plate problem. It will be shown herein that the modal stress-resultants obtained by the LSFD method satisfy the natural boundary conditions at the free edges without any oscillations. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2329 / 2339
页数：11
相关论文
共 13 条
[1]   Development of least-square-based two-dimensional finite-difference schemes and their application to simulate natural convection in a cavity [J].
Ding, H ;
Shu, C ;
Yeo, KS ;
Xu, D .
COMPUTERS & FLUIDS, 2004, 33 (01) :137-154
[2]  
*FLUENT INC, GAMBIT VERS 2 2 30 F
[3]  
Kashiwagi M., 2000, J MAR SCI TECH-JAPAN, V5, P89, DOI [10.1007/pl00010631, DOI 10.1007/PL00010631]
[4]  
Kashiwagi M., 1998, J MAR SCI TECH-JAPAN, V3, P37, DOI [10.1007/BF01239805, DOI 10.1007/BF01239805]
[5]  
Leissa AW, 1969, NASA, P1
[6]  
LIEW KM, 1998, VIBRATION MINDLIN PL
[7]  
MINDLIN RD, 1951, J APPL MECH-T ASME, V18, P31
[8]  
Reddy JN., 1993, INTRO FINITE ELEMENT, Vsecond
[9]  
Shu C, 2005, CMC-COMPUT MATER CON, V2, P189
[10]  
UTSUNOMIYA T, 1998, 17 INT C OFFSH MECH, P1
12