动力学与控制学报
動力學與控製學報
동역학여공제학보
JOURNAL OF DYNAMICS AND CONTROL
2014年
1期
18-23
,共6页
压电发电悬臂梁%非线性建模%主共振%跳跃现象
壓電髮電懸臂樑%非線性建模%主共振%跳躍現象
압전발전현비량%비선성건모%주공진%도약현상
Piezoelectric cantilever for power generation%Nonlinearity%Primary resonance%Jump phenom-ena
以单晶悬臂梁压电发电装置为研究对象,在考虑压电材料非线性的情况下,利用广义Hamilton原理、Rayleigh-Ritz法、Euler-Bernoulli梁理论及压电元件恒定电场假设建立了悬臂梁压电发电装置的分布式机电耦合模型,通过数值计算分析谐振频率附近解的特性与系统参数及初始条件的关系,揭示了压电材料非线性、外激励参数对系统响应的影响规律,并通过实验验证了解析解的正确性。结果表明,压电材料的非线性特性会导致近似解的共振峰向左偏移,呈现软特性的非线性特征;当激励频率变化时,系统响应存在多解、跳跃等现象,主共振解的真正实现与初始条件的选取有关。
以單晶懸臂樑壓電髮電裝置為研究對象,在攷慮壓電材料非線性的情況下,利用廣義Hamilton原理、Rayleigh-Ritz法、Euler-Bernoulli樑理論及壓電元件恆定電場假設建立瞭懸臂樑壓電髮電裝置的分佈式機電耦閤模型,通過數值計算分析諧振頻率附近解的特性與繫統參數及初始條件的關繫,揭示瞭壓電材料非線性、外激勵參數對繫統響應的影響規律,併通過實驗驗證瞭解析解的正確性。結果錶明,壓電材料的非線性特性會導緻近似解的共振峰嚮左偏移,呈現軟特性的非線性特徵;噹激勵頻率變化時,繫統響應存在多解、跳躍等現象,主共振解的真正實現與初始條件的選取有關。
이단정현비량압전발전장치위연구대상,재고필압전재료비선성적정황하,이용엄의Hamilton원리、Rayleigh-Ritz법、Euler-Bernoulli량이론급압전원건항정전장가설건립료현비량압전발전장치적분포식궤전우합모형,통과수치계산분석해진빈솔부근해적특성여계통삼수급초시조건적관계,게시료압전재료비선성、외격려삼수대계통향응적영향규률,병통과실험험증료해석해적정학성。결과표명,압전재료적비선성특성회도치근사해적공진봉향좌편이,정현연특성적비선성특정;당격려빈솔변화시,계통향응존재다해、도약등현상,주공진해적진정실현여초시조건적선취유관。
The electromechanical coupling model of cantilevered piezoelectric harvester was developed by consid-ering the nonlinearities of piezoelectric material,based on Hamilton theory,Rayleigh-Ritz method,Euler-Ber-noulli beam theory and constant electrical field across the piezoelectric element.The response characteristics of the system were investigated numerically,and the influences of piezoelectric material nonlinear coefficient on the system response were analyzed.By exploring the nonlinear characteristics of the piezoelectric vibrator near the resonant frequency,the nature of the multi -solutions and jump phenomena in the resonance region was re-vealed.The results were verified experimentally.which provides a theoretical basis for the study of nonlinear mechanism of piezoelectric power generation system.