Active Vibration Control of a Nonlinear Beam with Self- and External Excitations
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In this article, an application of the nonlinear saturation control (NSC) algorithm for a self-excited strongly nonlinear beam structure driven by an external force is presented.Abstract:
An application of the nonlinear saturation control (NSC) algorithm for a self-excited strongly nonlinear beam structure driven by an external force is presented in the paper. The mathematical model accounts for an Euler-Bernoulli beam with non- linear curvature, reduced to first mode oscillations. It is assumed that the beam vibrates in the presence of a harmonic excitation close to the first natural frequency of the beam, and additionally the beam is self-excited by fluid flow, which is modelled by a nonlinear Rayleigh term for self-excitation. The self- and externally excited vibrations have been reduced by the application of an active, saturation-based controller. The approximate analytical solutions for a full structure have been found by the multiple time scales method, up to the first-order approximation. The analytical solutions have been compared with numerical results obtained from direct integration of the ordinary differential equations of motion. Finally, the influence of a negative damping term and the controller's parameters for effective vibrations suppression are presented.read more
Citations
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Nonlinear vibration suppression of flexible structures using nonlinear modified positive position feedback approach
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TL;DR: In this paper, a nonlinear modified positive position feedback (NMPPF) control approach for nonlinear vibration suppression at primary resonance is proposed, which consists of a resonant second-order nonlinear compensator, which is enhanced by a lossy integrating compensator.
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Nonlinear piezoelectric vibration energy harvesting from a portal frame with two-to-one internal resonance
Rodrigo Tumolin Rocha,José Manoel Balthazar,Angelo Marcelo Tusset,Vinícius Piccirillo,Jorge Luis Palacios Felix +4 more
TL;DR: In this article, the authors present the extraction of energy from a simple portal frame structure excited by a harmonic force, where the energy harvesting is computed by using of a nonlinear piezoelectric material.
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An Efficient Analytical Approach to Investigate the Dynamics of a Misaligned Multirotor System
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TL;DR: A novel analytical approach is employed, namely the optimal auxiliary functions method, which proved to be successfully used to obtain explicit analytical solutions to a system of strongly nonlinear differential equations with variable coefficients, useful in dynamic analysis of the considered multirotor system.
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An improved time-delay saturation controller for suppression of nonlinear beam vibration
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Dynamic control of kinematically excited laminated, thin-walled beam using macro fibre composite actuator
TL;DR: In this article, the problem of vibration reduction in a cantilever beam under kinematic excitation is considered, and numerical studies and laboratory tests are performed on a composite beam with an embedded macro fibre composite actuator.
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A Nonlinear Vibration Absorber for Flexible Structures
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