Transverse forced nonlinear vibration analysis of a double-beam system with a supporting nonlinearity

Zhao, Yuhao; Hu, Xingyu; Du, Jingtao; Liu, Yang; He, Feifan

doi:10.1177/10775463221144359

Cited by 4 publications

(2 citation statements)

References 41 publications

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“…Zhao and Du [36] employed a nonlinear spring-mass that presents cubic stiffness into both the boundaries and internal of an axially loaded beam and studied its nonlinear vibration responses. Zhao et al [37] introduced a supporting nonlinearity into a double-beam system and studied the potential application of supporting nonlinearities on the coupling beam system. For beams coupled by nonlinearities, Stojanović et al [38] established a vibration model of a coupled beam-arch bridge with nonlinear coupling layers and deeply studied its nonlinear vibration responses.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear responses study of two beams coupled by multiple nonlinear elements considered cubic stiffness

Liu,

zhou,

Sheng

et al. 2024

Preprint

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Since the inception of nonlinear vibration theory, the majority of research has focused on elastic beams connected to a variety of nonlinear factors. Notwithstanding this, coupling beam systems with nonlinear coupling elements have been the subject of few investigations. In light of the fact that numerous coupling beam systems are typically connected via multiple couplers, this study develops a vibration model for two beams coupled by multiple nonlinear elements exhibiting cubic stiffness. The Lagrange method is utilized to compute the magnitude responses of the beam system. Once the accuracy and consistency of the magnitude responses associated with the beam system have been confirmed, a thorough investigation is conducted into the impact of nonlinear elements on the magnitude responses of two beams joined by multiple nonlinear elements exhibiting cubic stiffness. Nonlinear responses, such as peak jumping, intricate responses, and shifting resonance regions, are determined to be the result of nonlinear elements, according to simulation results. Modulating the parameters of nonlinear elements in a rational manner facilitates the regulation of vibrations across multiple resonance regions of the beam system. Parameter changes of nonlinear elements have a substantial impact on both the vibration states and peak values of magnitude responses for single-frequency vibration excitation in resonance regions. The incorporation of nonlinear components into the coupling beam system enables the regulation of both frequency and single-frequency responses. In the case of low damping, nonlinear vibration control for a system consisting of two beams through the use of multiple nonlinear elements with cubic stiffness is more effective.

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Section: Introductionmentioning

confidence: 99%

Nonlinear responses study of two beams coupled by multiple nonlinear elements considered cubic stiffness

Liu,

zhou,

Sheng

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…The double-beam structure, usually connected by translational and rotational springs, is a commonly used composite structure in various engineering fields (Liu and Yang, 2019; Zhao et al, 2022). Compared with the single beam, the system composed of two or multiple beam elements can be more functional and applicable due to its intrinsic advantages, such as richer vibration modes, higher strength-to-weight ratio, and so on (Li et al, 2023; Rezaiee-Pajand and Hozhabrossadati, 2014; Zhou et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

Sheng

Ding

2023

Journal of Vibration and Control

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In this paper, we present a study of vibration characteristics of the double-beam structures combined with the concept of the acoustic black hole (ABH), which is an effective technique for vibration and noise control. In the proposed double-beam structure, the ABH beam as the vibration damper is attached to the primary uniform beam by a range of translational and rotational springs. We formulate the closed-form spectral element matrix of the double-beam structure and calculate the natural frequencies and mode shapes of the system. The results demonstrate the ABH effect of increasing the modal damping ratios. We also study the power flow and mechanical intensity of the system to offer physical insight into the vibration suppression mechanism of the ABH. A detailed parametric analysis of both translational and rotational springs is carried out. The investigation contributes to the exact dynamic modelling and analysis of the double-beam system containing ABH elements. Furthermore, the proposed ABH double-beam structure shows great potential for vibration control and energy harvesting.

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The influence of coupling nonlinearities on the dynamic behavior of a beam-plate system

Zhao,

Cui

2024

Communications in Nonlinear Science and Numerical Simulation

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Transverse forced nonlinear vibration analysis of a double-beam system with a supporting nonlinearity

Cited by 4 publications

References 41 publications

Nonlinear responses study of two beams coupled by multiple nonlinear elements considered cubic stiffness

Nonlinear responses study of two beams coupled by multiple nonlinear elements considered cubic stiffness

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

The influence of coupling nonlinearities on the dynamic behavior of a beam-plate system

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