Numerical lower bound shakedown analysis of engineering structures

被引：59

作者：

Simon, Jaan-Willem ^{[1
]}

Weichert, Dieter ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Inst Gen Mech, D-52056 Aachen, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2011年 / 200卷 / 41-44期

关键词：

Direct method; Shakedown analysis; Interior-point algorithm; Nonlinear programming; Convex optimization; Large-scale problem; LIMIT ANALYSIS; LINE-SEARCH; NONLINEAR OPTIMIZATION; INTERIOR METHODS; ELEMENT-METHOD; ALGORITHM; FORMULATION;

D O I：

10.1016/j.cma.2011.05.006

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose a numerical method for the computation of shakedown loads of engineering structures subjected to varying thermo-mechanical loading. The method is based on Melan's lower bound shakedown theorem using the von Mises yield criterion. The resulting nonlinear convex optimization problem is presented in a generalized formulation and then solved by an interior-point algorithm, which is characterized by a problem-tailored solution strategy, particularly suitable for application to large-scale engineering structures. Theoretical and numerical issues of the algorithm are described. It's efficiency is shown by application to thermo-mechanical problems from power plant engineering. The results are compared to those found in literature as well as to calculations with other optimization codes LANCELOT. IPOPT and IPDCA. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2828 / 2839

页数：12

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