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Smart Structures and Systems Volume 21, Number 3, March 2018 , pages 349-358 DOI: https://doi.org/10.12989/sss.2018.21.3.349 |
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Vibration suppression of a double-beam system by a two-degree-of-freedom mass-spring system |
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Mohammad Rezaiee-Pajand, Ahmad Aftabi Sani and Seyed Mojtaba Hozhabrossadati
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| Abstract | ||
| This paper investigates the free vibration analysis of double-beam system coupled by a two-degree-of-freedom mass-spring system. In order to generalize the model, the main beams are assumed to be elastically restrained against translation and rotation at one end and free at the other. Furthermore, the mass-spring system is elastically connected to the beams at adjustable positions by means of four translational and rotational springs. The governing differential equations of the beams and the mass-spring system are derived and analytically solved by using the Fourier transform method. Moreover, as a second way, a finite element solution is derived. The frequency parameters and mode shapes of some diverse cases are obtained using both methods. Comparison of obtained results by two methods shows the accuracy of both solutions. The influence of system parameters on the free vibration response of the studied mechanical system is examined. | ||
| Key Words | ||
| double-beam; two-degree-of-freedom mass-spring system; vibration suppression; elastic supports; Fourier transform; free vibration; exact solution; finite element method | ||
| Address | ||
| Mohammad Rezaiee-Pajand, Ahmad Aftabi Sani and Seyed Mojtaba Hozhabrossadati: Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran | ||