俯仰-沉浮-襟翼气动弹性后颤振压电能量收集中的可压缩空气动力学与刚体支撑运动
Compressible aerodynamics and rigid-body support motion in post-flutter piezoelectric energy harvesting from a pitch-plunge-flap aerofoil
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中文总结 AI 辅助
本研究将可压缩气动模型与自由支撑运动同时引入带襟翼翼型的压电能量收集器，发现两项修正对功率可相乘，但对颤振边界需按换能器状态区分，且耦合可反转其效应符号。
中文摘要 AI 辅助
在带有后缘襟翼的俯仰和沉浮翼型上安装压电换能器，可将颤振后的极限环振荡转化为电能。此前，对该能量收集器的两项建模修改已被分别研究。用可压缩欧拉方程替代不可压缩条带理论，减弱了安装在俯仰自由度上的换能器的稳定效应（此时电时间常数与颤振频率相匹配），并提高了收集功率；而让翼型截面抵抗可自由平移的机身（而非刚性地面）运动，则对上述两个指标产生约相同幅度的类似影响。本文将这两项修改同时纳入一个模型，由于支撑的平移对壁面的位移与沉浮运动完全相同，因此无需在流动求解器中引入新的网格运动。在收集功率方面，两项已发表的修正效应简单相乘。在颤振边界方面，它们的复合效应超过简单叠加，且在足够强的耦合下，会在两篇配套论文进行能量收集的负载电阻处反转换能器效应的符号，尽管单独任一项修改均不会导致符号反转。自由支撑拓宽了两种气动模型在符号上不一致的电阻范围，将其上边界扩大了约三倍。在电极点与颤振频率相遇的电阻值之上（此时换能器表现为附加刚度），已发表修正的乘积对频移的预测误差在千分之七以内。在该电阻值之下（此时换能器表现为相位相关的阻尼器），该乘积的误差高达十四倍，且在俯仰安装时符号错误。同一换能器在降低颤振边界的同时，也减缓了边界之上不稳定性的增长。因此，逐项修改得到的修正项能否相乘，取决于所考察的物理量，并且对于颤振边界，还取决于换能器的工作状态。
英文摘要
A piezoelectric transducer on a pitching and plunging aerofoil with a trailing edge flap turns the limit cycle that follows flutter into electrical power, and two modelling changes to that harvester have been studied separately. Replacing incompressible strip theory by the compressible Euler equations reduces the stabilising effect of a transducer mounted on the pitch, where the electrical time constant meets the flutter frequency, and raises the harvested power, and letting the section react against a fuselage free to translate, instead of rigid ground, does the same two things by about the same amounts. Here both changes are put in one model, which needs no new mesh motion in the flow solver, since the support's translation displaces the wall exactly as the plunge does. On the harvested power the two published corrections simply multiply. On the flutter boundary they more than compound, and at strong enough coupling they reverse the sign of the transducer's effect at the load resistance where both companion papers harvest, although neither change alone reverses it. The free support widens the band of resistance over which the two aerodynamic models disagree in sign, carrying its upper edge out by about a factor of three. Above the resistance where the electrical pole meets the flutter frequency, where the transducer acts as an added stiffness, the product of the published corrections predicts the shift to within seven parts in a thousand. Below it, where the transducer acts as a damper whose effect depends on phase, the product is wrong by a factor of up to fourteen, and on the pitch mounting by a sign. The same transducer lowers the boundary while flattening the growth of the instability above it. Whether corrections found one change at a time may be multiplied therefore depends on the quantity and, for the flutter boundary, on the regime of the transducer.
发表机构
- Institute of Communications and Computer Systems (ICCS), National Technical University of Athens（雅典国立技术大学通信与计算机系统研究所）
- Department of Environmental Sciences, University of Thessaly（色萨利大学环境科学系）
- DASKALOS APPS
机构由 AI 辅助整理，请以论文原文为准。
