On some hp-adaptive finite element method for natural vibrations

被引:3
作者
Jasinski, Maciej [1 ]
Zboinski, Grzegorz [1 ,2 ]
机构
[1] Polish Acad Sci, Inst Fluid Flow Machinery, PL-80231 Gdansk, Poland
[2] Univ Warmia & Mazury, Fac Tech Sci, PL-10736 Olsztyn, Poland
关键词
Natural vibrations; Eigenproblem; Linear elasticity; hp-adaptive FEM; POSTERIORI ERROR ESTIMATION; EIGENFREQUENCY ANALYSIS; P-VERSION; COMPUTATION; ELASTICITY; STRATEGY; DESIGN; PLATES;
D O I
10.1016/j.camwa.2013.08.031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Model eigenproblem results obtained by some hp-adaptive FEM are presented. The FEM is based on the Texas 3-step strategy and the equilibrated residual method. The focus is on numerical experiments. The practical issues related to the above mentioned techniques are raised. The potentials of the method for engineering applications are demonstrated. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2376 / 2399
页数:24
相关论文
共 57 条
[1]  
Ainsworth M., 2000, PUR AP M-WI
[2]  
Arnold W., 1981, MATH METHODS CLASSIC
[3]  
Ashcraft C.C., 2002, SOLVING LINEAR SYSTE
[4]   Approximation properties of the h-p version of the finite element method [J].
Babuska, I ;
Guo, BQ .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 133 (3-4) :319-346
[5]  
Babuska I., 1991, HDB NUMERICAL ANAL, V2
[6]  
Babuska I., 1994, BN1163
[7]   An h-p finite element vibration analysis of open conical sandwich panels and conical sandwich frusta [J].
Bardell, NS ;
Langley, RS ;
Dunsdon, JM ;
Aglietti, GS .
JOURNAL OF SOUND AND VIBRATION, 1999, 226 (02) :345-377
[8]   Postprocessing techniques and h-adaptive finite element-eigenproblem analysis [J].
Baušys, R. ;
Hager, P. ;
Wiberg, N.-E. .
Computers and Structures, 2001, 79 (22-25) :2039-2052
[9]  
Becker R, 2001, ACT NUMERIC, V10, P1, DOI 10.1017/S0962492901000010
[10]   On the use of three-dimensional h- and p-version finite elements in solving vibration response problems [J].
Dalenbring, M ;
Zdunek, A .
JOURNAL OF SOUND AND VIBRATION, 2005, 288 (4-5) :907-929