Fast and efficient analysis of transient nonlinear heat conduction problems using combined approximations (CA) method

被引：40

作者：

Feng, S. Z. ^{[1
]}

Cui, X. Y. ^{[2
]}

Li, A. M. ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Mech Engn, Xuzhou 221116, Peoples R China

[2] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2016年 / 97卷

基金：

美国国家科学基金会;

关键词：

Transient heat transfer; Nonlinear; Combined approximations; STRUCTURAL-ANALYSIS; REANALYSIS APPROACH; DESIGN; BEM; PIM;

D O I：

10.1016/j.ijheatmasstransfer.2016.02.061

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The combined approximations (CA) method is very efficient and can provide high quality results, when dealing with structural optimization problems. In this study, the CA method is utilized to reduce the computational effort in transient nonlinear heat transfer analysis. In the CA approach, binomial series are used as high quality basis vectors for reduced basis expression. Transient nonlinear temperature fields are then calculated without solving complete set of nonlinear system equations. Both two-dimensional and three-dimensional numerical problems are studied to verify the accuracy and efficiency of CA method, when solving transient nonlinear heat conduction problems. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：638 / 644

页数：7

共 31 条

[1] Efficient non-linear reanalysis of skeletal structures using combined approximations [J].

Amir, Oded ;

Kirsch, Uri ;

Sheinman, Izhak .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 73 (09) :1328-1346

[2] Efficient design sensitivities of structures subjected to dynamic loading [J].

Bogomolni, M. ;

Kirsch, U. ;

Sheinman, I. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (18-19) :5485-5500

[3] A cell-based smoothed radial point interpolation method (CS-RPIM) for heat transfer analysis [J].

Cui, X. Y. ;

Feng, S. Z. ;

Li, G. Y. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2014, 40 :147-153

[4] THERMO-MECHANICAL ANALYSIS OF COMPOSITE PRESSURE VESSELS USING EDGE-BASED SMOOTHED FINITE ELEMENT METHOD [J].

Feng, Shizhe ;

Cui, Xiangyang ;

Li, Guangyao .

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2014, 11 (06)

[5] A reanalysis method for local modification and the application in large-scale problems [J].

Huang, Guanxin ;

Wang, Hu ;

Li, Guangyao .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2014, 49 (06) :915-930

[6] Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method [J].

Khosravifard, A. ;

Hematiyan, M. R. ;

Marin, L. .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (09) :4157-4174

[7] Combined approximations - a general reanalysis approach for structural optimization [J].

Kirsch, U .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2000, 20 (02) :97-106

[8] EFFICIENT SENSITIVITY ANALYSIS FOR STRUCTURAL OPTIMIZATION [J].

KIRSCH, U .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 117 (1-2) :143-156

[9] Nonlinear dynamic reanalysis of structures by combined approximations [J].

Kirsch, U. ;

Bogomolni, M. ;

Sheinman, I. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (33-36) :4420-4432

[10] EFFICIENT REANALYSIS FOR TOPOLOGICAL OPTIMIZATION [J].

KIRSCH, U .

STRUCTURAL OPTIMIZATION, 1993, 6 (03) :143-150

← 1 2 3 4 →