CAJ | 학술논문

针对磁电弹性薄板，结合大挠度板理论，考虑几何非线性，建立了非线性无阻尼强迫振动的数学模型，应用改进的 L－P 法，对非线性无阻尼强迫振动问题进行求解，得到薄板稳定状态下的幅频响应方程，数值模拟了不同情况下系统的幅频响应曲线图。通过比较分析得出：板的厚度、外激励力、参数ε的不同取值以及压电材料 BaTiO3、压磁材料 CoFe2 O4及磁电弹材料 BaTiO3/CoFe2 O4与 Terfenol－D /PZT 均会对系统的幅频响应曲线产生影响，主要表现为对系统主共振区间，弹簧软硬特性，幅值跳跃现象的影响。这些结论在理论上可以更好地指导工程结构的设计。
침대자전탄성박판，결합대뇨도판이론，고필궤하비선성，건립료비선성무조니강박진동적수학모형，응용개진적 L－P 법，대비선성무조니강박진동문제진행구해，득도박판은정상태하적폭빈향응방정，수치모의료불동정황하계통적폭빈향응곡선도。통과비교분석득출：판적후도、외격려력、삼수ε적불동취치이급압전재료 BaTiO3、압자재료 CoFe2 O4급자전탄재료 BaTiO3/CoFe2 O4여 Terfenol－D /PZT 균회대계통적폭빈향응곡선산생영향，주요표현위대계통주공진구간，탄황연경특성，폭치도약현상적영향。저사결론재이론상가이경호지지도공정결구적설계。
Considering magneto-electro-elastic thin plate ,the von Karman plate theory of large deflection and the geometric nonlinearity ,the mathematical model of nonlinear undamped forced vibration is established .Making use of the improved Lindstedt-Poincare (L-P) method ,the undamped forced vibration problem is solved ,and the amplitude-frequency response equation of thin plate is obtained .Furthermore ,the amplitude frequency response curves of system under different condi -tions are obtained by numerical simulation .The results show that the thickness of the plate ,mechanical excitation ,parame-ter ε ,pure piezoelectric material of BaTiO3 ,pure piezomagnetic material of CoFe2 O4 ,different magneto-electro-elastic ma-terials of BaTiO3/CoFe2 O4 and Terfenol-D/PZT will have an impact on the system frequency response .The main effects in-volve principal resonance interval ,spring stiffness characteristic and amplitude jumping phenomena .