纵向辅磁双稳态压电悬臂梁非线性动力学

    Nonlinear Dynamicson Auxiliary Magnet for a Bistable Piezoelectric Cantilever Beam

    • 摘要: 为了解决双稳态压电悬臂梁输出电压小等问题,引入了上吸引下排斥纵向辅助磁力,通过实验研究了辅助磁力对于双稳态压电悬臂梁复杂非线性动力学行为的影响.实验所用的材料为上下对称的层合梁,压电层的材料为极化后的PVDF,基层的材料为黄铜.对压电悬臂梁进行简谐激励,通过电压和位移的正向扫频和逆向扫频研究系统的跳跃现象,研究辅助磁力对于系统动力学行为的影响,分析纵向辅助磁力对系统由倍周期分叉进入混沌运动的影响.实验结果表明:当辅助磁铁与主磁铁之间的距离较大时,该双稳态系统表现出明显的硬弹簧特性;当辅助磁铁与主磁铁之间的距离较小时,该双稳态系统表现出明显的软弹簧特性;当辅助磁铁与主磁铁之间的距离由小变大时,系统表现出复杂化的非线性行为.

       

      Abstract: This paper introduced the auxiliary magnetic force based on the bistable piezoelectric cantilever beam in order to improve the voltage output of the bistable piezoelectric cantilever beam. The influence of the auxiliary magnetic force on the complex nonlinear dynamic responses of the bistable piezoelectric cantilever beam was studied. The experiment structure was a symmetric laminated beam.The material of the piezoelectric layer was PVDF,and the material of the basic layer was brass. The excitation of the piezoelectric cantilever beam was the harmonic excitation. The jump phenomenon was studied by the forward sweep frequency and the reverse sweep frequency of the voltage and displacement.The effect of longitudinal auxiliary magnetic force on the chaotic motion of the system was researched.Experimental results showed that when the distance between the auxiliary magnet and the primary magnet is large,the bistable system exhibits obvious hard spring characteristic. When the distance between the auxiliary magnet and the primary magnet is small,the bistable system exhibits obvious soft spring characteristic. In addition,when the distance between the auxiliary magnet and the primary magnet is small,the nonlinear dynamics of the system tends to be rich and complex.

       

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