Free Vibration Analysis of the Axial-Loaded Timoshenko Multiple-Step Beam Carrying Multiple Elastic-Supported Rigid Bars

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YEŞİLCE Y.

PAMUKKALE UNIVERSITY JOURNAL OF ENGINEERING SCIENCES-PAMUKKALE UNIVERSITESI MUHENDISLIK BILIMLERI DERGISI, cilt.18, sa.3, ss.183-197, 2012 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 18 Sayı: 3
• Basım Tarihi: 2012
• Doi Numarası: 10.5505/pajes.2012.04696
• Dergi Adı: PAMUKKALE UNIVERSITY JOURNAL OF ENGINEERING SCIENCES-PAMUKKALE UNIVERSITESI MUHENDISLIK BILIMLERI DERGISI
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.183-197
• Anahtar Kelimeler: Axial force effect, Free vibration, Multiple elastic-supported rigid bars, Numerical assembly technique, Timoshenko multiple-step beam
• Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, the natural frequencies of the axial-loaded Timoshenko multiple-step beam carrying multiple elastic-supported rigid bars are calculated. At first the coefficient matrices for the elastic-supported rigid bars. the step change in cross-section, left-end support and right-end support of the multiple-step beam are derived. Next, the numerical assembly technique is used to establish the overall coefficient matrix for the whole vibrating system. Finally, equating the overall coefficient matrix to zero one determines the natural frequencies of the system. The natural frequencies of the beams by using secant method for the different values of axial force arc presented in tables.