Nonlinear Vibrations of a Flexible L-shaped Beam Using Differential Quadrature Method

Samandari, Hamed; Ciğeroğlu, Ender

doi:10.1007/978-3-319-15221-9_12

Cited by 3 publications

(1 citation statement)

References 20 publications

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“…By adjusting the geometrical parameters of the harvester, the first two natural frequencies could be relatively close to achieve the broadband frequency range. Similarly, there are also researches on L-shaped harvesters used for nonlinear vibration energy harvesting (Chen et al, 2016; Liu et al, 2017; Nie et al 2019; Samandari and Cigeroglu, 2016; Wei et al, 2018; Yao et al, 2018). Similarly, Wang et al (2016) also studied the L-shaped harvester which performed high-efficiency energy harvesting under multi-source broadband excitations.…”

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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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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Flow-induced vibration of inherently nonlinear structures with applications in energy harvesting

2020

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This paper proposes a novel design for a flow-induced vibration-based energy harvester, consisting of an elastic L-shaped beam, with an inherent nonlinearity in its structural stiffness as an alternative to the classical cantilever beam used in conventional fluidic energy harvester designs. The L-shaped beam supports a prism at its tip and undergoes large-amplitude galloping oscillations. The results from wind tunnel experiments show that by replacing a conventional linear structure that supports the prism with a nonlinear one, the high frequency flow components, shed from the tip prism, were capable of exciting the oscillations of the structure at higher harmonics of the main resonance, thus enhancing the power density of the energy harvester. As a result of improved power density values, the proposed harvester design holds great potential to be used as advanced space-efficient energy harvesters.

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Investigations on Nonlinear Dynamic Modeling and Vibration Responses of T-Shaped Beam Structures

et al. 2022

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A novel nonlinear dynamic modeling approach is proposed for the T-shaped beam structures widely used in the field of aerospace. All of the geometrical nonlinearities including the terms in the deformation of the beams, the terms at the connections, and the free ends of beams are considered in the dynamic modeling process. The global mode method is employed to determine the natural frequencies and global mode shapes of the linearized system. The validity and accuracy of the derived model are verified by comparing the natural frequencies obtained with those calculated from FEM. Adopting the Galerkin truncation procedure, a set of reduced-order nonlinear ODEs is obtained for the structure. A study on the variation of dynamic responses taking the different numbers of global modes into account is performed to determine the number of modes taken in nonlinear vibration analysis. A comparison between the responses of the system with linear or nonlinear matching and boundary conditions is given to evaluate the importance of neglecting and reserving the nonlinear terms in matching and boundary conditions. It is shown that ignoring the nonlinear terms in both matching and boundary conditions may significantly alter the responses while developing the discretized governing ODEs of the structure.

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Nonlinear Vibrations of a Flexible L-shaped Beam Using Differential Quadrature Method

Cited by 3 publications

References 20 publications

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

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

Flow-induced vibration of inherently nonlinear structures with applications in energy harvesting

Investigations on Nonlinear Dynamic Modeling and Vibration Responses of T-Shaped Beam Structures

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