Non-linear vibration of blade bending and fluttering of vertical axis wind turbines
碩士 === 國立臺灣大學 === 應用力學研究所 === 101 === Vertical axis wind turbine has the benefit of operation that is independent of the direction, and less noise. In recent years there are more and more people involved in research of VAWTs. In this present paper, we adopt NACA0015 to be analysis model. Using nonli...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2013
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| Online Access: | http://ndltd.ncl.edu.tw/handle/75579716003645920511 |
| Summary: | 碩士 === 國立臺灣大學 === 應用力學研究所 === 101 === Vertical axis wind turbine has the benefit of operation that is independent of the direction, and less noise. In recent years there are more and more people involved in research of VAWTs. In this present paper, we adopt NACA0015 to be analysis model. Using nonlinear analysis to analyze resonance and stability of amplitude – force frequency relation of wind blade . The nonlinear term is cause by the axial force that owing to bending deformation. We start form basic theory of mechanics of materials. To find the strain potential energy and retained to the second order nonlinearity. Consider the kinetic energy of operating VAWTs. Using the Hamilton’s principle to derive the governing equation and then dimensionless the equation. Consider real condition to simplify the governing equation. Appling Galerkin’s method to equation and get the amplitude force frequency relation for different frequency. Using perturbation methods to designate the stable and unstable zones. In linear system the leading edge direction is uncouple, and the other bending direction is couple with torsion. So we first consider the bending and torsion coupling equation. In the last part of section we consider the two bending equation to compared with above. Simultaneously applied Runge-Kutta fourth order method to solve equation. And using FFT to analyze the result. Then use different method to present the result. Finally make a verification by compare the analysis and numerical result.
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