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将精细积分法与Wilson-θ法结合起来求解结构动力方程,提出了Wilson-θ精细积分法,并应用于结构的地震时程反应分析中。该方法通过引入Wilson-θ法的基本假设,对结构动力微分方程进行降阶,然后再应用精细积分法和牛顿-柯特斯公式进行逐步积分,这样既降低了矩阵的阶数又避免了矩阵的求逆。最后,给出若干算例,计算结果表明,该方法对于地震作用具有较好的适应性,且精度好,效率高,可以在工程中推广应用。
The precise integration method is combined with the Wilson-θ method to solve the structural dynamic equation. The Wilson-θ precise integration method is proposed and applied to the seismic response analysis of structures. By introducing the basic assumption of Wilson-θ method, this method reduces the dynamic differential equations of the structure and then integrates step by step using the precise integration method and the Newton-Cortez equation, which not only reduces the order of the matrix but also avoids the matrix Inversion. Finally, a number of examples are given. The calculation results show that this method has good adaptability to earthquake action and has good accuracy and high efficiency. It can be widely applied in engineering.