Finite Element Modeling of Dynamic Properties of the Delta Robot with Base Frame

The paper presents the finite element modeling of the dynamic properties of a delta robot attached to a steel frame. A distinguishing feature of the proposed modeling method is the application of the Guyan reduction method in modeling of frame foundations. The frame in question was analyzed in two v...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Materials 2022-09, Vol.15 (19), p.6797
Hauptverfasser: Grabiec, Jakub, Pajor, Mirosław, Dunaj, Paweł
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 19
container_start_page 6797
container_title Materials
container_volume 15
creator Grabiec, Jakub
Pajor, Mirosław
Dunaj, Paweł
description The paper presents the finite element modeling of the dynamic properties of a delta robot attached to a steel frame. A distinguishing feature of the proposed modeling method is the application of the Guyan reduction method in modeling of frame foundations. The frame in question was analyzed in two variants: (i) without attached robot and (ii) with attached robot. Based on the established model, the dynamic properties (i.e., natural frequencies, mode shapes, and frequency response functions) of the frame in the two variants were analyzed. The obtained results were then experimentally verified and validated. It was found that the developed model showed an average relative error for natural frequencies of 4.3% in the case of the frame and 5.6% in the case of the frame with the robot. The paper demonstrated the validity of the proposed model, allowing accurate and fast determination of robotic system dynamic properties.
doi_str_mv 10.3390/ma15196797
format Article
fullrecord <record><control><sourceid>gale_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_9571944</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A745740106</galeid><sourcerecordid>A745740106</sourcerecordid><originalsourceid>FETCH-LOGICAL-c352t-4d5a72da57df19deb36bf5cd7a715f8ec315d580db7811046c7da94b331854f43</originalsourceid><addsrcrecordid>eNpdkVFPHCEQx0ljU431pZ-ApC-NyemywLK8mFj11MSmpmmfCQvDHWYXrsDZ-O3L5kytwgNk-M2fmf8g9Ik0J5TK5nTShBPZCSneoQMiZbcgkrG9_-776Cjnh6YuSknfyg9on3YtZYSyA3S_9MEXwFcjTBAK_hYtjD6scHT48inoyRt8n-IGUvGQ52hZA76EsWj8Iw6x4D--rPFXnQEvk57gI3rv9Jjh6Pk8RL-WVz8vbhZ3369vL87vFobytiyY5Vq0VnNhHZEWBtoNjhsrtCDc9WAo4Zb3jR1ET0jDOiOslmyYW-DMMXqIzna6m-0wgTW1-KRHtUl-0ulJRe3V65fg12oVH5XkYnalCnx5Fkjx9xZyUZPPBsZRB4jbrFrRVmNZT2b08xv0IW5TqO3NFGtFRzpRqZMdtdIjKB9crP-aui1UF2MA52v8XDAuWEOariYc7xJMijkncP-qJ42ah6tehkv_AhIflBM</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2724276167</pqid></control><display><type>article</type><title>Finite Element Modeling of Dynamic Properties of the Delta Robot with Base Frame</title><source>PubMed Central Open Access</source><source>MDPI - Multidisciplinary Digital Publishing Institute</source><source>EZB-FREE-00999 freely available EZB journals</source><source>PubMed Central</source><source>Free Full-Text Journals in Chemistry</source><creator>Grabiec, Jakub ; Pajor, Mirosław ; Dunaj, Paweł</creator><creatorcontrib>Grabiec, Jakub ; Pajor, Mirosław ; Dunaj, Paweł</creatorcontrib><description>The paper presents the finite element modeling of the dynamic properties of a delta robot attached to a steel frame. A distinguishing feature of the proposed modeling method is the application of the Guyan reduction method in modeling of frame foundations. The frame in question was analyzed in two variants: (i) without attached robot and (ii) with attached robot. Based on the established model, the dynamic properties (i.e., natural frequencies, mode shapes, and frequency response functions) of the frame in the two variants were analyzed. The obtained results were then experimentally verified and validated. It was found that the developed model showed an average relative error for natural frequencies of 4.3% in the case of the frame and 5.6% in the case of the frame with the robot. The paper demonstrated the validity of the proposed model, allowing accurate and fast determination of robotic system dynamic properties.</description><identifier>ISSN: 1996-1944</identifier><identifier>EISSN: 1996-1944</identifier><identifier>DOI: 10.3390/ma15196797</identifier><identifier>PMID: 36234134</identifier><language>eng</language><publisher>Basel: MDPI AG</publisher><subject>Design ; Finite element analysis ; Finite element method ; Frequency response functions ; Kinematics ; Mathematical models ; Methods ; Modelling ; Resonant frequencies ; Robots ; Steel frames ; Vibration</subject><ispartof>Materials, 2022-09, Vol.15 (19), p.6797</ispartof><rights>COPYRIGHT 2022 MDPI AG</rights><rights>2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2022 by the authors. 2022</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c352t-4d5a72da57df19deb36bf5cd7a715f8ec315d580db7811046c7da94b331854f43</citedby><cites>FETCH-LOGICAL-c352t-4d5a72da57df19deb36bf5cd7a715f8ec315d580db7811046c7da94b331854f43</cites><orcidid>0000-0001-6866-2586 ; 0000-0001-7050-2100 ; 0000-0002-7701-385X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC9571944/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC9571944/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,315,728,781,785,886,27929,27930,53796,53798</link.rule.ids></links><search><creatorcontrib>Grabiec, Jakub</creatorcontrib><creatorcontrib>Pajor, Mirosław</creatorcontrib><creatorcontrib>Dunaj, Paweł</creatorcontrib><title>Finite Element Modeling of Dynamic Properties of the Delta Robot with Base Frame</title><title>Materials</title><description>The paper presents the finite element modeling of the dynamic properties of a delta robot attached to a steel frame. A distinguishing feature of the proposed modeling method is the application of the Guyan reduction method in modeling of frame foundations. The frame in question was analyzed in two variants: (i) without attached robot and (ii) with attached robot. Based on the established model, the dynamic properties (i.e., natural frequencies, mode shapes, and frequency response functions) of the frame in the two variants were analyzed. The obtained results were then experimentally verified and validated. It was found that the developed model showed an average relative error for natural frequencies of 4.3% in the case of the frame and 5.6% in the case of the frame with the robot. The paper demonstrated the validity of the proposed model, allowing accurate and fast determination of robotic system dynamic properties.</description><subject>Design</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Frequency response functions</subject><subject>Kinematics</subject><subject>Mathematical models</subject><subject>Methods</subject><subject>Modelling</subject><subject>Resonant frequencies</subject><subject>Robots</subject><subject>Steel frames</subject><subject>Vibration</subject><issn>1996-1944</issn><issn>1996-1944</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpdkVFPHCEQx0ljU431pZ-ApC-NyemywLK8mFj11MSmpmmfCQvDHWYXrsDZ-O3L5kytwgNk-M2fmf8g9Ik0J5TK5nTShBPZCSneoQMiZbcgkrG9_-776Cjnh6YuSknfyg9on3YtZYSyA3S_9MEXwFcjTBAK_hYtjD6scHT48inoyRt8n-IGUvGQ52hZA76EsWj8Iw6x4D--rPFXnQEvk57gI3rv9Jjh6Pk8RL-WVz8vbhZ3369vL87vFobytiyY5Vq0VnNhHZEWBtoNjhsrtCDc9WAo4Zb3jR1ET0jDOiOslmyYW-DMMXqIzna6m-0wgTW1-KRHtUl-0ulJRe3V65fg12oVH5XkYnalCnx5Fkjx9xZyUZPPBsZRB4jbrFrRVmNZT2b08xv0IW5TqO3NFGtFRzpRqZMdtdIjKB9crP-aui1UF2MA52v8XDAuWEOariYc7xJMijkncP-qJ42ah6tehkv_AhIflBM</recordid><startdate>20220930</startdate><enddate>20220930</enddate><creator>Grabiec, Jakub</creator><creator>Pajor, Mirosław</creator><creator>Dunaj, Paweł</creator><general>MDPI AG</general><general>MDPI</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KB.</scope><scope>PDBOC</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7X8</scope><scope>5PM</scope><orcidid>https://orcid.org/0000-0001-6866-2586</orcidid><orcidid>https://orcid.org/0000-0001-7050-2100</orcidid><orcidid>https://orcid.org/0000-0002-7701-385X</orcidid></search><sort><creationdate>20220930</creationdate><title>Finite Element Modeling of Dynamic Properties of the Delta Robot with Base Frame</title><author>Grabiec, Jakub ; Pajor, Mirosław ; Dunaj, Paweł</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c352t-4d5a72da57df19deb36bf5cd7a715f8ec315d580db7811046c7da94b331854f43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Design</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Frequency response functions</topic><topic>Kinematics</topic><topic>Mathematical models</topic><topic>Methods</topic><topic>Modelling</topic><topic>Resonant frequencies</topic><topic>Robots</topic><topic>Steel frames</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grabiec, Jakub</creatorcontrib><creatorcontrib>Pajor, Mirosław</creatorcontrib><creatorcontrib>Dunaj, Paweł</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>Materials Science Database</collection><collection>Materials Science Collection</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Materials</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grabiec, Jakub</au><au>Pajor, Mirosław</au><au>Dunaj, Paweł</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Finite Element Modeling of Dynamic Properties of the Delta Robot with Base Frame</atitle><jtitle>Materials</jtitle><date>2022-09-30</date><risdate>2022</risdate><volume>15</volume><issue>19</issue><spage>6797</spage><pages>6797-</pages><issn>1996-1944</issn><eissn>1996-1944</eissn><abstract>The paper presents the finite element modeling of the dynamic properties of a delta robot attached to a steel frame. A distinguishing feature of the proposed modeling method is the application of the Guyan reduction method in modeling of frame foundations. The frame in question was analyzed in two variants: (i) without attached robot and (ii) with attached robot. Based on the established model, the dynamic properties (i.e., natural frequencies, mode shapes, and frequency response functions) of the frame in the two variants were analyzed. The obtained results were then experimentally verified and validated. It was found that the developed model showed an average relative error for natural frequencies of 4.3% in the case of the frame and 5.6% in the case of the frame with the robot. The paper demonstrated the validity of the proposed model, allowing accurate and fast determination of robotic system dynamic properties.</abstract><cop>Basel</cop><pub>MDPI AG</pub><pmid>36234134</pmid><doi>10.3390/ma15196797</doi><orcidid>https://orcid.org/0000-0001-6866-2586</orcidid><orcidid>https://orcid.org/0000-0001-7050-2100</orcidid><orcidid>https://orcid.org/0000-0002-7701-385X</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1996-1944
ispartof Materials, 2022-09, Vol.15 (19), p.6797
issn 1996-1944
1996-1944
language eng
recordid cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_9571944
source PubMed Central Open Access; MDPI - Multidisciplinary Digital Publishing Institute; EZB-FREE-00999 freely available EZB journals; PubMed Central; Free Full-Text Journals in Chemistry
subjects Design
Finite element analysis
Finite element method
Frequency response functions
Kinematics
Mathematical models
Methods
Modelling
Resonant frequencies
Robots
Steel frames
Vibration
title Finite Element Modeling of Dynamic Properties of the Delta Robot with Base Frame
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-14T17%3A59%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Finite%20Element%20Modeling%20of%20Dynamic%20Properties%20of%20the%20Delta%20Robot%20with%20Base%20Frame&rft.jtitle=Materials&rft.au=Grabiec,%20Jakub&rft.date=2022-09-30&rft.volume=15&rft.issue=19&rft.spage=6797&rft.pages=6797-&rft.issn=1996-1944&rft.eissn=1996-1944&rft_id=info:doi/10.3390/ma15196797&rft_dat=%3Cgale_pubme%3EA745740106%3C/gale_pubme%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2724276167&rft_id=info:pmid/36234134&rft_galeid=A745740106&rfr_iscdi=true