基于均匀五次B样条插值求解动力响应的时间积分法

摘要

为求解结构动力响应，提出了一种新的逐步积分方法。通过五次的B样条插值在局部时间域上对位移、速度和加速度进行离散，给出了逐步逆推的计算格式。通过双参数控制算法的稳定性和计算精度。该方法具有自起步、无中间计算环节的特点。数值实例表明，本文算法的精度很高，明显优于Newmark法、Wilson法。%In order to calculate structural dynamic response , a new step-by-step integration is presented .The step-by-step recursion method is deduced on the basis of uniform quintic B -spline interpolation of nodal displacement , velocity, and acceleration within a local time domain .Two parameters are introduced to meet good stability and accuracy .The proposed method has advantages of self-starting and no middle computational procedure .The numerical results and the comparison with Newmark and Wilson method show this method possesses high calculation accuracy .