This study investigates the effect of coupling configuration on a state-of-the-art harvesting system consisting of a series of spring-coupled piezoelectric nonlinear monostable tip-loaded cantilever-based vibration energy harvesters (VEHs). The investigation finds favorable coupling configurations that exploit complex nonlinear interaction for improving system performance. The system model incorporates the beam's geometric nonlinearities in the governing equation using inertial and stiffness nonlinear terms. The study first analytically investigates the effect of grounding stiffness on a single harvester's performance. Then, it numerically investigates the effect of increasing array size and changing stiffness distribution. The study discovers a novel hardening/softening transition phenomenon at a critical grounding stiffness value induced by the inertial nonlinear effect. This critical event also maximizes peak output power near the largest eigenfrequency at an optimum grounding stiffness value. At larger arrays, the peak power shows a complex bifurcation behavior, hinting at the presence of multiple attractors. The numerical study of different stiffness configurations and linearized eigenanalysis reveals the necessity of a multilevel optimization strategy focused on both the stiffness ratio between the coupling springs' and their overall stiffness level. This study bridges the gap between previous studies on spring-coupled linear and bistable arrays, offering new insights into coupled nonlinear interactions and proposing novel optimization strategies.

中文翻译：

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惯性非线性和耦合刚度对一系列耦合采集器的作用


本研究研究了耦合配置对最先进的能量收集系统的影响，该系统由一系列弹簧耦合压电非线性单稳态尖端加载悬臂梁振动能量收集器 (VEH) 组成。研究发现了有利的耦合配置，可以利用复杂的非线性相互作用来提高系​​统性能。系统模型使用惯性和刚度非线性项将梁的几何非线性纳入控制方程中。该研究首先分析研究了接地刚度对单个收割机性能的影响。然后，它以数值方式研究了增加阵列尺寸和改变刚度分布的影响。该研究发现了由惯性非线性效应引起的临界接地刚度值处的新型硬化/软化转变现象。这一关键事件还在最佳接地刚度值下使最大本征频率附近的峰值输出功率最大化。在较大的阵列中，峰值功率表现出复杂的分叉行为，暗示存在多个吸引子。不同刚度配置和线性特征分析的数值研究揭示了关注耦合弹簧之间的刚度比及其整体刚度水平的多级优化策略的必要性。这项研究弥补了之前关于弹簧耦合线性和双稳态阵列的研究之间的差距，为耦合非线性相互作用提供了新的见解，并提出了新颖的优化策略。