Research on the Dynamic Behaviors of the Vortex Induced Vibration Power Generation System Under Nonlinear Restoring Forces

LIU Lilan; REN Hang; LI Jiajia; WANG Jiayi; WANG Shen; WU Ziying

doi:10.21656/1000-0887.450090

Volume 46 Issue 4

Apr. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(4): 465-482

LIU Lilan, REN Hang, LI Jiajia, WANG Jiayi, WANG Shen, WU Ziying. Research on the Dynamic Behaviors of the Vortex Induced Vibration Power Generation System Under Nonlinear Restoring Forces[J]. Applied Mathematics and Mechanics, 2025, 46(4): 465-482. doi: 10.21656/1000-0887.450090

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Research on the Dynamic Behaviors of the Vortex Induced Vibration Power Generation System Under Nonlinear Restoring Forces

doi: 10.21656/1000-0887.450090

School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, P.R.China

Funds:

The National Science Foundation of China(11572243)

Received Date: 2024-04-08
Rev Recd Date: 2024-08-25

Available Online: 2025-04-30

Abstract

Abstract

An underwater vortex-induced vibration power generation system under nonlinear restoring forces was proposed. The nonlinear restoring force was generated by means of the geometrical nonlinearity of linear springs arranged obliquely. The lateral reciprocating motion of the oscillator was transformed into a unidirectional rotary motion of the generator by dint of unidirectional bearings and gear-rack mechanisms, a booster box and a rotor generator. The dynamic flow-structure-electricity coupling equations for the vortex-induced vibration power generation system were established. Then the static equilibrium point bifurcation of the nonlinear vibration of the oscillator and the ranges of different stable state motions were obtained under the nonlinear vibration theory. The nonlinear dynamic behaviors of the oscillator under the conditions of PF-2SN and 2PF-2SN bifurcations were studied mainly. The bifurcation graphs, phase graphs and Poincaré mappings of the system were achieved. The vibration behaviors and motion laws of the oscillator under the conditions of single-period small motion, large chaos motion and quasi-periodic large motion were analyzed. Then, the generation power values of the generator for different stable state motions of the oscillator were also calculated. The results show that, in the PF-2SN bifurcation mode, the system has obvious advantages in vibration and power generation in the bi-stable motion, with an average amplitude ratio of 2.18 and a maximum power of 24.45 W. While in the 2PF-2SN bifurcation mode, the vibration and power generation of the system are more superior in the tri-stable motion, with an average amplitude ratio of 1.98 and a maximum power generation of 18.32 W.
- nonlinear restoring force,
- static/dynamic bifurcation,
- vortex induced vibration,
- capture,
- power generation

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References(24)

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