势流淹没双层欧拉-伯努利梁的振动数值研究

IF 0.8
Zihua Liu, Tao Gao, Choi-Hong Lai, Wenxing Guo
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引用次数: 0

摘要

本研究涉及无叶片风力涡轮机的结构振动问题,其模型为双层欧拉-伯努利梁,由周围势能流引起。挠度由欧拉-伯努利方程控制,该方程首先通过线性理论进行研究,然后通过空间有限差分法和弧长配位法以及时间隐式欧拉法进行数值计算。重力作用下的流体运动受全欧拉方程支配,并通过时变共形映射技术和伪谱法求解。对有/无随机噪声的流体表面移动扰动激励进行了数值实验。产生水面噪声的随机过程由维纳过程驱动。随机计算采用蒙特卡罗方法。产生的表面波冲击横梁,引起结构振动,并对此进行了详细介绍和讨论。通过基本统计分析,发现由白噪声引起的随机水动力扰动的结构响应为高斯响应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A numerical investigation on the vibration of a two-deck Euler–Bernoulli beam flooded by a potential flow
This work concerns the structural vibration of a bladeless wind turbine, modelled by a two-deck Euler–Bernoulli beam, due to a surrounding potential flow. The deflection is governed by the Euler–Bernoulli equation which is studied first by a linear theory and then computed numerically by a finite difference method in space with a collocation method over the arc length, and an implicit Euler method in time. The fluid motion in the presence of gravity is governed by the full Euler equations and solved by the time-dependent conformal mapping technique together with a pseudo-spectral method. Numerical experiments of excitation by a moving disturbance on the fluid surface with/without a stochastic noise are carried out. The random process involved in generating the noise on the water surface is driven by a Wiener Process. A Monte Carlo method is used for stochastic computations. The generated surface waves impinge on the beam causing structural vibration which is presented and discussed in detail. By elementary statistical analysis, the structural response subject to the stochastic hydrodynamic disturbance caused by white noise is found to be Gaussian.
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