{"title":"作为二次曲面的结构零件:重新审视弹性椭圆","authors":"T. Baranyai","doi":"10.1177/09560599221081013","DOIUrl":null,"url":null,"abstract":"Elasticity ellipses or central ellipses have been long used in graphic statics to capture the elastic behaviour of structural elements. The paper gives a generalisation the concept both in dimensions and in the possibility of degenerate conics/quadrics. The effect of projective transformations of these quadrics is also given, such that the entire mechanical system can be transformed preserving equilibrium and compatibility between its elements.","PeriodicalId":34964,"journal":{"name":"International Journal of Space Structures","volume":"37 1","pages":"213 - 226"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Structural parts as quadrics: Elasticity ellipses revisited\",\"authors\":\"T. Baranyai\",\"doi\":\"10.1177/09560599221081013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Elasticity ellipses or central ellipses have been long used in graphic statics to capture the elastic behaviour of structural elements. The paper gives a generalisation the concept both in dimensions and in the possibility of degenerate conics/quadrics. The effect of projective transformations of these quadrics is also given, such that the entire mechanical system can be transformed preserving equilibrium and compatibility between its elements.\",\"PeriodicalId\":34964,\"journal\":{\"name\":\"International Journal of Space Structures\",\"volume\":\"37 1\",\"pages\":\"213 - 226\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Space Structures\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1177/09560599221081013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Space Structures","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/09560599221081013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
Structural parts as quadrics: Elasticity ellipses revisited
Elasticity ellipses or central ellipses have been long used in graphic statics to capture the elastic behaviour of structural elements. The paper gives a generalisation the concept both in dimensions and in the possibility of degenerate conics/quadrics. The effect of projective transformations of these quadrics is also given, such that the entire mechanical system can be transformed preserving equilibrium and compatibility between its elements.
期刊介绍:
The aim of the journal is to provide an international forum for the interchange of information on all aspects of analysis, design and construction of space structures. The scope of the journal encompasses structures such as single-, double- and multi-layer grids, barrel vaults, domes, towers, folded plates, radar dishes, tensegrity structures, stressed skin assemblies, foldable structures, pneumatic systems and cable arrangements. No limitation on the type of material is imposed and the scope includes structures constructed in steel, aluminium, timber, concrete, plastics, paperboard and fabric.