The isolation characteristics of an archetypal dynamical model with stable-quasi-zero-stiffness

Hao, Zhifeng; Cao, Qingjie

doi:10.1016/j.jsv.2014.11.038

Cited by 142 publications

(54 citation statements)

References 29 publications

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“…The research by Hao and Cao (2015), Hao et al (2016) showed that nonlinear systems can present rich dynamic characteristics when the resonance occurs, like the primary resonance, superharmonic/subharmonic resonance as well as the internal resonance, etc. The multiple scale method is often utilized to understand qualitative characteristics of the system which present resonant conditions (Nayfeh and Mook, 1979).…”

Section: Analysis With the Multiple Scale Methodsmentioning

confidence: 99%

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Wang

Hao

Chen

et al. 2018

jtam

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A coupling model between turbine blades with a varying rotating speed and oncoming vortices is constructed, where the coupling of the structure and the fluid is simulated by the van der Pol oscillation. Partial differential governing equations of motions for the coupled system are obtained and discretized by using the Galerkin method. The 1:2 subharmonic resonance and the 1:1 internal resonance are investigated with the multiple scale method and first-order averaged equations are then derived. Nonlinear responses and bifurcation characteristics are studied by a numerical integration method. Stability of bifurcation curves is determined by utilizing the Routh-Hurwitz criterion. The effect of system parameters including the detuning parameter, steady-state rotating speed, amplitude of periodic perturbation for the rotating speed and freestream velocity on vibration responses are investigated.

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Section: Analysis With the Multiple Scale Methodsmentioning

confidence: 99%

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Wang

Hao

Chen

et al. 2018

jtam

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“…The nonlinear systems display rich dynamic characteristics when the resonance occurs [44,45] , such as the primary resonance, superharmonic/subharmnic resonance and the internal resonance. The multiple scale method is a good way to understand the qualitative characteristics of the system which presents the internal resonance [46][47][48] .…”

Section: The Reduced Model With Galerkin Discretizationmentioning

confidence: 99%

Bifurcation and dynamic response analysis of rotating blade excited by upstream vortices

Chen

Wang

Wiercigroch

et al. 2016

Appl. Math. Mech.-Engl. Ed.

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A reduced model simulating vortex-induced vibrations (VIVs) for turbine blades is proposed and analyzed. The rotating blade is modeled as a uniform cantilever beam while a van der Pol oscillator is used to represent the time-varying characteristics of the vortex shedding, which interacts with equations of motion for a blade to simulate the fluid-structure interaction. The action for the structural motion on the fluid is considered as a linear inertia coupling. Nonlinear characteristics for the dynamic responses are investigated with the multiple scale method and the modulation equations are derived. The transition set consisting of the bifurcation and hysteresis sets is constructed by using the singularity theory and the effects of system parameters including the van der Pol damping and the coupling parameter on the equilibrium solutions are analyzed. Frequency-response curves are obtained and the stabilities are determined by using the Routh-Hurwitz criterion. The phenomena including the saddle-node and Hopf bifurcations are found to occur under certain parameter values. A direct numerical method is used to analyze the dynamic characteristics for the original system and verify the validity of the multiple scale method. The results indicate that the new coupled model can be useful to explain the rich dynamic response characteristics including possible bifurcation phenomena in the VIVs.

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“…In order to overcome the dichotomy between load bearing capacity and reduction in stiffness, in recent years, quasi-zero stiffness (QZS) vibration isolation systems have been studied and developed by (Carrella et al, 2007(Carrella et al, , 2008(Carrella et al, and 2012, (Hao et al, 2015) and (Kovacic et al, 2008). These systems are also referred to as high-static low-dynamic stiffness (HSLD) vibration isolation systems.…”

Section: Introductionmentioning

confidence: 99%

Dynamic simulation of seat suspension system with virtual prototyping technology

Nguyen

2017

JAMDSM

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This paper will describe and simulate the dynamic response of an innovative suspension system for vehicle seat. In which, the isolated object is supported by a wedge mechanism which comprises a horizontal spring, a roller and a wedge. Besides, the dynamic stiffness of system is corrected by an auxiliary mechanism (AM) including a roller (follower) which always contacts the circular surface of the cam via another horizontal spring. Hence, this seat suspension prototype not only broad the excitation frequency region but also remains the load bearing capacity and is named by "model with AM". The dynamic stiffness-configurative parameter relationship is presented. Then, a virtual mechanical prototyping model of the system is created by using SOLIDWORKS software. Next, by applying dynamic analysis in COSMOSMotion module of the Solidworks product family, the real behaviour of system is tested and evaluated without using the traditional build-and-test method. With this way, it can increase the quality of product by reducing manufacturing cost and error. The simulation results show that the model with AM outperforms the linear counterpart. Besides, these results furnish a useful insight for the design and manufacture of the seat suspension system for vehicle.

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The isolation characteristics of an archetypal dynamical model with stable-quasi-zero-stiffness

Cited by 142 publications

References 29 publications

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Bifurcation and dynamic response analysis of rotating blade excited by upstream vortices

Dynamic simulation of seat suspension system with virtual prototyping technology

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