Impact vibration characteristics of a shrouded blade with asymmetric gaps under wake flow excitations

Chu, Shiming; Cao, Dengqing; Sun, Shupeng; Pan, Jingwen; Wang, Ligang

doi:10.1007/s11071-012-0732-4

Cited by 38 publications

(19 citation statements)

References 23 publications

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“…Looking beyond energy harvesting, there are few reports that study three-degree-of-freedom vibro-impact systems where any two adjacent masses can come into impact. In the study of the impact among rotating shrouded blades [49][50][51], each blade is usually simplified as a cantilever beam with a tip mass (the shroud). Its impact with the adjacent shrouds is modelled using the impact between the tip mass and the two-sided weightless rigid bodies that are supported by springs.…”

Section: Vibro-impact Systems In Energy Harvestingmentioning

confidence: 99%

Nonlinear dynamics and triboelectric energy harvesting from a three-degree-of-freedom vibro-impact oscillator

Ouyang

Davis

2018

Nonlinear Dyn

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A triboelectric energy harvester based on a three-degree-of-freedom vibro-impact oscillator is presented. Both the dynamic model of the oscillator and the theoretical model of the oscillator-based triboelectric energy harvester are established. The dynamic response and its effect on the electrical output are considered for various mass ratios and mass spacings. The study leads to the conclusions that the symmetric mass configurations of the oscillator are more beneficial to energy harvesting than the asymmetric cases. The extent of the initial spacing between the masses influences the dynamics of the system and the electrical output by triggering grazing bifurcation. High-order periodicity is found to accompany a reduction in the electrical power. An increase in mass ratio tends to increase the electrical output, and there may exist an optimal mass ratio at which the electrical output is maximized. Chatter and sticking motion can improve the output performance dramatically, while resonance, as usual, corresponds to large amplitude response, but these large amplitudes are not optimal for triboelectric energy harvesting, and thus the maximal output does not appear around resonance. This is different from other types of vibration-based energy harvesters, such as piezoelectric and magneto-

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Section: Vibro-impact Systems In Energy Harvestingmentioning

confidence: 99%

Nonlinear dynamics and triboelectric energy harvesting from a three-degree-of-freedom vibro-impact oscillator

Ouyang

Davis

2018

Nonlinear Dyn

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“…(17), we can obtain that the associated parameters of the dynamic model for the transverse vibration of the FCRM system are mainly determined by the mode shapes of the flexible manipulator. Thus, the mode shapes under the influence of terminal load should be analyzed firstly (Chu et al, 2013). Euler-Bernoulli beam, whose standard form of mode shapes can be represented as:…”

Section: Mode Shapes Analysis For the Fcrm Systemmentioning

confidence: 99%

“…The trajectory planning of the base was applied for the vibration control of a ?exible Cartesian robot manipulator with the assumption that the base motion can completely in accordance with the specified manner (Abe, 2011). The eigenspectrum and eigenfunctions of a flexible manipulator are investigated by ignoring the disturbance of the base movement (Coleman and Mcsweeney, 2004). However, considering the coupling fact of the flexible manipulator and the driving base, there are some inadequacies for the dynamic analysis of the flexible manipulator in existing research.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear modelling and dynamic stability analysis of a flexible Cartesian robotic manipulator with base disturbance and terminal load

Fan

et al. 2017

Mech. Sci.

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Abstract. The flexible Cartesian robotic manipulator (FCRM) is coming into widespread application in industry. Because of the feeble rigidity and heavy deflection, the dynamic characteristics of the FCRM are easily influenced by external disturbances which mainly concentrate in the driving end and the load end. Thus, with the influence of driving base disturbance and terminal load considered, the motion differential equations of the FCRM under the plane motion of the base are constructed, which contain the forced and non-linear parametric excitations originated from the disturbances of base lateral and axial motion respectively. Considering the relationship between the coefficients of the motion differential equations and the mode shapes of the flexible manipulator, the analytic expressions of the mode shapes with terminal load are deduced. Then, based on multiple scales method and rectangular coordinate transformation, the average equations of the FCRM are derived to analyze the influence mechanism of base disturbance and terminal load on the system parametric vibration stability. The results show that terminal load mainly affects the node locations of mode shapes and mode frequencies of the FCRM, and the axial motion disturbance of the driving base introduces parametric excitation while the lateral motion disturbance generates forced excitation for the transverse vibration model of the FCRM. Furthermore, with the increase of the base excitation acceleration and terminal load, the parametric vibration instability region of the FCRM increases significantly. This study will be helpful for the dynamic characteristics analysis and vibration control of the FCRM.

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“…Li et al 4 extended the well-known Melnikov method for smooth system to a class of piecewise smooth planar system, used the Hamiltonian function to measure the distance of the perturbed stable and unstable manifolds, and studied the chaotic dynamics in the piecewise smooth system numerically. Chu et al 5 investigated the impact vibration characteristics of a shrouded blade with asymmetric gaps under wake flow excitation. U Andreaus and MD Angelis 6 researched nonlinear dynamic response of a base-excited single degree-of-freedom (SDOF) oscillator with double-side constraints.…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of a single degree-of-freedom impact oscillator with impulse excitation

Wang

Shen

Yang

2017

Advances in Mechanical Engineering

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In this article, the dynamical behavior of a single degree-of-freedom impact oscillator with impulse excitation is studied, where the mass impacts at one stop and is shocked with impulse excitation at the other stop. The existing and stability conditions for periodic motion of the oscillator are established. The effects of system parameters on dynamical response are discussed under different initial velocities. It is found that smaller shock gap than impact gap could make the periodic motion more stable. The decrease in natural frequency would consume less impact energy, make the vibration frequency smaller, and reduce the vibration efficiency. Finally, the dynamical properties are further analyzed under a special case, that is, the shock gap approaches zero. It could be seen that the larger shock coefficient and impact restitution coefficient would make vibration period smaller. Based on the stability condition, there are an upper limit for the product of shock coefficient and impact restitution coefficient, so that a lower limit of corresponding vibration period exists.

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Impact vibration characteristics of a shrouded blade with asymmetric gaps under wake flow excitations

Cited by 38 publications

References 23 publications

Nonlinear dynamics and triboelectric energy harvesting from a three-degree-of-freedom vibro-impact oscillator

Nonlinear dynamics and triboelectric energy harvesting from a three-degree-of-freedom vibro-impact oscillator

Nonlinear modelling and dynamic stability analysis of a flexible Cartesian robotic manipulator with base disturbance and terminal load

Dynamical analysis of a single degree-of-freedom impact oscillator with impulse excitation

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