Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4980
Title: Exact longitudinal vibration characteristics of rods with variable cross-sections
Authors: Yardımoğlu, Bülent
Aydın, Levent
Keywords: Exact solution
Longitudinal vibration
Variable cross-section
Equations of motion
Issue Date: 2011
Publisher: Hindawi Publishing Corporation
Source: Yardımoğlu, B., and Aydın, L.(2011). Exact longitudinal vibration characteristics of rods with variable cross-sections. Shock and Vibration, 18(4), 555-562. doi:10.3233/SAV-2010-0561
Abstract: Longitudinal natural vibration frequencies of rods (or bars) with variable cross-sections are obtained from the exact solutions of differential equation of motion based on transformation method. For the rods having cross-section variations as power of the sinusoidal functions of ax+b, the differential equation is reduced to associated Legendre equation by using the appropriate transformations. Frequency equations of rods with certain cross-section area variations are found from the general solution of this equation for different boundary conditions. The present solutions are benchmarked by the solutions available in the literature for the special case of present cross-sectional variations. Moreover, the effects of cross-sectional area variations of rods on natural characteristics are studied with numerical examples.
URI: http://doi.org/10.3233/SAV-2010-0561
http://hdl.handle.net/11147/4980
ISSN: 1070-9622
1875-9203
Appears in Collections:Mechanical Engineering / Makina Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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