Akademik Veri Yönetim Sistemi
Structural Engineering and Mechanics, cilt.27, sa.2, ss.259-262, 2007 (SCI-Expanded, Scopus)
Natural frequencies of a bending-torsion coupled beam supported by in-span linear springs are analyzed. Two different approaches, the dynamic transfer matrix method (DTMM) and the Rayleigh-Ritz method (RRM), are carried out to obtain natural frequencies of the system and to compare the methods used with each other. The first five modes are considered in RRM, the results of the method agree well with the ones from DTMM. The relative error between the fifth natural frequencies from the two methods is noticeable in comparison to the other natural frequencies, which arises from the numerical errors related to ill-conditioned matrix inversion in DTMM procedure. The agreement of the two methods is excellent, which implies RRM can be confidently used by employing the first five natural modes of vibration. RRM can alternatively be employed to obtain the accurate natural frequencies of coupled flexural-torsional beams with multiple intermediate elastic constraints.