Nonlinear resonance in Anaconda
Nonlinear resonance in Anaconda
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Anaconda 中的非线性共振
作者：
C. Mei
摘要本文从动物动脉力学的角度出发，提出了一种波能转换器的非线性理论。该装置是一根长而中空的橡胶管，浸没在海面下。通过外部传递的水波激发，压力波在管内产生共振，并向船尾推进，旋转涡轮机以产生动力。为了解释显著的放大，血管的经典线性理论被修改。忽略衍射，但包括非线性和壁面摩擦。谐波振幅的空间演化被证明是由一个类似于非线性光学中的动力学系统。最大可用功率通量的预测作为管的长度和其他结构参数的函数。希望该理论可以帮助进一步开发新的设备。
Abstract A nonlinear theory is developed for a recent wave energy converter design inspired by the mechanics of animal arteries. The device is a long and hollow rubber tube immersed beneath the sea surface. Excited by passing water waves outside, pressure waves are resonated inside the tube and advance toward the stern to spin a turbine for power production. To account for significant magnification, the classical linear theory of blood vessels is modified. Diffraction is neglected but nonlinearity and wall friction are included. The spatial evolution of harmonic amplitudes is shown to be governed by a dynamical system similar to that in nonlinear optics. The maximum available power flux is predicted as a function of the tube length and other structural parameters. It is hoped that the theory may assist further development of the novel device.