Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear
Stapes fracture causes hearing loss and instability in the middle ear hearing system (MEHS). The material used in the stapes reconstruction restores stapes, but the effects of the nonlinear material parameters on the stability of the MEHS are still unknown. To address this challenge, the nonlinear d...
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| Veröffentlicht in: | Applied mathematics and mechanics 2023-10, Vol.44 (10), p.1739-1760 |
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| container_title | Applied mathematics and mechanics |
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| creator | Wang, Lele Wang, Liang Zhu, Yueting Liu, Zhanli Sun, Yongtao Wang, Jie Han, Hongge Xiang, Shuyi Shi, Huibin Ding, Qian |
| description | Stapes fracture causes hearing loss and instability in the middle ear hearing system (MEHS). The material used in the stapes reconstruction restores stapes, but the effects of the nonlinear material parameters on the stability of the MEHS are still unknown. To address this challenge, the nonlinear dynamic response and stability of the stapes reconstruction are investigated using a multi-degree-of-freedom mechanical model. The material parameters of the implant are tentatively determined by analyzing the natural frequencies of the undamped system. The dynamical properties of the MEHS are characterized under different external excitations. The approximate solution of the MEHS near the resonant frequency is derived through the multiple-time-scale method (MTSM). The results show that the nonlinear stiffness of the material has little influence on the MEHS in the healthy state, but it causes resonant phenomena between the ossicle and the implant in the pathological state. |
| doi_str_mv | 10.1007/s10483-023-3037-9 |
| format | Article |
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The material used in the stapes reconstruction restores stapes, but the effects of the nonlinear material parameters on the stability of the MEHS are still unknown. To address this challenge, the nonlinear dynamic response and stability of the stapes reconstruction are investigated using a multi-degree-of-freedom mechanical model. The material parameters of the implant are tentatively determined by analyzing the natural frequencies of the undamped system. The dynamical properties of the MEHS are characterized under different external excitations. The approximate solution of the MEHS near the resonant frequency is derived through the multiple-time-scale method (MTSM). The results show that the nonlinear stiffness of the material has little influence on the MEHS in the healthy state, but it causes resonant phenomena between the ossicle and the implant in the pathological state.</description><edition>English ed.</edition><identifier>ISSN: 0253-4827</identifier><identifier>EISSN: 1573-2754</identifier><identifier>DOI: 10.1007/s10483-023-3037-9</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applications of Mathematics ; Classical Mechanics ; Degrees of freedom ; Dynamic response ; Dynamic stability ; Dynamical systems ; Fluid- and Aerodynamics ; Hearing ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Middle ear ; Nonlinear dynamics ; Nonlinear response ; Parameters ; Partial Differential Equations ; Reconstruction ; Resonant frequencies ; Stability analysis</subject><ispartof>Applied mathematics and mechanics, 2023-10, Vol.44 (10), p.1739-1760</ispartof><rights>Shanghai University 2023</rights><rights>Shanghai University 2023.</rights><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c303t-81bea3efc51e15bfdf56ee79358dd0f16a766448654a059387f5b469b11441483</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://www.wanfangdata.com.cn/images/PeriodicalImages/yysxhlx-e/yysxhlx-e.jpg</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10483-023-3037-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10483-023-3037-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Wang, Lele</creatorcontrib><creatorcontrib>Wang, Liang</creatorcontrib><creatorcontrib>Zhu, Yueting</creatorcontrib><creatorcontrib>Liu, Zhanli</creatorcontrib><creatorcontrib>Sun, Yongtao</creatorcontrib><creatorcontrib>Wang, Jie</creatorcontrib><creatorcontrib>Han, Hongge</creatorcontrib><creatorcontrib>Xiang, Shuyi</creatorcontrib><creatorcontrib>Shi, Huibin</creatorcontrib><creatorcontrib>Ding, Qian</creatorcontrib><title>Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear</title><title>Applied mathematics and mechanics</title><addtitle>Appl. Math. Mech.-Engl. Ed</addtitle><description>Stapes fracture causes hearing loss and instability in the middle ear hearing system (MEHS). The material used in the stapes reconstruction restores stapes, but the effects of the nonlinear material parameters on the stability of the MEHS are still unknown. To address this challenge, the nonlinear dynamic response and stability of the stapes reconstruction are investigated using a multi-degree-of-freedom mechanical model. The material parameters of the implant are tentatively determined by analyzing the natural frequencies of the undamped system. The dynamical properties of the MEHS are characterized under different external excitations. The approximate solution of the MEHS near the resonant frequency is derived through the multiple-time-scale method (MTSM). The results show that the nonlinear stiffness of the material has little influence on the MEHS in the healthy state, but it causes resonant phenomena between the ossicle and the implant in the pathological state.</description><subject>Applications of Mathematics</subject><subject>Classical Mechanics</subject><subject>Degrees of freedom</subject><subject>Dynamic response</subject><subject>Dynamic stability</subject><subject>Dynamical systems</subject><subject>Fluid- and Aerodynamics</subject><subject>Hearing</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Middle ear</subject><subject>Nonlinear dynamics</subject><subject>Nonlinear response</subject><subject>Parameters</subject><subject>Partial Differential Equations</subject><subject>Reconstruction</subject><subject>Resonant frequencies</subject><subject>Stability analysis</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAURYMoOI7-AHcBd0I0n027lMEvGHSj65C2yUyGNq1Ji_bfm1JhVq4e4Z17eTkAXBN8RzCW95FgnjOEKUMMM4mKE7AiQjJEpeCnYIWpYIjnVJ6DixgPGGMuOV-B8q3zjfNGB1hPXreugsHEvvPRQO1rGAddusYNU3rpZoouws7CYW_mTW9ioqsED2GsBtd56Dzcj632sHV13RiYii_BmdVNNFd_cw0-nx4_Ni9o-_78unnYoipdPKCclEYzYytBDBGlra3IjJEFE3ldY0syLbOM8zwTXGNRsFxaUfKsKAnhnKTPr8Ht0vutvdV-pw7dGNLRUU1T_Nk3P8rQ5CfpwlmCbxa4D93XaOJwpGkusaS8oDNFFqoKXYzBWNUH1-owKYLV7F0t3lXqVbN3VaQMXTIxsX5nwrH5_9AvMsWF7A</recordid><startdate>20231001</startdate><enddate>20231001</enddate><creator>Wang, Lele</creator><creator>Wang, Liang</creator><creator>Zhu, Yueting</creator><creator>Liu, Zhanli</creator><creator>Sun, Yongtao</creator><creator>Wang, Jie</creator><creator>Han, Hongge</creator><creator>Xiang, Shuyi</creator><creator>Shi, Huibin</creator><creator>Ding, Qian</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>Department of Mechanics,Tianjin University,Tianjin 300350,China</general><general>Tianjin Key Laboratory of Nonlinear Dynamics and Control,Tianjin University,Tianjin 300350,China%Department of Otolaryngology,Head and Neck Surgery,Tianjin Children's Hospital,Tianjin University,Tianjin 300400,China%School of Aerospace Engineering,Tsinghua University,Beijing 100084,China%Department of Otolaryngology Head and Neck Surgery,Beijing Tongren Hospital,Capital Medical University,Beijing 100730,China</general><general>Beijing Engineering Research Center of Audiological Technology,Beijing 100730,China</general><general>Key Laboratory of Otolaryngology Head and Neck Surgery,Ministry of Education,Beijing 100730,China</general><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20231001</creationdate><title>Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear</title><author>Wang, Lele ; Wang, Liang ; Zhu, Yueting ; Liu, Zhanli ; Sun, Yongtao ; Wang, Jie ; Han, Hongge ; Xiang, Shuyi ; Shi, Huibin ; Ding, Qian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c303t-81bea3efc51e15bfdf56ee79358dd0f16a766448654a059387f5b469b11441483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Applications of Mathematics</topic><topic>Classical Mechanics</topic><topic>Degrees of freedom</topic><topic>Dynamic response</topic><topic>Dynamic stability</topic><topic>Dynamical systems</topic><topic>Fluid- and Aerodynamics</topic><topic>Hearing</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Middle ear</topic><topic>Nonlinear dynamics</topic><topic>Nonlinear response</topic><topic>Parameters</topic><topic>Partial Differential Equations</topic><topic>Reconstruction</topic><topic>Resonant frequencies</topic><topic>Stability analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Lele</creatorcontrib><creatorcontrib>Wang, Liang</creatorcontrib><creatorcontrib>Zhu, Yueting</creatorcontrib><creatorcontrib>Liu, Zhanli</creatorcontrib><creatorcontrib>Sun, Yongtao</creatorcontrib><creatorcontrib>Wang, Jie</creatorcontrib><creatorcontrib>Han, Hongge</creatorcontrib><creatorcontrib>Xiang, Shuyi</creatorcontrib><creatorcontrib>Shi, Huibin</creatorcontrib><creatorcontrib>Ding, Qian</creatorcontrib><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Applied mathematics and mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Lele</au><au>Wang, Liang</au><au>Zhu, Yueting</au><au>Liu, Zhanli</au><au>Sun, Yongtao</au><au>Wang, Jie</au><au>Han, Hongge</au><au>Xiang, Shuyi</au><au>Shi, Huibin</au><au>Ding, Qian</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear</atitle><jtitle>Applied mathematics and mechanics</jtitle><stitle>Appl. Math. Mech.-Engl. Ed</stitle><date>2023-10-01</date><risdate>2023</risdate><volume>44</volume><issue>10</issue><spage>1739</spage><epage>1760</epage><pages>1739-1760</pages><issn>0253-4827</issn><eissn>1573-2754</eissn><abstract>Stapes fracture causes hearing loss and instability in the middle ear hearing system (MEHS). The material used in the stapes reconstruction restores stapes, but the effects of the nonlinear material parameters on the stability of the MEHS are still unknown. To address this challenge, the nonlinear dynamic response and stability of the stapes reconstruction are investigated using a multi-degree-of-freedom mechanical model. The material parameters of the implant are tentatively determined by analyzing the natural frequencies of the undamped system. The dynamical properties of the MEHS are characterized under different external excitations. The approximate solution of the MEHS near the resonant frequency is derived through the multiple-time-scale method (MTSM). The results show that the nonlinear stiffness of the material has little influence on the MEHS in the healthy state, but it causes resonant phenomena between the ossicle and the implant in the pathological state.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s10483-023-3037-9</doi><tpages>22</tpages><edition>English ed.</edition></addata></record> |
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| subjects | Applications of Mathematics Classical Mechanics Degrees of freedom Dynamic response Dynamic stability Dynamical systems Fluid- and Aerodynamics Hearing Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Middle ear Nonlinear dynamics Nonlinear response Parameters Partial Differential Equations Reconstruction Resonant frequencies Stability analysis |
| title | Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear |
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