{"created":"2023-05-25T05:23:14.749884+00:00","id":689,"links":{},"metadata":{"_buckets":{"deposit":"1ec731ce-c927-487f-97a7-5f996039f295"},"_deposit":{"created_by":3,"id":"689","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"689"},"status":"published"},"_oai":{"id":"oai:yamagata.repo.nii.ac.jp:00000689","sets":["34:36"]},"author_link":["2921","2920"],"item_3_alternative_title_18":{"attribute_name":"その他の言語のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"On a Study of Vibrations of Cylindrical Shells Lagrangian based on the Flugges Equation"}]},"item_3_alternative_title_19":{"attribute_name":"タイトル（ヨミ）","attribute_value_mlt":[{"subitem_alternative_title":"エントウカク ノ シンドウ ノ イチカイホウ ニツイテ Flugge ノ ホウテイシキ ニモトヅク ラグランジュアン"}]},"item_3_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1969-03-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"209","bibliographicPageStart":"195","bibliographicVolumeNumber":"10","bibliographic_titles":[{"bibliographic_title":"山形大学紀要.工学"}]}]},"item_3_description_42":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_3_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"A study of vibrations of cylindrical shells by means of the Lagrangian-minimizing-method has been made by Professor Shin Takahashi. The Lagrangian employed in his method of analysis has been found within the scope of ”Love's first approximation” based on two types of approximations;　a) The straight fibres of a shell which are perpendicular to the middle surface before deformation remain so after deformation and do not change their length, and the normal stresses in the thickness direction of the shell may be neglected in comparison with the other stresses.　b) The ratio of thickness to radii of curvatures is negligibly small compared to unity.　Flugge has obtained stress strain relations by retaining assumption a) but without the use of assumption b).　The present paper deals with the Lagrangian corresponding to the fundamental equations called ”Flugge's equation” derived from this system of stress strain relations. First, we find the strain energy of a cylindrical shell and the Lagrangian represented in terms of dispalcements. Secondly, we get the Euler equations coinciding with the Flugge equations and the boundary conditions by means of calculus of variations. Lastly, we have the solutions of this system of equations specified by the boundary values and the Lagrangian given by introducing them into itself which yields the frequency equations being minimized with respect to unknown boundary values.","subitem_description_type":"Other"}]},"item_3_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"2921","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Hirano,  Yoshitaro"}]}]},"item_3_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"山形大学"}]},"item_3_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00242991","subitem_source_identifier_type":"NCID"}]},"item_3_text_33":{"attribute_name":"出版者（ヨミ）","attribute_value_mlt":[{"subitem_text_value":"ヤマガタ ダイガク"}]},"item_3_text_34":{"attribute_name":"別言語の出版者","attribute_value_mlt":[{"subitem_text_value":"Yamagata University"}]},"item_3_text_43":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_3_text_44":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_3_text_45":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_3_text_46":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"平野,  芳太郎"}],"nameIdentifiers":[{"nameIdentifier":"2920","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-08-21"}],"displaytype":"detail","filename":"kiyoue-10-2-07-1_merged.pdf","filesize":[{"value":"421.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kiyoue-10-2-07-1_merged.pdf","url":"https://yamagata.repo.nii.ac.jp/record/689/files/kiyoue-10-2-07-1_merged.pdf"},"version_id":"0c89fa5e-645b-4b54-9160-dd78463a6943"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"円筒殻の振動の一解法についてFluggeの方程式にもとづくラグランジュアン","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"円筒殻の振動の一解法についてFluggeの方程式にもとづくラグランジュアン"}]},"item_type_id":"3","owner":"3","path":["36"],"pubdate":{"attribute_name":"公開日","attribute_value":"2007-09-06"},"publish_date":"2007-09-06","publish_status":"0","recid":"689","relation_version_is_last":true,"title":["円筒殻の振動の一解法についてFluggeの方程式にもとづくラグランジュアン"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-05-25T07:13:42.694674+00:00"}