{"title":"展开弯曲的弹性薄片","authors":"C. Wang","doi":"10.1243/JMES_JOUR_1981_023_042_02","DOIUrl":null,"url":null,"abstract":"A curved elastic sheet is flattened on a rigid flat plate by vertical end forces. The problem is governed by a non-dimensional parameter, B, which signifies the relative importance of flexural rigidity to the applied force and the natural radius. The elastica equations are solved by elliptic functions, perturbation for small B, and numerical integration. Force-displacement characteristics and sheet configurations are found. The results may be applied to sandwiched leaf springs.","PeriodicalId":114598,"journal":{"name":"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1981-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Unfolding a Curved Elastic Sheet\",\"authors\":\"C. Wang\",\"doi\":\"10.1243/JMES_JOUR_1981_023_042_02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A curved elastic sheet is flattened on a rigid flat plate by vertical end forces. The problem is governed by a non-dimensional parameter, B, which signifies the relative importance of flexural rigidity to the applied force and the natural radius. The elastica equations are solved by elliptic functions, perturbation for small B, and numerical integration. Force-displacement characteristics and sheet configurations are found. The results may be applied to sandwiched leaf springs.\",\"PeriodicalId\":114598,\"journal\":{\"name\":\"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1981-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1243/JMES_JOUR_1981_023_042_02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1243/JMES_JOUR_1981_023_042_02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A curved elastic sheet is flattened on a rigid flat plate by vertical end forces. The problem is governed by a non-dimensional parameter, B, which signifies the relative importance of flexural rigidity to the applied force and the natural radius. The elastica equations are solved by elliptic functions, perturbation for small B, and numerical integration. Force-displacement characteristics and sheet configurations are found. The results may be applied to sandwiched leaf springs.
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