Abstract
The paper aims to study a plane system with bars, with certain symmetries. Such problems can be encountered frequently in industry and civil engineering. Considerations related to the economy of the design process, constructive simplicity, cost and logistics make the use of identical parts a frequent procedure. The paper aims to determine the properties of the eigenvalues and eigenmodes for transverse and torsional vibrations of a mechanical system where two of the three component bars are identical. The determination of these properties allows the calculus effort and the computation time and thus increases the accuracy of the results in such matters.
Highlights
Symmetries appearing in engineering systems can lead, in some cases, to the simplification of the dynamic analysis made for these structures
In the following we will study a mechanical system composed of 3 bars of which two are identical, situated in a plane
In many engineering applications the structural symmetry which exists in such mechanical systems can be used to facilitate the calculation of the eigenvalues and eigenvectors of these systems
Summary
Symmetries appearing in engineering systems can lead, in some cases, to the simplification of the dynamic analysis made for these structures. In which the elastic elements lead to vibrations, some properties have been observed for a long time[1] (Meirovitch) but a systematic study of the problem has not yet been made. Particular cases have been studied in Refs. In the following we will study a mechanical system composed of 3 bars of which two are identical, situated in a plane. It will study the transverse out of plane and torsional vibrations of such a system that is strongly coupled
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
