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为研究大变形带来的非线性特性,基于几何精确梁理论建立一种用于叶片的非线性单元。该叶片单元考虑了材料非线性以及截面偏心的影响。采用Gauss-Lobatto积分和微分求积法离散积分形式的平衡方程,并推导出增量线性方程。用3个标准算例验证单元的正确性。最后,该叶片单元被应用于10 MW风力机的叶片和整机模态分析,准确地获得风力机系统的固有频率和振型。
In order to study the nonlinear characteristics caused by large deformation, a nonlinear element for the blade is established based on the geometrically accurate beam theory. The blade element takes into account the material nonlinearity and the effect of cross-section eccentricity. The equilibrium equation of discrete integral form of Gauss-Lobatto integral and differential quadrature method is adopted, and the incremental linear equation is deduced. Use three standard examples to verify the correctness of the unit. Finally, the blade unit is applied to the modal analysis of the blade and the whole machine of a 10 MW wind turbine, and the natural frequency and mode shape of the wind turbine system are accurately obtained.