基于一种高精度微分求积法的结构动力响应数值计算

Numerical Computation for Structural Dynamic Responses Based on a Highly Accurate Differential Quadrature Method

采用了一种高阶精度的 Pade逼进的时间域上格栅取点的时间步积分的微分求积方法 ,对双质点系及梁在强迫力作用下的振动特性进行了数值分析。计算结果表明 ,这种方法具有明显的高精度及低耗时并且对于二阶初值问题是无条件稳定的。在所考虑的时域内的动力响应过程中 。

A kind of unconditionally stable higher-order accurate time step integration algorithms has been applied, of which the numerical solutions are found to be equivalent to the generalized Pade approximations, for second-order initial value problems based on the differential quadrature method (DQM). The vibrant characteristic is numerically computed for the double-degree-of-freedom systems and a beam forced by a changing load. Results show that the algorithm has the capability of producing highly accurate solutions with minimal time consumption. In whole time integral process of the dynamic responses, the total energy of the system is conserved.