Effective Computational Model for Determining the Geometry of the Transition Zone of End Coils of Machined Springs, Enabling Efficient Use of the Spring Material
This paper presents an analysis of the effect of the geometry of the end-coil transition zone on the material stress state of a machined compression spring with a rectangular wire cross-section. The literature relationships for determining the stresses in rectangular wire compression springs neglect...
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| Veröffentlicht in: | Materials 2024-04, Vol.17 (7), p.1540 |
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| creator | Michalczyk, Krzysztof Grzejda, Rafał Urbaś, Andrzej Różyło, Patryk |
| description | This paper presents an analysis of the effect of the geometry of the end-coil transition zone on the material stress state of a machined compression spring with a rectangular wire cross-section. The literature relationships for determining the stresses in rectangular wire compression springs neglect the effects associated with the geometry of this zone. A series of non-linear numerical analyses were carried out for models of machined compression springs with a wide range of variation in geometrical parameters. The results of these analyses were used to develop a computational model to estimate the minimum value of the rounding radius
, which ensures that the stresses in this zone are reduced to the level of the maximum coil stresses. The model is simple to apply, and allows the radius
to be estimated for springs with a spring index between 2.5 and 10, a helix angle between 1° and 15°, and a proportion of the sides of the wire section between 0.4 and 5. |
| doi_str_mv | 10.3390/ma17071540 |
| format | Article |
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, which ensures that the stresses in this zone are reduced to the level of the maximum coil stresses. The model is simple to apply, and allows the radius
to be estimated for springs with a spring index between 2.5 and 10, a helix angle between 1° and 15°, and a proportion of the sides of the wire section between 0.4 and 5.</description><identifier>ISSN: 1996-1944</identifier><identifier>EISSN: 1996-1944</identifier><identifier>DOI: 10.3390/ma17071540</identifier><identifier>PMID: 38612055</identifier><language>eng</language><publisher>Switzerland: MDPI AG</publisher><subject>3-D printers ; Analysis ; Coils ; Compression springs ; Compression zone ; Computer simulation ; Computer-generated environments ; Energy storage ; Numerical analysis ; Skewness ; Stress concentration ; Stresses ; Wire</subject><ispartof>Materials, 2024-04, Vol.17 (7), p.1540</ispartof><rights>COPYRIGHT 2024 MDPI AG</rights><rights>2024 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><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c349t-4afb2791e69ed4868aa8e5dc2fedb6e8335eacd2fa44645fdeffe491497ac2c93</cites><orcidid>0000-0003-0454-6193 ; 0000-0002-8323-1335 ; 0000-0002-1024-5947 ; 0000-0003-1997-3235</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/38612055$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Michalczyk, Krzysztof</creatorcontrib><creatorcontrib>Grzejda, Rafał</creatorcontrib><creatorcontrib>Urbaś, Andrzej</creatorcontrib><creatorcontrib>Różyło, Patryk</creatorcontrib><title>Effective Computational Model for Determining the Geometry of the Transition Zone of End Coils of Machined Springs, Enabling Efficient Use of the Spring Material</title><title>Materials</title><addtitle>Materials (Basel)</addtitle><description>This paper presents an analysis of the effect of the geometry of the end-coil transition zone on the material stress state of a machined compression spring with a rectangular wire cross-section. The literature relationships for determining the stresses in rectangular wire compression springs neglect the effects associated with the geometry of this zone. A series of non-linear numerical analyses were carried out for models of machined compression springs with a wide range of variation in geometrical parameters. The results of these analyses were used to develop a computational model to estimate the minimum value of the rounding radius
, which ensures that the stresses in this zone are reduced to the level of the maximum coil stresses. The model is simple to apply, and allows the radius
to be estimated for springs with a spring index between 2.5 and 10, a helix angle between 1° and 15°, and a proportion of the sides of the wire section between 0.4 and 5.</description><subject>3-D printers</subject><subject>Analysis</subject><subject>Coils</subject><subject>Compression springs</subject><subject>Compression zone</subject><subject>Computer simulation</subject><subject>Computer-generated environments</subject><subject>Energy storage</subject><subject>Numerical analysis</subject><subject>Skewness</subject><subject>Stress concentration</subject><subject>Stresses</subject><subject>Wire</subject><issn>1996-1944</issn><issn>1996-1944</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpdkcFuFSEUhonR2KZ24wMYEjfGeCsMMAPL5nqtJm1c2G7cTLhwaGkYuALTpI_jm8r0tmqEBRz4_v_AOQi9puSEMUU-TpoOZKCCk2fokCrVr6ji_Pk_-wN0XMotaYMxKjv1Eh0w2dOOCHGIfm2cA1P9HeB1mnZz1dWnqAO-SBYCdinjT1AhTz76eI3rDeAzSBPUfI-Te4gvs47FLzL8I0VYjjfRNjsfyhJcaHPjI1j8fZebR_nQrvU2LHYtuTceYsVXBZ789liTtbReh1fohdOhwPHjeoSuPm8u119W59_Ovq5Pz1eGcVVXXLttNygKvQLLZS-1liCs6RzYbQ-SMQHa2M5pznsunIX2ca4oV4M2nVHsCL3b--5y-jlDqePki4EQdIQ0l5ERJnk3SEIb-vY_9DbNuVXtgRqEUKyTjTrZU9c6wOijSzVr06aFyZtWKefb-emgCKGqH0QTvN8LTE6lZHBjq8Sk8_1Iybg0e_zb7Aa_eXzDvJ3A_kGfWst-A_klpZY</recordid><startdate>20240401</startdate><enddate>20240401</enddate><creator>Michalczyk, Krzysztof</creator><creator>Grzejda, Rafał</creator><creator>Urbaś, Andrzej</creator><creator>Różyło, Patryk</creator><general>MDPI AG</general><scope>NPM</scope><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>7X8</scope><orcidid>https://orcid.org/0000-0003-0454-6193</orcidid><orcidid>https://orcid.org/0000-0002-8323-1335</orcidid><orcidid>https://orcid.org/0000-0002-1024-5947</orcidid><orcidid>https://orcid.org/0000-0003-1997-3235</orcidid></search><sort><creationdate>20240401</creationdate><title>Effective Computational Model for Determining the Geometry of the Transition Zone of End Coils of Machined Springs, Enabling Efficient Use of the Spring Material</title><author>Michalczyk, Krzysztof ; 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The literature relationships for determining the stresses in rectangular wire compression springs neglect the effects associated with the geometry of this zone. A series of non-linear numerical analyses were carried out for models of machined compression springs with a wide range of variation in geometrical parameters. The results of these analyses were used to develop a computational model to estimate the minimum value of the rounding radius
, which ensures that the stresses in this zone are reduced to the level of the maximum coil stresses. The model is simple to apply, and allows the radius
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| subjects | 3-D printers Analysis Coils Compression springs Compression zone Computer simulation Computer-generated environments Energy storage Numerical analysis Skewness Stress concentration Stresses Wire |
| title | Effective Computational Model for Determining the Geometry of the Transition Zone of End Coils of Machined Springs, Enabling Efficient Use of the Spring Material |
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