动力学与控制学报
動力學與控製學報
동역학여공제학보
Journal of Dynamics and Control
2015年
4期
300-307
,共8页
曹东兴%吴鹏%张伟%姚明辉
曹東興%吳鵬%張偉%姚明輝
조동흥%오붕%장위%요명휘
能量采集%屈曲梁-质量-弹簧系统%幅频特性%非线性振动
能量採集%屈麯樑-質量-彈簧繫統%幅頻特性%非線性振動
능량채집%굴곡량-질량-탄황계통%폭빈특성%비선성진동
energy harvesting%buckled beam-mass-spring system%amplitude-frequency characteristics%nonlinear vibration
基于压电效应设计了一种包含屈曲梁、质量块和非线性弹簧的新型压电俘能器结构,并对其进行了振动响应分析。首先基于 Euler-Bernoulli 梁理论,利用 Hamilton 原理建立了压电俘能器结构的非线性动力学方程,通过 Galerkin 离散后数值分析了结构参数对系统一阶固有频率的影响;进一步利用多尺度法对系统进行摄动分析,研究了系统的稳态幅频特性,数值分析了各系数对幅频响应曲线的影响,结果表明该结构在简谐激励作用下会存在多种跳跃现象;最后数值分析了压电俘能器的发电性能,讨论了激励幅值和初始静挠度对发电电压的影响。
基于壓電效應設計瞭一種包含屈麯樑、質量塊和非線性彈簧的新型壓電俘能器結構,併對其進行瞭振動響應分析。首先基于 Euler-Bernoulli 樑理論,利用 Hamilton 原理建立瞭壓電俘能器結構的非線性動力學方程,通過 Galerkin 離散後數值分析瞭結構參數對繫統一階固有頻率的影響;進一步利用多呎度法對繫統進行攝動分析,研究瞭繫統的穩態幅頻特性,數值分析瞭各繫數對幅頻響應麯線的影響,結果錶明該結構在簡諧激勵作用下會存在多種跳躍現象;最後數值分析瞭壓電俘能器的髮電性能,討論瞭激勵幅值和初始靜撓度對髮電電壓的影響。
기우압전효응설계료일충포함굴곡량、질량괴화비선성탄황적신형압전부능기결구,병대기진행료진동향응분석。수선기우 Euler-Bernoulli 량이론,이용 Hamilton 원리건립료압전부능기결구적비선성동역학방정,통과 Galerkin 리산후수치분석료결구삼수대계통일계고유빈솔적영향;진일보이용다척도법대계통진행섭동분석,연구료계통적은태폭빈특성,수치분석료각계수대폭빈향응곡선적영향,결과표명해결구재간해격려작용하회존재다충도약현상;최후수치분석료압전부능기적발전성능,토론료격려폭치화초시정뇨도대발전전압적영향。
A new class of vibration energy harvester was introduced based on piezoelectric effect,which is com-posed of a buckling unimorph PZT beam,a mass and a nonlinear spring.Based on the Euler-Bernoulli beam model,the nonlinear governing equations were constructed for the energy harvester using Hamilton′s principle. First,the natural frequency was computed and discussed with the change of structural parameters.Then,the method of multiple scales was utilized to perturbation analysis.And the amplitude-frequency characteristics were discussed based on numerical simulation.The nonlinear jumping phenomenon is found for the vibration energy harvester.Finally,the voltage effect of the energy harvester was discussed between the output voltage and the ex-ternal excitations.