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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
 


Free transverse vibrations of an elastically connected simply supported twin pipe system
Muge Balkaya, Metin O. Kaya and Ahmet Saglamer

 
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
 

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