Abstract

New method for semi-active control of vibrating structures is introduced. So-called Prestress Accumulation-Release (PAR) strategy aims at releasing of the strain energy accumulated in the structure during its deformation process. The strain energy is converted into kinetic energy of higher modes of vibration which is suppressed with structural damping or by means of a damping device. The adaptation process essentially affects the first mode vibrations by introducing an elastic force that opposes the movement. Numerical simulations as well as experimental results prove that the strategy can be very effective in mitigating of the fundamental mode of a free – vibrating structure. In a numerical example 95% of the vibration amplitude was mitigated after two cycles. An experimental demonstrator shows 85% reduction of the amplitude in a cantilever free- vibrations. In much more complex practical problems smaller portion of total energy can be released from the system in each cycle, nevertheless the strategy could be applied to mitigate the vibrations of, for example, pipeline systems or pedestrian walkways.

Highlights

  • The problem of damping of vibration in engineering structures has been investigated for many years

  • It is a method to convert the strain energy of a vibrating system into kinetic energy, which is released from the system by means of the structural damping or a dissipative device

  • In the second phase kinematic constraints are reimposed, which leads to the conversion of a part of the kinetic energy into another, non-mechanical form, for example heating-up of the actuator device

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Summary

Introduction

The problem of damping of vibration in engineering structures has been investigated for many years. It is a method to convert the strain energy of a vibrating system into kinetic energy, which is released from the system by means of the structural damping or a dissipative device. The method described in this paper is a semi-active technique which means that it does not require a supply of a substantial amount of energy. A similar concept is investigated in [9], where a mass-two-spring system vibrations are suppressed due to a controlled detaching and reattaching of a spring, whereas [10] deals with the use of on-off joint connections control for energy dissipation in a flexible truss-beam structure. In the second phase kinematic constraints are reimposed, which leads to the conversion of a part of the kinetic energy into another, non-mechanical form, for example heating-up of the actuator device. The control was carried out as a closed loop feed – back system

The concept
Analytical solution
Energy balance
PAR strategy for layered beams
Numerical example – simply supported beam
Experimental set-up
Control procedure
Results
Full Text
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