Analytical model and experimental verification of an elliptical bridge-type compliant displacement amplification mechanism
In this paper, an analytical model of elliptical bridge-type compliant mechanism is established. Compared with the traditional bridge mechanism, the elliptical bridge-type compliant mechanism has the advantages of light weight, high natural frequency, and more uniform stress distribution. Based on t...
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| Veröffentlicht in: | Review of scientific instruments 2021-05, Vol.92 (5), p.055109-055109 |
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| container_title | Review of scientific instruments |
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| creator | Wu, Haitao Lai, Leijie Zhu, Limin |
| description | In this paper, an analytical model of elliptical bridge-type compliant mechanism is established. Compared with the traditional bridge mechanism, the elliptical bridge-type compliant mechanism has the advantages of light weight, high natural frequency, and more uniform stress distribution. Based on the strain energy and Castigliano’s displacement theorem, a static model for calculating the displacement amplification ratio and input stiffness is established. Then, the Lagrange equation is used to establish the dynamic model to calculate the natural frequency. After that, finite element simulation and experimental test are both used to verify the proposed analytical model. The results show that the maximum error between the analytical model and finite element simulation is within 8.25% and that of the experimental results is within 6.25%. The conclusion of this paper provides an accurate prediction analytical method for the mechanical performance index design of the elliptical compliant mechanism, which has important theoretical significance. |
| doi_str_mv | 10.1063/5.0047420 |
| format | Article |
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Compared with the traditional bridge mechanism, the elliptical bridge-type compliant mechanism has the advantages of light weight, high natural frequency, and more uniform stress distribution. Based on the strain energy and Castigliano’s displacement theorem, a static model for calculating the displacement amplification ratio and input stiffness is established. Then, the Lagrange equation is used to establish the dynamic model to calculate the natural frequency. After that, finite element simulation and experimental test are both used to verify the proposed analytical model. The results show that the maximum error between the analytical model and finite element simulation is within 8.25% and that of the experimental results is within 6.25%. The conclusion of this paper provides an accurate prediction analytical method for the mechanical performance index design of the elliptical compliant mechanism, which has important theoretical significance.</description><identifier>ISSN: 0034-6748</identifier><identifier>EISSN: 1089-7623</identifier><identifier>DOI: 10.1063/5.0047420</identifier><identifier>CODEN: RSINAK</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Amplification ; Displacement ; Dynamic models ; Error analysis ; Euler-Lagrange equation ; Finite element method ; Mathematical analysis ; Mechanical properties ; Performance indices ; Resonant frequencies ; Scientific apparatus & instruments ; Static models ; Stiffness ; Stress concentration ; Stress distribution ; Weight reduction</subject><ispartof>Review of scientific instruments, 2021-05, Vol.92 (5), p.055109-055109</ispartof><rights>Author(s)</rights><rights>2021 Author(s). Published under license by AIP Publishing.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-e5c07379af42f79e6f6852a7e78f98af29314c619ee0fbee7de24433a29a91b73</citedby><cites>FETCH-LOGICAL-c360t-e5c07379af42f79e6f6852a7e78f98af29314c619ee0fbee7de24433a29a91b73</cites><orcidid>0000-0002-8767-4715</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/rsi/article-lookup/doi/10.1063/5.0047420$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,778,782,792,4500,27907,27908,76135</link.rule.ids></links><search><creatorcontrib>Wu, Haitao</creatorcontrib><creatorcontrib>Lai, Leijie</creatorcontrib><creatorcontrib>Zhu, Limin</creatorcontrib><title>Analytical model and experimental verification of an elliptical bridge-type compliant displacement amplification mechanism</title><title>Review of scientific instruments</title><description>In this paper, an analytical model of elliptical bridge-type compliant mechanism is established. Compared with the traditional bridge mechanism, the elliptical bridge-type compliant mechanism has the advantages of light weight, high natural frequency, and more uniform stress distribution. Based on the strain energy and Castigliano’s displacement theorem, a static model for calculating the displacement amplification ratio and input stiffness is established. Then, the Lagrange equation is used to establish the dynamic model to calculate the natural frequency. After that, finite element simulation and experimental test are both used to verify the proposed analytical model. The results show that the maximum error between the analytical model and finite element simulation is within 8.25% and that of the experimental results is within 6.25%. The conclusion of this paper provides an accurate prediction analytical method for the mechanical performance index design of the elliptical compliant mechanism, which has important theoretical significance.</description><subject>Amplification</subject><subject>Displacement</subject><subject>Dynamic models</subject><subject>Error analysis</subject><subject>Euler-Lagrange equation</subject><subject>Finite element method</subject><subject>Mathematical analysis</subject><subject>Mechanical properties</subject><subject>Performance indices</subject><subject>Resonant frequencies</subject><subject>Scientific apparatus & instruments</subject><subject>Static models</subject><subject>Stiffness</subject><subject>Stress concentration</subject><subject>Stress distribution</subject><subject>Weight reduction</subject><issn>0034-6748</issn><issn>1089-7623</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp90V1LwzAUBuAgCs7phf-g4I0KnflOezmGXzDwRq9Llp5oRtvUphvOX2_qxgQFc5NwePLCOQehc4InBEt2IyYYc8UpPkAjgrM8VZKyQzTCmPFUKp4do5MQljgeQcgIfU4bXW16Z3SV1L6EKtFNmcBHC52roeljeR2fNoLe-SbxNoIEqsq120-LzpWvkPabFhLj67ZyuumT0oW20gaGiEQP1X1CDeZNNy7Up-jI6irA2e4eo5e72-fZQzp_un-cTeepYRL3KQiDFVO5tpxalYO0MhNUK1CZzTNtac4IN5LkANguAFQJlHPGNM11ThaKjdHlNrft_PsKQl_ULpjYgm7Ar0JBhcBUKiFlpBe_6NKvujihQTEmKCaSR3W1VabzIXRgizYOS3ebguBi2EIhit0Wor3e2mBc_z2APV777gcWbWn_w3-TvwC5YZec</recordid><startdate>20210501</startdate><enddate>20210501</enddate><creator>Wu, Haitao</creator><creator>Lai, Leijie</creator><creator>Zhu, Limin</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0002-8767-4715</orcidid></search><sort><creationdate>20210501</creationdate><title>Analytical model and experimental verification of an elliptical bridge-type compliant displacement amplification mechanism</title><author>Wu, Haitao ; Lai, Leijie ; Zhu, Limin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-e5c07379af42f79e6f6852a7e78f98af29314c619ee0fbee7de24433a29a91b73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Amplification</topic><topic>Displacement</topic><topic>Dynamic models</topic><topic>Error analysis</topic><topic>Euler-Lagrange equation</topic><topic>Finite element method</topic><topic>Mathematical analysis</topic><topic>Mechanical properties</topic><topic>Performance indices</topic><topic>Resonant frequencies</topic><topic>Scientific apparatus & instruments</topic><topic>Static models</topic><topic>Stiffness</topic><topic>Stress concentration</topic><topic>Stress distribution</topic><topic>Weight reduction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Haitao</creatorcontrib><creatorcontrib>Lai, Leijie</creatorcontrib><creatorcontrib>Zhu, Limin</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Review of scientific instruments</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Haitao</au><au>Lai, Leijie</au><au>Zhu, Limin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical model and experimental verification of an elliptical bridge-type compliant displacement amplification mechanism</atitle><jtitle>Review of scientific instruments</jtitle><date>2021-05-01</date><risdate>2021</risdate><volume>92</volume><issue>5</issue><spage>055109</spage><epage>055109</epage><pages>055109-055109</pages><issn>0034-6748</issn><eissn>1089-7623</eissn><coden>RSINAK</coden><abstract>In this paper, an analytical model of elliptical bridge-type compliant mechanism is established. Compared with the traditional bridge mechanism, the elliptical bridge-type compliant mechanism has the advantages of light weight, high natural frequency, and more uniform stress distribution. Based on the strain energy and Castigliano’s displacement theorem, a static model for calculating the displacement amplification ratio and input stiffness is established. Then, the Lagrange equation is used to establish the dynamic model to calculate the natural frequency. After that, finite element simulation and experimental test are both used to verify the proposed analytical model. The results show that the maximum error between the analytical model and finite element simulation is within 8.25% and that of the experimental results is within 6.25%. The conclusion of this paper provides an accurate prediction analytical method for the mechanical performance index design of the elliptical compliant mechanism, which has important theoretical significance.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0047420</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0002-8767-4715</orcidid></addata></record> |
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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Amplification Displacement Dynamic models Error analysis Euler-Lagrange equation Finite element method Mathematical analysis Mechanical properties Performance indices Resonant frequencies Scientific apparatus & instruments Static models Stiffness Stress concentration Stress distribution Weight reduction |
| title | Analytical model and experimental verification of an elliptical bridge-type compliant displacement amplification mechanism |
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