求解加速度反应的显式积分格式研究

Study on explicit integration formula for dynamic acceleration response

目前波动显式有限元分析多以位移或速度作为输入,而加速度记录更直接地保留了地震动的原始信息。为此,本文发展了一种直接以地震加速度作为输入的显式算法,该算法以中心差分和New-m ark-β法结合,并通过平衡方程约简得到。以水塔及框架结构为例,与现有振型分解联合Duham el积分方法、Newm ark-β隐式解法及五种显式算法进行了对比分析。结果表明:该算法与文献[3]的方法,可以在保证计算效率的前提下,得到与振型分解联合Duham el积分方法、Newm ark-β隐式解法相吻合的加速度反应。

Displacement and velocity are often inputted in wave motion explicit FEM at present, while acceleration record directly reflects the original information of seismic wave. As a result, an explicit integration formula, based on both center difference method and Newmark-β method, and reduced by equilibrium equation, is proposed. Water tower and framework structure dynamic analysis indicated that, the acceleration response of the formula and the method in reference [ 3 ] are agree well with that of mode analysis associating with Duhamel integral method and Newmark-βimplicit method, when the efficiency of calculation is ensured.