{"title":"压缩条件下Ω弦杆加固复合板局部屈曲的闭式解析解","authors":"Cherine El Yaakoubi-Mesbah, Christian Mittelstedt","doi":"10.1016/j.compstruct.2024.118716","DOIUrl":null,"url":null,"abstract":"<div><div>The use of stiffened thin-walled lightweight structures in e.g. aircraft fuselages requires efficient calculation methods to describe the stability behavior. In this work, a closed-form model for the local buckling analysis of orthotropic composite plates braced by omega-stringers is developed. The problem can be reduced to a plate simply supported at all edges subjected to uniaxial compression with eccentrically attached stringer feet, while the stringer itself is modeled as restraint stiffnesses along the longitudinal edges. The discontinuities in the stiffnesses introduced by the stringer feet result in discontinuities in the curvature behavior and the shear distortion of the structure. In order to map this influence on the local buckling behavior, the reduced model is divided into plate segments of corresponding stiffnesses, for which Ritz-based approach functions for the deformations are defined. Finally, an explicit formulation of the buckling load is derived using the energy method. To validate the model, the Lévy solution is obtained and a finite element analysis is conducted. The results of the parameter studies demonstrate excellent agreement within the design space of the aviation application area.</div></div>","PeriodicalId":281,"journal":{"name":"Composite Structures","volume":"353 ","pages":"Article 118716"},"PeriodicalIF":6.3000,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Closed-form analytical solution for local buckling of omega-stringer-stiffened composite panels under compression\",\"authors\":\"Cherine El Yaakoubi-Mesbah, Christian Mittelstedt\",\"doi\":\"10.1016/j.compstruct.2024.118716\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The use of stiffened thin-walled lightweight structures in e.g. aircraft fuselages requires efficient calculation methods to describe the stability behavior. In this work, a closed-form model for the local buckling analysis of orthotropic composite plates braced by omega-stringers is developed. The problem can be reduced to a plate simply supported at all edges subjected to uniaxial compression with eccentrically attached stringer feet, while the stringer itself is modeled as restraint stiffnesses along the longitudinal edges. The discontinuities in the stiffnesses introduced by the stringer feet result in discontinuities in the curvature behavior and the shear distortion of the structure. In order to map this influence on the local buckling behavior, the reduced model is divided into plate segments of corresponding stiffnesses, for which Ritz-based approach functions for the deformations are defined. Finally, an explicit formulation of the buckling load is derived using the energy method. To validate the model, the Lévy solution is obtained and a finite element analysis is conducted. The results of the parameter studies demonstrate excellent agreement within the design space of the aviation application area.</div></div>\",\"PeriodicalId\":281,\"journal\":{\"name\":\"Composite Structures\",\"volume\":\"353 \",\"pages\":\"Article 118716\"},\"PeriodicalIF\":6.3000,\"publicationDate\":\"2024-11-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Composite Structures\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0263822324008444\",\"RegionNum\":2,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATERIALS SCIENCE, COMPOSITES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Composite Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263822324008444","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}
Closed-form analytical solution for local buckling of omega-stringer-stiffened composite panels under compression
The use of stiffened thin-walled lightweight structures in e.g. aircraft fuselages requires efficient calculation methods to describe the stability behavior. In this work, a closed-form model for the local buckling analysis of orthotropic composite plates braced by omega-stringers is developed. The problem can be reduced to a plate simply supported at all edges subjected to uniaxial compression with eccentrically attached stringer feet, while the stringer itself is modeled as restraint stiffnesses along the longitudinal edges. The discontinuities in the stiffnesses introduced by the stringer feet result in discontinuities in the curvature behavior and the shear distortion of the structure. In order to map this influence on the local buckling behavior, the reduced model is divided into plate segments of corresponding stiffnesses, for which Ritz-based approach functions for the deformations are defined. Finally, an explicit formulation of the buckling load is derived using the energy method. To validate the model, the Lévy solution is obtained and a finite element analysis is conducted. The results of the parameter studies demonstrate excellent agreement within the design space of the aviation application area.
期刊介绍:
The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials.
The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.