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Structural Engineering and Mechanics Volume 34, Number 5, March30 2010, pages 549-561 DOI: http://dx.doi.org/10.12989/sem.2010.34.5.549 |
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Free transverse vibrations of an elastically connected simply supported twin pipe system |
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Muge Balkaya, Metin O. Kaya and Ahmet Saglamer
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| Abstract | ||
| In this paper, free vibration analyses of a parallel placed twin pipe system simulated by simply supported-simply supported and fixed-fixed Euler-Bernoulli beams resting on Winkler elastic soil are presented. The motion of the system is described by a homogenous set of two partial differential equations, which is solved by a simulation method called the Differential Transform Method (DTM). Free vibrations of an elastically connected twin pipe system are realized by synchronous and asynchronous deflections. The results of the presented theoretical analyses for simply supported Euler-Bernoulli beams are compared with existing ones in open literature and very good agreement is demonstrated. | ||
| Key Words | ||
| Differential Transform Method; DTM; elastic soil; vibration; twin beam; twin pipeline. | ||
| Address | ||
| Muge Balkaya: Department of Civil Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey Ahmet Sa lamer: Department of Civil Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey Metin O. Kaya: Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey | ||