应用数学和力学2025，Vol.46Issue(4)：465-482,18.DOI:10.21656/1000-0887.450090
引入非线性恢复力的涡激振动发电系统动力学行为研究
Research on the Dynamic Behaviors of the Vortex Induced Vibration Power Generation System Under Nonlinear Restoring Forces
摘要
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 unidirec-tional 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 vi-bration 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 vi-bration 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.关键词
非线性恢复力/静态/动态分岔/涡激振动/俘获/发电Key words
nonlinear restoring force/static/dynamic bifurcation/vortex induced vibration/capture/power generation分类
力学引用本文复制引用
刘丽兰,任航,李佳佳,王甲一,汪甡,吴子英..引入非线性恢复力的涡激振动发电系统动力学行为研究[J].应用数学和力学,2025,46(4):465-482,18.基金项目
国家自然科学基金(11572243) （11572243）
