Abstract
Vibration absorption is a core research topic in structural dynamics and the mechanics of machines, and antiresonance assignment is an effective solution to such a problem in the presence of harmonic excitation forces. Due to recent developments in the theory of feedback control systems, the use of active control approaches to antiresonance assignment has been recently gaining more attention in the literature. Therefore, several methods exploiting state feedback or output feedback have been proposed in recent years. These techniques that just rely on servo-controlled actuators are becoming an interesting alternative to active approaches that emulate the well-known Tuned Mass Damper in an active (or semi-active) framework. This paper reviews and compares the most important approaches, with a greater focus on the methods exploiting the concept of control theory without adding new degrees of freedom in the system. The theoretical results, with the underlying theory, are discussed to highlight the key features of each assignment techniques. Several numerical examples where different techniques are applied and compared, also providing some analysis usually neglected in the literature, enrich the paper and demonstrate the key concepts.
Highlights
One of the first methods, and probably the most famous one, addressing vibration absorption through antiresonance assignment is the seminal work proposed by Frahm in 1911 through his patent [1], where the so-called Tuned Mass Damper (TMD) has been introduced
Thereafter, several approaches and techniques to antiresonance assignment have been developed in the literature and in practical application too
The form of the modification that can be realized physically is restrictive. Another important feature to consider is that passive techniques have no capability to adapt to changing conditions, that can be tackled just through robustness, and their effectiveness can be severely reduced. These limitations have been motivating the research on antiresonance assignment through active vibration control, where the role of the spring-mass systems is replaced by forces actively exerted by one or more actuators based on sensor measurements
Summary
The form of the modification that can be realized physically (described through symmetric, positive-definite or semi positive-definite matrices with an imposed pattern of non-zero terms) is restrictive Another important feature to consider is that passive techniques have no capability to adapt to changing conditions, that can be tackled just through robustness, and their effectiveness can be severely reduced. These limitations have been motivating the research on antiresonance assignment through active vibration control, where the role of the spring-mass systems is replaced by forces actively exerted by one or more actuators based on sensor measurements.
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