Energy harvesting using a novel autoparametric pendulum absorber-harvester

Zhang, Ao; Sorokin, Vladislav; Li, He

doi:10.1016/j.jsv.2021.116014

Cited by 29 publications

(12 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…( 40) (red coloured results), the MVA1 using Eq. (59) (blue coloured results), and numerical results obtained from Direct Integration (DI) of the equation of motion (16) (black coloured data points). Solid lines and dashed lines represent the stable and unstable solutions, respectively, obtained from MMS1 and MVA1.…”

Section: Effects Of System Parameters On the Responsementioning

confidence: 99%

“…The most common structure exploited as parametric vibration suppression is the pendulum [15]. On the other hand, the large vibrational amplitudes achieved at principal parametric resonance have been extensively exploited in sensing applications [16]. The principal parametric resonance is triggered at twice the system's natural frequency if the magnitude of the parametric excitation is large enough to overcome energy dissipation in the system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear dynamics of parametrically excited cantilever beams with a tip mass considering nonlinear inertia and Duffing-type nonlinearity

2023

Self Cite

View full text Add to dashboard Cite

The response of a parametrically excited cantilever beam (PECB) with a tip mass is investigated in this paper. The paper is mainly focused on accurate prediction of the response of the system, in particular, its hardening and softening characteristics when linear damping is considered. First, the method of varying amplitudes (MVA) and the method of multiple scales (MMS) are employed. It is shown that both Duffing nonlinearity and nonlinear inertia terms govern the hardening or softening behaviour of a PECB. MVA results show that for frequencies around the principal parametric resonance, the term containing a linear combination of nonlinear inertia and Duffing nonlinearity in the frequency response equation can tend to zero, resulting in an exponential growth of the vibrations, and results are validated by numerical results obtained from direct integration (DI) of the equation of motion, while the MMS fails to predict this critical frequency. A criterion for determining the hardening and softening characteristics of PECBs is developed and presented using the MVA. To verify the results, experimental measurements for a PECB with a tip mass are presented, showing good agreement with analytical and numerical results. Furthermore, it is demonstrated that the mass added at the cantilever tip can change the system characteristics, enhancing the softening behaviour of the PECB. It is shown that, within the frequency range considered, increasing the value of the tip mass decreases the amplitude response of the system and broadens the frequency range in which a stable response can exist.

show abstract

Section: Effects Of System Parameters On the Responsementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of parametrically excited cantilever beams with a tip mass considering nonlinear inertia and Duffing-type nonlinearity

2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the other hand, configuration (c) corresponds to an autoparametric system, where the dynamic model is represented by a system of nonlinear differential equations that cannot be linearized due to the decoupling between the degree of freedom of the primary system and the dynamics of the absorber to be implemented [22,23]. This kind of configuration is not considered in the present work due to it having been widely studied in the nonlinear-vibrations literature, addressing passive and active control aspects for different hosting structures [24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”

Section: Other Possible Configurations Of Flexible Vibration Absorbermentioning

confidence: 99%

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

et al. 2022

View full text Add to dashboard Cite

This is a theoretical, numerical, and experimental study on the vibration attenuation capability of the dynamic response of a building-like structure using a dynamic vibration absorber in cantilever flexible beam configuration, taking into account gravitational effects associated with its mass. The dynamic model of the primary vibrating structure with the passive vibration control device is obtained using the Euler–Lagrange formulation considering the flexible vibration absorber as a generalized system of one degree of freedom. The application of the Hilbert transform to the frequency response function to determine the tuning conditions between this nonlinear flexible beam vibration absorber and the primary system is also proposed. In this fashion, Hilbert transform analysis is then carried out to show that nonlinearities present in the dynamic model do not significantly contribute to the performance of the implemented absorber. Therefore, it is valid to linearize the equations of motion to obtain the tuning condition in which the flexible vibration absorber can attenuate undesirable harmonic vibrations that are disturbing to the building-like flexible structure. Thus, the present study shows that the Hilbert transform can be applied to obtain tuning conditions for other configurations of dynamic vibration absorbers in nonlinear vibrating systems. Simulation and experimental results are included to demonstrate the efficient performance of the presented vibration absorption scheme.

show abstract

“…In Ref. 32, the authors focus on a new pendulum absorber harvester configuration that permits for amended shaking suppression and EH properties. The new absorber structure refers to the use of magnets, its performance is studied theoretically and empirically, and the outcomes demonstrate that the new absorber harvester has a better performance than the traditional device regarding both vibration suppression and EH.…”

Section: Introductionmentioning

confidence: 99%

Controlling the kinematics of a spring-pendulum system using an energy harvesting device

Amer

Tian

et al. 2022

Journal of Low Frequency Noise, Vibration and Active Control

106

View full text Add to dashboard Cite

This work focuses on vibration alleviation and energy harvesting in a dynamical system of a spring-pendulum. The structure of the pendulum is modified using an independent electromagnetic harvesting system. The harvesting depends on the oscillation of a magnet in a coil. An endeavor has been made to get both the energy harvesting and mitigation of vibration efficacy of the harvester. The governing kinematics equations are derived using Lagrange’s equations and are solved asymptotically using the multiple scales method to achieve the intended outcome as new and precise results. The resonance states are classified, and the influence of various parameters of the studied system is analyzed. Fixed points at steady states are categorized into stable and unstable. The time behavior of the solutions, the modified amplitudes, and phases are examined and interpreted in the light of their graphical plots. Zones of stability and instability are concerned, in which the system’s behavior is stable for a wide range of used parameters. This model has become essential in recent times as it uses control sensors in industrial applications, buildings, infrastructure, automobiles, and transportation.

show abstract

Energy harvesting using a novel autoparametric pendulum absorber-harvester

Cited by 29 publications

References 41 publications

Nonlinear dynamics of parametrically excited cantilever beams with a tip mass considering nonlinear inertia and Duffing-type nonlinearity

Nonlinear dynamics of parametrically excited cantilever beams with a tip mass considering nonlinear inertia and Duffing-type nonlinearity

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

Controlling the kinematics of a spring-pendulum system using an energy harvesting device

Contact Info

Product

Resources

About