Complex response of an oscillating vertical cantilever with clearance

Łygas, Krystian; Wolszczak, Piotr; Litak, Grzegorz; Stączek, P.

doi:10.1007/s11012-019-01033-z

Cited by 8 publications

(5 citation statements)

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“…Non-ideal relays are chosen as nonlinear terms in the environmental population equations. A review [265] gives insight into the application of hysteresis models not only in biological, but also in macroeconomic, hydrological and some other problems (see also [218,[266][267][268][269]).…”

Section: Biology Medicine and Social Sciencesmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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The Preisach model is a well-known model of hysteresis in the modern nonlinear science. This paper provides an overview of works that are focusing on the study of dynamical systems from various areas (physics, economics, biology), where the Preisach model plays a key role in the formalization of hysteresis dependencies. Here we describe the input-output relations of the classical Preisach operator, its basic properties, methods of constructing the output using the demagnetization function formalism, a generalization of the classical Preisach operator for the case of vector input-output relations. Various generalizations of the model are described here in relation to systems containing ferromagnetic and ferroelectric materials. The main attention we pay to experimental works, where the Preisach model has been used for analytic description of the experimentally observed results. Also, we describe a wide range of the technical applications of the Preisach model in such fields as energy storage devices, systems under piezoelectric effect, models of systems with long-term memory. The properties of the Preisach operator in terms of reaction to stochastic external impacts are described and a generalization of the model for the case of the stochastic threshold numbers of its elementary components is given.

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Section: Biology Medicine and Social Sciencesmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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“…In practice, the presence of clearance between mechanical components is inevitable and necessary for the correct assembly and mobility of the system. Unfortunately, it is well known that even small looseness in the joints of mechanical components generate impact forces that significantly increase dynamic stress [18], reduce the precision of movements [19], and can lead to chaotic behavior [20]. Despite the interest in developing alternative energy sources for portable devices, few studies have considered gaps in energy harvesting systems [21].…”

Section: Introductionmentioning

confidence: 99%

Investigation Into the Effect of Joint Clearance on the Dynamics of a Biomechanical Energy Harvesting System

Arias

Iwaniec

2023

IEEE Access

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The existing clearance in the mechanical joints plays a crucial role in the assembly of mechanical systems, allowing the mobility of its components. However, few studies have explored models that consider joint clearance in the case of electromechanical energy harvesting systems. This paper examines the effect of existing clearance in an electromagnetic energy harvester attached to the human lower limb. The dynamic response of the system and an estimate of its generated power are obtained by developing a lumped model, in which clearance is included by adding a dead band and assigning a stiffness coefficient during contact between elements. The natural motion of the lower limb is the input to the formulated model, which takes into account the nonlinear interaction of the electromagnetic device and the power conditioning circuit. Central composite design is used to study the influence of two selected factors on the dynamics of the system; joint clearance size and contact stiffness. The results suggest that the presence of clearance between the clamping mechanism and the human body positively affects the performance of the analyzed electromagnetic energy harvesting system. It was revealed that an increase of around 27% of output power could be intentionally achieved by adding larger clearance sizes.

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“…For vibration energy harvesting, most of the existing researches focus on increasing the output voltage and broadening the operational frequency range (Fang et al, 2020; Talib et al, 2019). Among them, optimizing the external circuit (Huang et al, 2019), using of the structural stability (Łygas et al, 2019) and nonlinearity (Litak et al, 2010; Wang and Inman, 2013; Yang et al, 2013; Zhao et al, 2013), and other methods were explored to improve energy harvesting performance. Particularly, different types of energy harvesters with broadband dynamic characteristics were designed and tested (Azadeh-Ranjbar et al, 2020; Kim, 2020; Machů et al, 2020; Wang et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Design, modeling, and experiment of a multi-bifurcated cantilever piezoelectric energy harvester

Yang

Chen

et al. 2021

Journal of Intelligent Material Systems and Structures

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A multi-bifurcated cantilever piezoelectric energy harvester (BCPEH) is designed and verified to achieve a wide and adjustable response frequency band. The theoretical model is derived based on the Euler-Bernoulli beam theory and continuity boundary conditions to investigate the dynamic response of the BCPEH. The displacement frequency response function and the voltage frequency response function of the BCPEH are deduced based on the Galerkin method, and the theoretical results of a typical multi-bifurcated cantilever piezoelectric energy harvester, the Y-shaped BCPEH, are verified by the finite element method (FEM) and experiments. In addition, by comparing experimental output power of the Y-shaped BCPEH with that of the traditional cantilever-based piezoelectric energy harvester with the same mass of the bifurcated part at the beam-tip, it demonstrates that the Y-shaped BCPEH has a wider operational frequency band. Moreover, it is found that the Y-shaped BCPEH can be designed with an asymmetric configuration to adjust its response frequency distribution. The number of resonant frequencies and the output power of the asymmetric Y-shaped BCPEH are higher than that of the symmetric Y-shaped BCPEH. And the Y-shaped BCPEH has even better performance than L-shaped BCPEH. This study provides a new design concept for enhanced energy harvester.

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Complex response of an oscillating vertical cantilever with clearance

Cited by 8 publications

References 50 publications

The Preisach model of hysteresis: fundamentals and applications

The Preisach model of hysteresis: fundamentals and applications

Investigation Into the Effect of Joint Clearance on the Dynamics of a Biomechanical Energy Harvesting System

Design, modeling, and experiment of a multi-bifurcated cantilever piezoelectric energy harvester

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