发表机构
National Technical University of Athens; University of Thessaly; DASKALOS APPS（雅典国立技术大学; 色萨利大学; 达斯卡洛斯应用公司）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文比较了条带理论与欧拉全阶模型在俯仰-沉浮翼型压电能量收集中的预测，发现条带理论低估功率并高估换能器稳定性影响，而四状态降阶模型虽能复现主要指标，但轨道形状误差无法通过扩基消除。
AI 中文摘要
在具有有限质量后缘襟翼的俯仰-沉浮翼型中嵌入压电换能器，可将颤振后的极限环振荡转换为电能。迄今为止，此类收集器的设计结论均基于不可压缩条带理论获得，其气动状态仅为少数滞后变量。本文将该翼型截面、相同换能器及相同测试工况改为与二维可压缩欧拉方程耦合，构建了一个具有一万两千个状态的全阶模型，并将两种气动模型在颤振边界、极限环及收集功率方面进行并列比较，同时将条带理论结果与CFD提供的高保真气动建模结果进行对比。承载换能器的自由度仍是首要设计变量，安装方式的排序保持不变且差异更显著，而条带理论被发现低估了可压缩截面的收集功率，并在电时间常数与颤振频率相遇时高估了换能器对稳定性的影响。一个基于感兴趣速度下耦合雅可比矩阵特征向量构建的四状态非线性降阶模型，能够复现循环频率、俯仰振幅、换能器电压及平均功率，但在轨道中沉浮与俯仰的比例及其相位上存在偏差。该误差被证明与循环振幅无关，且不随基的扩大而消除，这表明误差存在于保留子空间内而非展开阶数中，并提示此类模型应依据轨道形状而非单一振幅来评判。
英文摘要
A piezoelectric transducer embedded in a pitch-plunge aerofoil with a finite-mass trailingedge flap converts the limit-cycle oscillation that follows flutter into electrical power. The design findings for such a harvester have so far been obtained with incompressible strip theory, whose aerodynamic state is a handful of lag variables. Here the same section, the same transducer and the same test cases are coupled instead to the two-dimensional compressible Euler equations, giving a full-order model of twelve thousand states, and the two aerodynamic models are placed side by side on the flutter boundary, on the limit cycle and on the harvested power, with the strip-theory results compared against higher fidelity aerodynamic modelling provided by CFD. The degree of freedom carrying the transducer remains the first-order design variable, and the ranking of the mountings and the position of the optimum in the coupling and load-resistance plane are unchanged, while strip theory is found to underpredict the harvested power of the compressible section and to overstate the effect of the transducer on stability where the electrical time constant meets the flutter frequency. A nonlinear reduced model of four states, built on eigenvectors of the coupled Jacobian at the velocity of interest, reproduces the frequency of the cycle, its pitch amplitude, the transducer voltage and the mean power, and misstates the proportion of plunge to pitch in the orbit and its phase. That error is shown to be independent of the amplitude of the cycle and to survive enlargement of the basis, which places it in the retained subspace rather than in the order of the expansion, and suggests that such models should be judged on the shape of the orbit rather than on a single amplitude.
Comments15 pages, 4 figures
