子区间法的稳定性和精度

Stability and Accuracy of Subinterval Method

子区间法在研究结构动力响应中优势明显,但尚需解决稳定性和精度等问题.文中分析了单步和两步子区间法递推格式的条件稳定性和精度,探讨了其无条件稳定递推格式的构造.在条件稳定区间,精度分析表明,单步和两步子区间法递推格式无周期延长和振幅衰减;对于无条件稳定的递推格式,其计算阻尼很大,无法满足计算精度的要求.

Subinterval method possesses obvious superiority over structural dynamic response analysis,yet its stability and accuracy have not been well solved.This paper analyzes the conditional stability and accuracy analysis of single- and two-step subinterval methods,and discusses the unconditional stable recurrence algorithms.In conditional stable interval,the accuracy analysis shows that there are no period delay and amplitude attenuation in recurrence algorithms of single- and two-step subinterval method,while unconditional stable recurrence algorithms can't satisfy the requirement on calculating accuracy because of its high computational damping.