Abstract:
The vibration frequency is one of the key control factors in the structural design of wind turbines. To quickly obtain the first-order vibration frequency of onshore wind turbine steel-concrete hybrid towers during the design phase, this paper proposes a rapid calculation method for the vibration frequency of hybrid tower structures based on the Rayleigh energy method. By assuming the structural deflection shape, a generalized single-degree-of-freedom system motion equation for the hybrid tower structure is established, from which the first-order vibration frequency calculation formula is derived. Through the construction of a parametric model for hybrid tower structures, the influence of parameters such as the height ratio of the concrete tower section and elastic modulus on the tower's deflection shape is investigated. Using displacement data from 210 hybrid tower models with varying parameters, a shape function suitable for hybrid tower structures is fitted. The calculation results of the method proposed exhibit a relative error of less than 2% compared to finite element analysis results, and a relative error of less than 4% compared to measured natural fundamental frequencies of actual towers. These findings demonstrate that the formula proposed for calculating the natural fundamental frequency of steel-concrete hybrid towers offers high accuracy and can provide a reliable support for the design of hybrid tower structures.