{"title":"Free Vibrations of Beam System Structures with Elastic Boundary Conditions and an Internal Elastic Hinge","authors":"A. R. Ratazzi, D. Bambill, C. Rossit","doi":"10.1155/2013/624658","DOIUrl":null,"url":null,"abstract":"The study of the dynamic properties of beam structures is extremely important for proper structural design. This present paper deals with the free in-plane vibrations of a system of two orthogonal beam members with an internal elastic hinge. The system is clamped at one end and is elastically connected at the other. Vibrations are analyzed for different boundary conditions at the elastically connected end, including classical conditions such as clamped, simply supported, and free. The beam system is assumed to behave according to the Bernoulli-Euler theory. The governing equations of motion of the structural system in free bending vibration are derived using Hamilton's principle. The exact expression for natural frequencies is obtained using the calculus of variations technique and the method of separation of variables. In the frequency analysis, special attention is paid to the influence of the flexibility and location of the elastic hinge. Results are very similar with those obtained using the finite element method, with values of particular cases of the model available in the literature, and with measurements in an experimental device.","PeriodicalId":31263,"journal":{"name":"工程设计学报","volume":"30 1","pages":"1-10"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"工程设计学报","FirstCategoryId":"1087","ListUrlMain":"https://doi.org/10.1155/2013/624658","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 6
Abstract
The study of the dynamic properties of beam structures is extremely important for proper structural design. This present paper deals with the free in-plane vibrations of a system of two orthogonal beam members with an internal elastic hinge. The system is clamped at one end and is elastically connected at the other. Vibrations are analyzed for different boundary conditions at the elastically connected end, including classical conditions such as clamped, simply supported, and free. The beam system is assumed to behave according to the Bernoulli-Euler theory. The governing equations of motion of the structural system in free bending vibration are derived using Hamilton's principle. The exact expression for natural frequencies is obtained using the calculus of variations technique and the method of separation of variables. In the frequency analysis, special attention is paid to the influence of the flexibility and location of the elastic hinge. Results are very similar with those obtained using the finite element method, with values of particular cases of the model available in the literature, and with measurements in an experimental device.
期刊介绍：
Chinese Journal of Engineering Design is a reputable journal published by Zhejiang University Press Co., Ltd. It was founded in December, 1994 as the first internationally cooperative journal in the area of engineering design research. Administrated by the Ministry of Education of China, it is sponsored by both Zhejiang University and Chinese Society of Mechanical Engineering. Zhejiang University Press Co., Ltd. is fully responsible for its bimonthly domestic and oversea publication. Its page is in A4 size. This journal is devoted to reporting most up-to-date achievements of engineering design researches and therefore, to promote the communications of academic researches and their applications to industry. Achievments of great creativity and practicablity are extraordinarily desirable. Aiming at supplying designers, developers and researchers of diversified technical artifacts with valuable references, its content covers all aspects of design theory and methodology, as well as its enabling environment, for instance, creative design, concurrent design, conceptual design, intelligent design, web-based design, reverse engineering design, industrial design, design optimization, tribology, design by biological analogy, virtual reality in design, structural analysis and design, design knowledge representation, design knowledge management, design decision-making systems, etc.
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