{"created":"2025-06-11T04:32:09.798351+00:00","id":2040717,"links":{},"metadata":{"_buckets":{"deposit":"db1a4162-1270-44db-9eb2-363ed20f4444"},"_deposit":{"created_by":83,"id":"2040717","owner":"83","owners":[83],"pid":{"revision_id":0,"type":"depid","value":"2040717"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02040717","sets":["1730444907710"]},"author_link":[],"control_number":"2040717","item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Modal Analysis for Localization in Multiple Nonlinear Tuned Mass Dampers Installed on a Structure","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Harata, Yuji","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Ikeda, Takashi","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Matsuura, Shuma","creatorNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"embargoed access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_f1cf"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"This is not the published version. Please cite only the published version.","subitem_rights_language":"en"},{"subitem_rights":"この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。","subitem_rights_language":"ja"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"nonlinear tuned mass damper","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"localization","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"harmonic vibration","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"modal analysis","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"autoparametric resonance","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"frequency response curve (FRC)","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Localization may occur in systems where multiple nonlinear units are coupled with each other. Additionally, localization may occur in multiple nonlinear tuned mass dampers (TMDs) installed on a structure subjected to harmonic excitation. This paper clarifies the cause of localization via modal analysis. First, the equations of motion for a structure with multiple nonlinear TMDs, which are expressed in physical coordinates, are transformed to equations in modal coordinates. When identical TMDs are used, the lowest and highest modes are decoupled in the linear terms to the other modes; however, all these modes are nonlinearly coupled with each other. In addition, the lowest and highest modes are directly excited by an external force, but the other modes are not directly excited. Therefore, the modal equations of motion form an autoparametric system. Van der Pol's method is employed to determine the frequency response curves (FRCs) for harmonic vibrations in modal coordinates. The FRCs and time histories in modal coordinates are calculated when two or three TMDs are installed on the structure; subsequently, those in physical coordinates are determined via coordinate transformation. Numerical results indicate that localization may occur when more than two modes appear simultaneously. Furthermore, the excitation frequency range where localization occurs is theoretically clarified based on backbone curves.","subitem_description_language":"en","subitem_description_type":"Abstract"},{"subitem_description":"This study was partially supported by JSPS KAKENHI (grant number JP20K04363).","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"American Society of Mechanical Engineers","subitem_publisher_language":"en"}]},"item_1617186660861":{"attribute_name":"Date","attribute_value_mlt":[{"subitem_date_issued_datetime":"2026-01-28","subitem_date_issued_type":"Available"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186901218":{"attribute_name":"Funding Reference","attribute_value_mlt":[{"subitem_award_numbers":{"subitem_award_number":"20K04363","subitem_award_uri":"https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-20K04363/"},"subitem_award_titles":[{"subitem_award_title":"複数の非線形ユニットを含む振動系に発生する局在化現象の解明とその発生防止策","subitem_award_title_language":"ja"},{"subitem_award_title":"Investigation of Localization Phenomena in Vibratory Systems Having Multiple Nonlinear Units and Preventive Countermeasures of Theses Phenomena","subitem_award_title_language":"en"}],"subitem_funder_identifiers":{"subitem_funder_identifier_type":"Crossref Funder","subitem_funder_identifier_type_uri":"https://doi.org/10.13039/501100001691"},"subitem_funder_names":[{"subitem_funder_name":"日本学術振興会","subitem_funder_name_language":"ja"},{"subitem_funder_name":"Japan Society for the Promotion of Science","subitem_funder_name_language":"en"}]}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"1555-1415","subitem_source_identifier_type":"ISSN"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2025-01-28","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageStart":"031006","bibliographicVolumeNumber":"20","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS","bibliographic_titleLang":"en"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1115/1.4067582","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2026-01-28"}],"fileDate":[{"fileDateType":"Available","fileDateValue":"2026-01-28"}],"filename":"JCND_20_3_031006カバーページ付き.pdf","filesize":[{"value":"778 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2040717/files/JCND_20_3_031006カバーページ付き.pdf"},"version_id":"27705f60-32a1-4aba-b472-91f38f7511ba"}]},"item_1732772494514":{"attribute_name":"備考","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"The full-text file will be made open to the public on [28 Jan 2026] in accordance with publisher's 'Terms and Conditions for Self-Archiving'"}]},"item_title":"Modal Analysis for Localization in Multiple Nonlinear Tuned Mass Dampers Installed on a Structure","item_type_id":"40036","owner":"83","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2025-06-18"},"publish_date":"2025-06-18","publish_status":"0","recid":"2040717","relation_version_is_last":true,"title":["Modal Analysis for Localization in Multiple Nonlinear Tuned Mass Dampers Installed on a Structure"],"weko_creator_id":"83","weko_shared_id":-1},"updated":"2025-06-18T06:47:01.082878+00:00"}