On two equivalent thin plate finite elements

被引：0

作者：

Mohr, GA ^{[1
]}

机构：

[1] IASC, St Kilda, Vic 3182, Australia

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1998年 / 14卷 / 03期

关键词：

basis transformation; interpolations; finite elements; thin plates;

D O I：

10.1002/(SICI)1099-0887(199803)14:3<271::AID-CNM147>3.0.CO;2-A

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The 9 df thin plate element of Mohr and Mohr uses cubic interpolation to obtain values of w at the third points of the element sides, in turn interpolating from these and the vertex values within the element. Recently this element has been modified and successfully applied to 'potential' problems. Subsequently it was found that the interpolations of the element of Bazeley et al. (1965, 1968) gave identical results for potential problems. In the present paper it is shown that this is because the interpolations of the two elements are exactly equivalent. (C) 1998 John Wiley & Sons, Ltd.

引用

页码：271 / 275

页数：5

共 50 条

[41] Hierarchic finite elements for thin plates and shells
Dipartimento di Matematica, Universitè di Pavia, I-27100 Pavia, Italy
Comput Assis Mech Eng Sci, 2 (151-160):
[42] Bearing of compact elements at impact interaction with a thin plate
Stepanov, G.V.
Zubov, V.I.
Lyapunov, A.P.
Martynov, V.A.
Problemy Prochnosti, 1994, (04): : 51 - 57
[43] C-1-CURVED FINITE-ELEMENTS WITH NUMERICAL-INTEGRATION FOR THIN PLATE AND THIN SHELL PROBLEMS .1. CONSTRUCTION AND INTERPOLATION PROPERTIES OF CURVED C-1 FINITE-ELEMENTS
BERNADOU, M
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 102 (02) : 255 - 289
[44] A class of equivalent enhanced assumed strain and hybrid stress finite elements
Bischoff, M
Ramm, E
Braess, D
COMPUTATIONAL MECHANICS, 1999, 22 (06) : 443 - 449
[45] Analysis of waveguide polarizers using equivalent network and finite elements methods
Piltyay, S., I
Bulashenko, A., V
Kalinichenko, Ye, I
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2022, 36 (12) : 1633 - 1655
[46] A class of equivalent enhanced assumed strain and hybrid stress finite elements
M. Bischoff
E. Ramm
D. Braess
Computational Mechanics, 1999, 22 : 443 - 449
[47] Finite-difference method for thin plate bending
School of Science, Xi'an Shiyou University, Xi'an 710065, China
不详
Jisuan Wuli, 2009, 1 (135-140):
[48] Finite element model for thin piezothermoelastic intelligent plate
School of Electronic and Mechanical Engineering, Xidian University, Xi'an 710071, China
Yingyong Lixue Xuebao, 2008, 2 (263-267): : 263 - 267
[49] Airborne sound insulation of a thin plate of finite dimensions
Kernen, UE
Hassan, OAB
ACTA ACUSTICA UNITED WITH ACUSTICA, 2005, 91 (04) : 732 - 739
[50] Applications of a finite element discretisation of thin plate splines
Lamichhane, Bishnu P.
Stals, Linda
ANZIAM JOURNAL, 2014, 56 : C210 - C227

← 1 2 3 4 5 →