To predict electrical generation in piezoelectric small-scale beam energy harvesting devices, it is important to have a complete mathematical model that captures the different associated phenomena. In the literature, some authors propose several alternatives of non-linear mathematical formulations, with non-linearities coming from different physical aspects. All these formulations present good aptitudes to predict the nonlinear behavior of the system under different values of accelerations, geometry and boundary conditions. At the same time, they do not represent a unified general proposal for modeling multimodal energy harvesting devices of any type of mode generation and boundary conditions at large excitations. In this sense, this paper presents a mathematical description of inextensional nonlinear Euler-Bernoulli piezoelectric beams that combines the best contributions of the literature to the voltage generation of multimodal nonlinear piezoelectric energy harvesters (geomet...

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具有几何，材料和阻尼非线性的压电梁模型，用于能量收集

为了预测压电小规模束能量采集设备中的发电，重要的是要有一个完整的数学模型来捕获不同的相关现象。在文献中，一些作者提出了几种非线性数学公式的替代方案，其中非线性来自不同的物理方面。所有这些公式都具有很好的能力，可以预测在不同的加速度，几何形状和边界条件下的系统非线性行为。同时，它们并不代表用于在大激励下对任何类型的模式生成和边界条件的多模式能量采集设备进行建模的统一通用建议。在这个意义上说，