Vibration absorbers for simply supported beams subjected to constant moving loads

Abstract

Vibration suppression in simply supported beams traversed by constant moving loads is explored using linear vibration absorbers. Assuming the Euler-Bernoulli beam theory, the beam is modeled using its first ten modes. The problem is formulated in terms of dimensionless parameters to render the results generic which are obtained for a range of the beam modal damping ratios and the system mass ratio. The objective is to minimize the maximum beam displacement for all load speeds. It is shown that the optimal absorber is an undamped absorber which should be attached at a fixed location irrespective of the modal damping or mass ratios. The optimal stiffness ratio is calculated numerically and a convenient analytical expression is obtained by curve fitting the numerical results to a second-order polynomial. The maximum error between the analytical model and the numerical solution is found to be negligible. The results are validated through comparison with a numerical example which was considered in the literature.

Optimisation of absorber parameters in the case of stochastic vibrations in a bridge with a deck platform for servicing pipelines

“…Most works assume that the load process is deterministic and that it changes harmonically. The problem of the optimisation of absorbers connected with a bridge beam loaded by a moving force was considered in papers [29][30]. The vibrations of some structures are excited by a load of random nature.…”

Nonlinear model predictive acceleration synchronization technique for rigid-model-based tracking control of multi-DOF flexible systems

“…In case the use of flexible systems is directed by governing logic that is not specifically designed considering extraneous dynamical effects, negative characteristics such as undesired vibrational effects and generation of additional noise render their application questionable in the first place as they are in opposition with the benefits of the use of non-rigid systems. [1][2][3][4][5] Continuum mechanisms can be cited as a class of flexible systems in which a core mechanism is used alongside with additional appendages. While control of continuum mechanism systems considering extra appendage DOFs is potentially possible by installation of additional sensors and actuators on appendage, this often results in significant increase in control cost.…”

Vibration reduction of vehicle-bridge-coupled system using smooth-and-discontinuous absorber

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