基于均匀七次B样条插值求解动力响应的逐步积分法

摘要

为求解结构动力响应提出新的时间积分法。该方法采用均匀七次 B 样条插值近似对局部时间域节点位移、速度及加速度进行离散。给出动力平衡方程求解的逆推格式与算法流程。分析表明，通过选择合适参数可提高计算精度，且使算法绝对稳定。计算数值解精度较高，明显优于传统的 Newmark 法与 Wilson -θ法。%A new explicit time integration method was given for the solving of structural dynamic response.The proposed method was derived on the basis of uniform septuple B-spline interpolation approximation of nodal displacement, velocity and acceleration within any local time domain.The recursion formula of dynamic equilibrium equations was given as well as its computation procedure.The analysis shows,the proposed method can be unconditionally stable by selecting proper parameters.The numerical examples show,compared with the conventional Newmark method and Wilson-θmethod,the proposed method possesses high calculation accuracy.