State switching in regions of high modal density

Garrett K. Lopp; Jeffrey L. Kauffman

doi:10.1117/12.2217923

15 April 2016 State switching in regions of high modal density

Proceedings Volume 9799, Active and Passive Smart Structures and Integrated Systems 2016; 97991X (2016) https://doi.org/10.1117/12.2217923
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2016, Las Vegas, Nevada, United States

Abstract

Performance of piezoelectric-based, semi-active vibration reduction approaches has been studied extensively in the past decade. Originally analyzed with single-degree-of-freedom systems, these approaches have been extended to multi-mode vibration reduction. However, the accompanying analysis typically assumes well-separated modes, which is often not the case for plate structures. Because the semi-active approaches induce a shift in the structural resonance frequency (at least temporarily), targeting a speciﬁc mode for vibration reduction can actually lead to additional vibration in an adjacent mode. This paper presents an analysis using a simpliﬁed model of a two-degree-of-freedom mass-spring-damper system with lightly-coupled masses to achieve two closely-spaced modes. This investigation is especially applicable to the resonance frequency detuning approach previously proposed to reduce vibrations caused by transient excitation in turbomachinery blades where regions of high modal density exist. More generally, this paper addresses these eﬀects of stiﬀness state switches in frequency ranges containing regions of high modal density and subject to frequency sweep excitation. Of the approaches analyzed, synchronized switch damping on an inductor oﬀers the greatest vibration reduction performance, whereas resonance frequency detuning and state switching each yield similar performance. Additionally, as the relative distance between resonance peaks decreases, the performance for the vibration reduction methods approaches that of a single-degree-of-freedom system; however, there are distances between these resonant peaks that diminish vibration reduction potential.

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Garrett K. Lopp and Jeffrey L. Kauffman "State switching in regions of high modal density", Proc. SPIE 9799, Active and Passive Smart Structures and Integrated Systems 2016, 97991X (15 April 2016); https://doi.org/10.1117/12.2217923

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KEYWORDS

Control systems

Motion models

Systems modeling

Motion analysis

Analytical research

Circuit switching

Aerospace engineering

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