【摘要】 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。更多还原

【Abstract】 The precise integration method and Wilson-θ method are combined to compute the structural dynamic equation,and wilson-θ precise integration method is proposed,and applied to structural seismic time-history response analysis.The method through introducing Wilson-θ method basic assumptions,the structural dynamic differential equations of order reduction,then the application of precise integration method and Newton Cotes formula of integration not only reduces the matrix of order and avoids the matrix inverse.Finally,some examples are given,the calculation results show that the method has good adaptability to seismic action,and good accuracy and high efficiency,which can be applied in the project.更多还原