Abstract
This paper is about the nonlinear analysis of a piezoelectric controlled Ziegler column. The piezoelectric controller, here referred to as Tuned Piezoelectric Damper (TPD), possesses evanescent characteristics and, moreover, it is tuned to the first natural frequency of the mechanical system, thus resembling the well-known Tuned Mass Damper. This means that the flow of energy between mechanical and electrical subsystems is driven by the resonance (Den Hartog principle) and magnified by the singularity of the evanescent electrical characteristics. Numerical simulations, showing how the proposed control strategy is effective in increasing the linear stability domain and decreasing the amplitude of the limit-cycles in the postcritical range, are presented.
Highlights
Structures subjected to follower forces exhibit rich and interesting dynamic features
Examples of active controllers can be found in [2, 3]. This is why our choice is to focus our attention on passive controllers of the type firstly introduced in [3]. As they are usually implemented by tuning the resonance(s) of the electric circuit to one natural frequency(ies) of the mechanical system, they can represent a valid alternative to the classic Tuned Mass Dampers (TMDs) [4,5,6,7,8]
The objective of this paper is to study the behavior of the nonlinear Ziegler column equipped with another one of the three controllers introduced in [10], which is called the SRC (Singular Resonant Controller), which resembles the working mechanism of the TMD, since it is resonant and possesses evanescent electric properties
Summary
Structures subjected to follower forces exhibit rich and interesting dynamic features. Developing a unified control strategy optimized for damping vibrations in the linear and postcritical regimes, and at the same time increasing the stability zone, is a challenging task Since their first introduction in the early 1990s, piezoelectric based controllers have attracted the interest of researchers and their industrial applications have increased over the past years. This is why our choice is to focus our attention on passive controllers of the type firstly introduced in [3] As they are usually implemented by tuning the resonance(s) of the electric circuit to one (or more) natural frequency(ies) of the mechanical system, they can represent a valid alternative to the classic Tuned Mass Dampers (TMDs) [4,5,6,7,8]. Piezoelectric controllers can be used in microdevices [9]
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