{"id":{"repo_id":"cambridge","oai_identifier":"oai:www.repository.cam.ac.uk:1810/299418"},"canonical_url":"https://search.dev.ndltd.org/etd/cambridge/oai:www.repository.cam.ac.uk:1810/299418","repository":{"repo_id":"cambridge","name":"Cambridge University","base_url":"https://api.repository.cam.ac.uk/server/oai/request"},"display":{"title":"A Study of Symmetry Breaking and Stability in Conical Shells and the Implications for Actuators","abstract":"This thesis primarily explores the stability of spherically capped conical shells and secondarily explores the nature of the polygonal folds observed during these deformations. The polygonal folds were classified according to the number of facets observed. The problem is primarily explored using Finite Element Method (FEM) studies of rigid indentations of spherically capped conical shells of varying thickness, cone angle, and slant height. The main finding of the FEM studies is that the capped shells suddenly buckle during the indentation as the ridge approaches the region where the cap and conical shell meet. The geometry of this join region dominates the shell response for all the studied spherically capped conical shells and provides another perspective on how local geometry affects a shell’s response to indentation. Experimentally a commercially bought rubber conical shell is qualitatively observed to show that the shell can be poked and folded to remain statically in a wide number of folded shapes. While the thesis does not answer the reason for this stability, the combination of the FEM studies and exploration of the rubber conical shell suggest that the observed stability is likely linked to the interaction between the cap and conical shell.","abstract_html":"This thesis primarily explores the stability of spherically capped conical shells and secondarily explores the nature of the polygonal folds observed during these deformations. The polygonal folds were classified according to the number of facets observed. The problem is primarily explored using Finite Element Method (FEM) studies of rigid indentations of spherically capped conical shells of varying thickness, cone angle, and slant height. The main finding of the FEM studies is that the capped shells suddenly buckle during the indentation as the ridge approaches the region where the cap and conical shell meet. The geometry of this join region dominates the shell response for all the studied spherically capped conical shells and provides another perspective on how local geometry affects a shell’s response to indentation. Experimentally a commercially bought rubber conical shell is qualitatively observed to show that the shell can be poked and folded to remain statically in a wide number of folded shapes. While the thesis does not answer the reason for this stability, the combination of the FEM studies and exploration of the rubber conical shell suggest that the observed stability is likely linked to the interaction between the cap and conical shell.","abstract_has_math":false,"creators":["Ramachandran, Arathi"],"institution":"University of Cambridge","degree_name":"Doctor of Philosophy (PhD)","degree_level":"Doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Elliott, James"],"committee_chairs":[],"committee_members":[],"year":2020,"date_issued":"2020-07-18","date_published":"2020-07-18","updated_at":"2026-07-22T22:24:01Z","subjects":["shell buckling","Finite Element Method","Cones"],"languages":["en"],"rights":[],"rights_urls":["https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/c355e5f9-32ed-45f8-a626-fee40c268f03/download","https://www.rioxx.net/licenses/all-rights-reserved/"],"identifier_entries":[]},"links":{"outbound_url":"https://doi.org/10.17863/CAM.46485","outbound_label":"DOI","outbound_source":"dc:identifier.doi"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Elliott, James"]},{"key":"dc:creator","label":"Author","values":["Ramachandran, Arathi"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2020-07-18"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cambridge"]},{"key":"dc:relation.isreferencedby.uri","label":"Dc Relation Isreferencedby URI","values":["https://www.repository.cam.ac.uk/handle/1810/299418"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["shell buckling","Finite Element Method","Cones"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/c355e5f9-32ed-45f8-a626-fee40c268f03/download","https://www.rioxx.net/licenses/all-rights-reserved/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["10.17863/CAM.46485"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/651912fc-8a64-4e98-91d6-a72317f728f0/download"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This thesis primarily explores the stability of spherically capped conical shells and secondarily explores the nature of the polygonal folds observed during these deformations. 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While the thesis does not answer the reason for this stability, the combination of the FEM studies and exploration of the rubber conical shell suggest that the observed stability is likely linked to the interaction between the cap and conical shell."]},{"key":"dc:format.checksum.md5","label":"Dc Format Checksum Md5","values":["3cd782d646d27ac0c84b6e65a1d83993","87eda9de84448d1f82354d60eee3eb5f"]},{"key":"dc:title","label":"Title","values":["A Study of Symmetry Breaking and Stability in Conical Shells and the Implications for Actuators"]}]}],"canonical_facts":{"dc:contributor.advisor":["Elliott, James"],"dc:creator":["Ramachandran, Arathi"],"dc:date.issued":["2020-07-18"],"dc:description.abstract":["This thesis primarily explores the stability of spherically capped conical shells and secondarily explores the nature of the polygonal folds observed during these deformations. The polygonal folds were classified according to the number of facets observed. 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