Experimental study on dynamic characteristics of linear parametrically excited system

Han, Qinkai; Wang, Jianjun; Li, Qihan

doi:10.1016/j.ymssp.2010.11.019

Cited by 7 publications

(2 citation statements)

References 16 publications

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“…Parametrically excited cantilever beams (PECBs) have been studied extensively in various applications to investigate the dynamic behaviour of parametrically excited systems [17][18][19][20][21][22][23]. Two different aspects of these systems have been of interest to researchers: avoiding or controlling the unwanted effects due to parametric excitation and exploiting parametric excitation, particularly parametric resonance, in these systems to increase their performance.…”

Section: Introductionmentioning

confidence: 99%

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

2023

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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.

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Section: Introductionmentioning

confidence: 99%

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

2023

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“…A PE cantilever beam with an electromagnetic device was introduced by Chen and Yeh [17,18]. A further study on a Linear Parametrically Excited (LPE) cantilever beam with an electromagnetic system was carried out by Han et al [19]. In this system, the amplitude and frequency of the time-varying stiffness were accurately controlled by the current flowing through the coil of the electromagnetic device.…”

Section: Introductionmentioning

confidence: 99%

Improved Modelling of a Nonlinear Parametrically Excited System with Electromagnetic Excitation

2018

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In this work, the nonlinear behaviour of a parametrically excited system with electromagnetic excitation is accurately modelled, predicted and experimentally investigated. The equations of motion include both the electromechanical coupling factor and the electromechanical damping. Unlike previous studies where only linear time-varying stiffness due to electromagnetic forces was presented, in this paper the effect of the induced current is studied. As a consequence, nonlinear parameters such as electromechanical damping, cubic stiffness and cubic parametric stiffness have been included in the model. These parameters are also observed experimentally by controlling the direct current (DC) and alternating current (AC) passed through the electromagnets. In fact, the proposed apparatus allows to control both linear and nonlinear stiffnesses and the independent effect of each parameter on the response is presented. In particular the effect of the cubic parametric stiffness on the parametric resonance amplitudes and the influence of cubic stiffness on the frequency bandwidth of the parametric resonance are shown. This model improves the prediction of parametric resonance, frequency bandwidth, and the response amplitude of parametrically excited systems and it may lead to refined design of electromagnetic actuators, filters, amplifiers, vibration energy harvesters, and magnetic bearings.

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Modal characteristics of turbine blade packets under lacing wire damage induced mistuning

Chatterjee

Kotambkar

2015

Journal of Sound and Vibration

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Experimental study on dynamic characteristics of linear parametrically excited system

Cited by 7 publications

References 16 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

Improved Modelling of a Nonlinear Parametrically Excited System with Electromagnetic Excitation

Modal characteristics of turbine blade packets under lacing wire damage induced mistuning

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