Optimization of the Structures at Shakedown and Rosen’s Optimality Criterion

Paper focuses on the problems of application of extreme energy principles and nonlinear mathematical programing in the theory of structural shakedown. By means of energy principles, which describes the true stress-strain state conditions of the structure, the dual mathematical models of analysis pro...

Full description

Saved in:
Bibliographic Details
Published in:Civil and environmental engineering reports 2016-09, Vol.22 (3), p.5-24
Main Authors: Alawdin, Piotr, Atkociunas, Juozas, Liepa, Liudas
Format: Article
Language:English
Subjects:
extreme energy principles
mathematical programing
optimal design
Rosen’s optimality criterion
shakedown
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c1305-ec31465c92a6756780536cffb5b354827da33390be1415b92129e3dc0becb7e13
container_end_page 24
container_issue 3
container_start_page 5
container_title Civil and environmental engineering reports
container_volume 22
creator Alawdin, Piotr
Atkociunas, Juozas
Liepa, Liudas
description Paper focuses on the problems of application of extreme energy principles and nonlinear mathematical programing in the theory of structural shakedown. By means of energy principles, which describes the true stress-strain state conditions of the structure, the dual mathematical models of analysis problems are formed (static and kinematic formulations). It is shown how common mathematical model of the structures optimization at shakedown with safety and serviceability constraints (according to the ultimate limit state (ULS) and serviceability limit state (SLS) requirements) on the basis of previously mentioned mathematical models is formed. The possibilities of optimization problem solution in the context of physical interpretation of optimality criterion of Rosen’s algorithm are analyzed.
doi_str_mv 10.1515/ceer-2016-0031
format article
fullrecord <record><control><sourceid>walterdegruyter_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1515_ceer_2016_0031</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1515_ceer_2016_00312235</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1305-ec31465c92a6756780536cffb5b354827da33390be1415b92129e3dc0becb7e13</originalsourceid><addsrcrecordid>eNp1kM1KAzEUhYMoWGq3rvMCqfcmk_lxJ8WfQrFgdR0ymYydWmdKkqHUla_h6_kkZqxbV_dw4TscPkIuEaYoUV4Zax3jgCkDEHhCRjyRwHJZJKcxQw5MYp6dk4n3GwDgiAUmMCKPy11o3psPHZqupV1Nw9rSVXC9Cb2znupAV2v9Zqtu31LdVvSp87b9_vzy9JfU2yYc6Mw1wbrYcEHOar31dvJ3x-Tl7vZ59sAWy_v57GbBDAqQzBqBSSpNwXWayTTLQYrU1HUpSyGTnGeVFkIUUFpMUJYFR15YUZn4MGVmUYzJ9NhrXOe9s7XauTjGHRSCGoSoQYgahKhBSASuj8Beb-PUyr66_hCD2nS9a-PUf0DOhRQ_qqhoUQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Optimization of the Structures at Shakedown and Rosen’s Optimality Criterion</title><source>ROAD: Directory of Open Access Scholarly Resources</source><creator>Alawdin, Piotr ; Atkociunas, Juozas ; Liepa, Liudas</creator><creatorcontrib>Alawdin, Piotr ; Atkociunas, Juozas ; Liepa, Liudas</creatorcontrib><description>Paper focuses on the problems of application of extreme energy principles and nonlinear mathematical programing in the theory of structural shakedown. By means of energy principles, which describes the true stress-strain state conditions of the structure, the dual mathematical models of analysis problems are formed (static and kinematic formulations). It is shown how common mathematical model of the structures optimization at shakedown with safety and serviceability constraints (according to the ultimate limit state (ULS) and serviceability limit state (SLS) requirements) on the basis of previously mentioned mathematical models is formed. The possibilities of optimization problem solution in the context of physical interpretation of optimality criterion of Rosen’s algorithm are analyzed.</description><identifier>ISSN: 2080-5187</identifier><identifier>EISSN: 2450-8594</identifier><identifier>DOI: 10.1515/ceer-2016-0031</identifier><language>eng</language><publisher>De Gruyter Open</publisher><subject>extreme energy principles ; mathematical programing ; optimal design ; Rosen’s optimality criterion ; shakedown</subject><ispartof>Civil and environmental engineering reports, 2016-09, Vol.22 (3), p.5-24</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1305-ec31465c92a6756780536cffb5b354827da33390be1415b92129e3dc0becb7e13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids></links><search><creatorcontrib>Alawdin, Piotr</creatorcontrib><creatorcontrib>Atkociunas, Juozas</creatorcontrib><creatorcontrib>Liepa, Liudas</creatorcontrib><title>Optimization of the Structures at Shakedown and Rosen’s Optimality Criterion</title><title>Civil and environmental engineering reports</title><description>Paper focuses on the problems of application of extreme energy principles and nonlinear mathematical programing in the theory of structural shakedown. By means of energy principles, which describes the true stress-strain state conditions of the structure, the dual mathematical models of analysis problems are formed (static and kinematic formulations). It is shown how common mathematical model of the structures optimization at shakedown with safety and serviceability constraints (according to the ultimate limit state (ULS) and serviceability limit state (SLS) requirements) on the basis of previously mentioned mathematical models is formed. The possibilities of optimization problem solution in the context of physical interpretation of optimality criterion of Rosen’s algorithm are analyzed.</description><subject>extreme energy principles</subject><subject>mathematical programing</subject><subject>optimal design</subject><subject>Rosen’s optimality criterion</subject><subject>shakedown</subject><issn>2080-5187</issn><issn>2450-8594</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kM1KAzEUhYMoWGq3rvMCqfcmk_lxJ8WfQrFgdR0ymYydWmdKkqHUla_h6_kkZqxbV_dw4TscPkIuEaYoUV4Zax3jgCkDEHhCRjyRwHJZJKcxQw5MYp6dk4n3GwDgiAUmMCKPy11o3psPHZqupV1Nw9rSVXC9Cb2znupAV2v9Zqtu31LdVvSp87b9_vzy9JfU2yYc6Mw1wbrYcEHOar31dvJ3x-Tl7vZ59sAWy_v57GbBDAqQzBqBSSpNwXWayTTLQYrU1HUpSyGTnGeVFkIUUFpMUJYFR15YUZn4MGVmUYzJ9NhrXOe9s7XauTjGHRSCGoSoQYgahKhBSASuj8Beb-PUyr66_hCD2nS9a-PUf0DOhRQ_qqhoUQ</recordid><startdate>20160901</startdate><enddate>20160901</enddate><creator>Alawdin, Piotr</creator><creator>Atkociunas, Juozas</creator><creator>Liepa, Liudas</creator><general>De Gruyter Open</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20160901</creationdate><title>Optimization of the Structures at Shakedown and Rosen’s Optimality Criterion</title><author>Alawdin, Piotr ; Atkociunas, Juozas ; Liepa, Liudas</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1305-ec31465c92a6756780536cffb5b354827da33390be1415b92129e3dc0becb7e13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>extreme energy principles</topic><topic>mathematical programing</topic><topic>optimal design</topic><topic>Rosen’s optimality criterion</topic><topic>shakedown</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Alawdin, Piotr</creatorcontrib><creatorcontrib>Atkociunas, Juozas</creatorcontrib><creatorcontrib>Liepa, Liudas</creatorcontrib><collection>CrossRef</collection><jtitle>Civil and environmental engineering reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Alawdin, Piotr</au><au>Atkociunas, Juozas</au><au>Liepa, Liudas</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimization of the Structures at Shakedown and Rosen’s Optimality Criterion</atitle><jtitle>Civil and environmental engineering reports</jtitle><date>2016-09-01</date><risdate>2016</risdate><volume>22</volume><issue>3</issue><spage>5</spage><epage>24</epage><pages>5-24</pages><issn>2080-5187</issn><eissn>2450-8594</eissn><abstract>Paper focuses on the problems of application of extreme energy principles and nonlinear mathematical programing in the theory of structural shakedown. By means of energy principles, which describes the true stress-strain state conditions of the structure, the dual mathematical models of analysis problems are formed (static and kinematic formulations). It is shown how common mathematical model of the structures optimization at shakedown with safety and serviceability constraints (according to the ultimate limit state (ULS) and serviceability limit state (SLS) requirements) on the basis of previously mentioned mathematical models is formed. The possibilities of optimization problem solution in the context of physical interpretation of optimality criterion of Rosen’s algorithm are analyzed.</abstract><pub>De Gruyter Open</pub><doi>10.1515/ceer-2016-0031</doi><tpages>20</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 2080-5187
ispartof Civil and environmental engineering reports, 2016-09, Vol.22 (3), p.5-24
issn 2080-5187
2450-8594
language eng
recordid cdi_crossref_primary_10_1515_ceer_2016_0031
source ROAD: Directory of Open Access Scholarly Resources
subjects extreme energy principles
mathematical programing
optimal design
Rosen’s optimality criterion
shakedown
title Optimization of the Structures at Shakedown and Rosen’s Optimality Criterion
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T01%3A04%3A32IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-walterdegruyter_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Optimization%20of%20the%20Structures%20at%20Shakedown%20and%20Rosen%E2%80%99s%20Optimality%20Criterion&rft.jtitle=Civil%20and%20environmental%20engineering%20reports&rft.au=Alawdin,%20Piotr&rft.date=2016-09-01&rft.volume=22&rft.issue=3&rft.spage=5&rft.epage=24&rft.pages=5-24&rft.issn=2080-5187&rft.eissn=2450-8594&rft_id=info:doi/10.1515/ceer-2016-0031&rft_dat=%3Cwalterdegruyter_cross%3E10_1515_ceer_2016_00312235%3C/walterdegruyter_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c1305-ec31465c92a6756780536cffb5b354827da33390be1415b92129e3dc0becb7e13%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true