Robust project of resonant shunt circuit for passive vibration control of composite structures
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(2020) 42:342
TECHNICAL PAPER
Robust project of resonant shunt circuit for passive vibration control of composite structures L. P. Ribeiro1 · A. M. G. de Lima1 · V. A. C. Silva1 Received: 31 October 2019 / Accepted: 7 May 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract Composite structures have been widely used in petroleum, aerospace and automotive industries for which structural components must be designed to support high levels of mechanical disturbances with typically high reliability levels. Moreover, the increasing high-speed and lightweight composite structures subjected to vibrations, and the interest in achieving vibration attenuation becomes capital importance as extensive vibrations can reduce structural life and contribute to mechanical failure. In this sense, smart materials can be used as an excellent alternative, being able to stabilize these structures. Thus, the use of shunted piezoceramics has received major attention in the last decades. The contribution intended herein is the proposition of a robust passive vibration control tool by using resonant shunt circuits. The stochastic finite element method is used, and the uncertain variables are modeled as Gaussian random fields and discretized in accordance with the Karhunen–Loève expansion method. Numerical applications are presented, and the main features and capabilities of the proposed method are highlighted. Keywords Stochastic modeling · Composite materials · Passive vibration control · Piezoelectric shunt circuits · Uncertainty propagation
1 Introduction In recent years, composite materials have been increasingly used in the field of engineering. This fact occurs mainly because of the better mechanical properties that can be achieved when designing a composite material. As an example, the much higher resistance-to-weight ratio of these materials compared to traditional materials, such as steel and aluminum, can be mentioned [1, 2]. The concept of intelligent or adaptive structures is also used in this work. These structures are capable of capturing changes in the environment around them and performing some type of action or adapting to this new condition, always trying to maintain their predetermined performance. Within this aim, the piezoelectric materials stand out among Technical Editor: José Roberto de França Arruda. * L. P. Ribeiro [email protected] 1
School of Mechanical Engineering, Federal University of Uberlândia, Campus Santa Mônica, P.O. Box 593, Uberlândia, MG 38400‑902, Brazil
smart materials. They can be effectively used both as sensors and actuators [3, 4]. Composite structures are often exposed to dynamic loads. Therefore, there is interest in achieving vibration attenuation in such structures as vibrations can reduce structural life and contribute to mechanical failure. In terms of vibration control, the piezoelectric materials have been extensively used in research and experiments as acting components [5, 6]. When piezoelectric systems are used in active vibration control,
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