dynamic vibration absorber in beam subjected to moving load

Performances of dynamic vibration absorbers for beams subjected to moving loads Farhad S. Samani, Francesco Pellicano &
Asma Masoumi

Nonlinear Dynamics
An International Journal of Nonlinear
Dynamics and Chaos in Engineering
Systems
ISSN 0924-090X
Nonlinear Dyn
DOI 10.1007/s11071-013-0853-4

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Author 's personal copy
Nonlinear Dyn
DOI 10.1007/s11071-013-0853-4

O R I G I N A L PA P E R

Performances of dynamic vibration absorbers for beams subjected to moving loads
Farhad S. Samani · Francesco Pellicano ·
Asma Masoumi

Received: 30 March 2012 / Accepted: 6 March 2013
© Springer Science+Business Media Dordrecht 2013

Abstract The goal of this work is a general assessment regarding the performances of linear and nonlinear dynamic vibration absorbers (DVAs) applied to the specific problem of moving loads or vehicles. The problem consists of a simply supported linear Euler–
Bernoulli beam excited with a moving load/vehicle; a DVA is connected to the beam in order to reduce the vibrations. The moving vehicle is modeled by a single degree of freedom mass spring system. The partial differential equations governing the beam dynamics is reduced to a set of ordinary differential equations by means of the Bubnov–Galerkin method. A parametric analysis is carried out to find the optimal parameters of the DVA that minimize the maximum vibration amplitude of the beam. For the

References: nonlinear dynamic absorbers. J. Sound Vib. 331, 2272– 2290 (2012) 3. Den Hartog, J.P.: Mechanical Vibrations. McGraw-Hill, New York (1985) 5. Timoshenko, S., Young, D.H., Weaver, W.: Vibration Problems in Engineering, 4th edn. Wiley, New York (1974) 6 (2006) 7 bridges under moving loads. Comput. Struct. 66, 473–480 (1998) J. Solids Struct. 40, 465–491 (2003) 9 Des. 40, 341–359 (2004) 10 random response of bridges. Comput. Struct. 43, 745–750 (1992) ASME Special Publication on Active and Passive Control of Mechanical Vibrations 289, 11–18 (1994) strong nonlinear attachment. Nonlinear Dyn. 50, 793–808 (2007) Nonlinear Dyn. 51, 31–46 (2008) 15 Nonlinear Dyn. 51, 47–57 (2008) 16 19. Malatkar, P., Nayfeh, A.H.: Steady-state dynamics of a linear structure weakly coupled to an essentially nonlinear oscillator. Nonlinear Dyn. 47, 167–179 (2006) 20 (2008) 21 dynamics of a linear structure weakly coupled to an essentially nonlinear oscillator. Nonlinear Dyn. 53, 169–171 (2008) Nonlinear Sci. Numer. Simul. 12, 643–651 (2005)