Vibration of damped uniform beams with general end conditions under moving loads

In this paper, an analytical solution for evaluating the dynamic behaviour of a non-proportionally damped Bernoulli–Euler beam under a moving load is derived. The novelty of this paper, when compar ...

[1]  A. Greco,et al.  Dynamic response of a flexural non-classically damped continuous beam under moving loadings , 2002 .

[2]  G. Failla On the dynamics of viscoelastic discontinuous beams , 2014 .

[3]  Alessandro Fasana,et al.  Frequency domain analysis of continuous systems with viscous generalized damping , 2004 .

[4]  M.-F. Liu,et al.  On the eigenvalues of a viscously damped simple beam carrying point masses and springs , 2001 .

[5]  V. Jovanovic A Fourier series solution for the transverse vibration of a clamped beam with a torsional damper at the boundary , 2012 .

[6]  A. Al-Jumaily,et al.  Vibration of continuous systems with compliant boundaries , 1977 .

[7]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[8]  Rajendra Singh,et al.  Complex eigensolutions of coupled flexural and longitudinal modes in a beam with inclined elastic supports with non-proportional damping , 2014 .

[9]  Stefano Marchesiello,et al.  A new analytical technique for vibration analysis of non-proportionally damped beams , 2003 .

[10]  Analysis of non-homogeneous Timoshenko beams with generalized damping distributions , 2007 .

[11]  D. T. Kawano The Decoupling of Linear Dynamical Systems , 2011 .

[12]  Raid Karoumi,et al.  Dynamics of thick bridge beams and its influence on fatigue life predictions , 2013 .

[13]  J. Zu,et al.  On the Dynamic Analysis of a Beam Carrying Multiple Mass-Spring-Mass-Damper System , 2014 .

[14]  M. Gurgoze,et al.  Dynamic response of a viscously damped cantilever with a viscous end condition , 2006 .

[15]  S. Krenk Complex modes and frequencies in damped structural vibrations , 2004 .

[16]  A Fourier series solution for the transverse vibration response of a beam with a viscous boundary , 2011 .

[17]  Philip D. Cha,et al.  A general approach to formulating the frequency equation for a beam carrying miscellaneous attachments , 2005 .

[18]  A. J. Hull,et al.  A Closed Form Solution of a Longitudinal Bar With a Viscous Boundary Condition , 1994 .

[19]  Barry Gibbs,et al.  The derivation of eigenvalues and mode shapes for the bending motion of a damped beam with general end conditions , 1981 .

[20]  M. Gurgoze,et al.  ON THE EIGENVALUES OF A VISCOUSLY DAMPED CANTILEVER CARRYING A TIP MASS , 1998 .

[21]  Metin Gurgoze,et al.  ON THE FREQUENCY RESPONSE FUNCTION OF A DAMPED CANTILEVER SIMPLY SUPPORTED IN-SPAN AND CARRYING A TIP MASS , 2002 .

[22]  Rajendra Singh,et al.  Eigenproblem formulation, solution and interpretation for non-proportionally damped continuous beams , 1990 .

[23]  G. Oliveto,et al.  COMPLEX MODAL ANALYSIS OF A FLEXURAL VIBRATING BEAM WITH VISCOUS END CONDITIONS , 1997 .

[24]  K. Foss COORDINATES WHICH UNCOUPLE THE EQUATIONS OF MOTION OF DAMPED LINEAR DYNAMIC SYSTEMS , 1956 .

[25]  P. Museros,et al.  INFLUENCE OF THE SECOND BENDING MODE ON THE RESPONSE OF HIGH-SPEED BRIDGES AT RESONANCE , 2005 .

[26]  Raid Karoumi,et al.  Train–bridge interaction – a review and discussion of key model parameters , 2014 .

[27]  Metin Gurgoze ON THE SENSITIVITIES OF THE EIGENVALUES OF A VISCOUSLY DAMPED CANTILEVER CARRYING A TIP MASS , 1998 .

[28]  Andrea Dall'Asta,et al.  Transverse free vibrations of continuous bridges with abutment restraint , 2012 .

[29]  Raid Karoumi,et al.  Closed-form solution for the mode superposition analysis of the vibration in multi-span beam bridges caused by concentrated moving loads , 2013 .