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首页> 外文期刊>The Journal of Strain Analysis for Engineering Design >Analyzing nonlocal nonlinear vibrations of two-phase geometrically imperfect piezo-magnetic beams considering piezoelectric reinforcement scheme
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Analyzing nonlocal nonlinear vibrations of two-phase geometrically imperfect piezo-magnetic beams considering piezoelectric reinforcement scheme

机译：考虑压电加固方案的两相几透露压电梁的非局部非线性振动

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摘要

This article deals with analyzing nonlinear free vibrations of nonlocal two-phase piezo-magnetic beam with geometric imperfection rested on viscoelastic substrate. The two-phase piezo-magnetic material is based on a composition of piezoelectric and magnetic constituents with desirable percentages. An assumption is that the nanobeam is rested in an initial position due to geometric imperfection. In addition, the equilibrium equations of nanobeam with piezo-magnetic properties are derived utilizing Hamilton's principle and the von Karman geometric nonlinearity. Then, an exact solution based on the Jacobi elliptic functions has been provided to obtain nonlinear vibration frequency. It is found that nonlinear vibration behavior of the nanobeam is dependent on the magnitude of induced electric voltage, magnetic field intensity, geometric imperfection, and viscoelastic substrate parameters.
机译：本文涉及在粘弹性基板上分析非局部两相压电磁束的非线性自由振动。双相压电材料基于具有所需百分比的压电和磁性成分的组成。假设是由于几何缺陷导致的纳米流搁置在初始位置。此外，利用Hamilton的原理和von Karman几何非线性导出具有压电性质的纳米云的平衡方程。然后，已经提供了基于Jacobi椭圆函数的精确解决方案以获得非线性振动频率。发现纳米流的非线性振动行为取决于感应电压，磁场强度，几何缺陷和粘弹性基板参数的幅度。

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