Simplified monoharmonic approach to investigation of forced vibrations of thin wall multilayer inelastic elements with piezoactive layers under cyclic loading
Simplified monoharmonic approach to investigation of forced vibrations of thin wall multilayer inelastic elements with piezoactive layers under cyclic loading
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DOI：
10.1007/s00419-010-0408-9
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发表时间：
2011-02
影响因子：
2.8
通讯作者：
Y. Zhuk;I. Guz;C. Sands
中科院分区：
文献类型：
--
作者：
Y. Zhuk;I. Guz;C. Sands
基于Kirchhoff-Love假设，提出了薄壁多层元件的耦合动力学问题。在谐波荷载的情况下，使用单谐波方法和复模量的概念给出了一个简化的公式来表征材料的循环特性。以三层梁的强迫振动问题为例，说明了该技术的可行性。三层梁的外层由粘弹性压电材料制成，内层由被动物理非线性材料制成。研究了在压电层外施加谐波电压抑制结构强迫振动的可能性。用完整模型得到的梁的瞬态响应结果与用简化模型得到的数据进行了比较。说明了简化模型应用的局限性。
A coupled dynamic problem of electromechanics for thin wall multilayer elements is formulated based on the Kirchhoff–Love hypotheses. In the case of harmonic loading, a simplified formulation is given using the monoharmonic approach and the concept of complex moduli to characterize the cyclic properties of the material. The problem of forced vibrations of three-layer beam, whose outer layers are made of a viscoelastic piezoactive material, and, the inner layer of a passive physically nonlinear material, is considered as an example to demonstrate the possibility of the technique elaborated. The possibility of damping the forced vibrations of a structure with the help of harmonic voltages applied to the external piezoactive layers is studied. Results obtained for the transient response of the beam using the complete model are compared with data found using the simplified model. Limitations on the simplified model application are specified.