A Modeling Method for Soil-FoundationWind Turbine Seismic Analysis Based on Foundation Impedance
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摘要: 利用Chebyshev复多项式在数值拟合中的优越性以及递归函数理论,将风机基础的频域阻抗函数等效为可直接用于结构时域分析的Chebyshev递归集总参数模型.并根据d’Alembert(达朗伯尔)原理和时域逐步积分法,利用模型的递归特性编制了地震作用下求解土基础风机支撑结构时程响应的通用程序,通过对比算例验证了程序的有效性和优越性.最后对一个长桩群基础上的风机支撑结构进行了数值计算,研究表明本模型解决了集总参数模型高阶数值震荡的问题,并在求解风机支撑结构地震响应分析中具有稳定性好、通用性强的优点.
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关键词:
- 土-结构相互作用 /
- 风机 /
- 集总参数模型 /
- Chebyshev多项式 /
- 地震响应
Abstract: A Chebyshev nested lumped-parameter model (LPM) was proposed to incorporate the frequency-dependent impedances into the time history analysis of soil-foundation-wind turbine systems. The complex Chebyshev polynomials were introduced to approximate the foundation impedances with the least squares curve-fitting technique. The computational program for seismic analysis of the system was developed based on the direct integration of the governing equation in the time domain. The validity and efficiency of the computational program were verified through the comparison examples. The time history analysis of a wind turbine supported by a pile group foundation under seismic excitation shows the universality and stability of the computational program. The advantage of the Chebyshev nested LPM is that it can express the frequency-dependent impedance accurately in the time domain and avoid the high-order numerical oscillation. The nested form of the model enables wider application to different kinds of foundations. In addition, as the present model adopts no mass unit, it avoids the problem of modifying the seismic loading at the node of the foundation and makes the analysis of practical engineering more convenient. -
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