【摘要】 基于动力反应递推计算格式传递矩阵的性质,进行了饱和两相介质波动问题时域显式有限元方法稳定性问题的研究。定义了综合考虑各种影响因素的稳定性判别指标——传递因子;研究了稳定性影响因素,包括时间步长、空间步距和渗透系数取值的作用规律;给出了方法稳定性的实用判别准则。研究结果表明:时间步长、空间步距和渗透系数取值都对饱和两相介质波动问题的时域显式有限元方法的稳定性有较为显著的影响。随着时间步长的增大,方法的稳定性降低;随着空间步距的增大,方法的稳定性增加;当渗透系数取值增大时,方法的稳定性增加。更多还原

【Abstract】 The stability of time-domain explicit finite element method for wave motion of fluid-saturated porous media is studied based on the transfer matrix of calculating formula of dynamic response.A new discriminant index-transfer factor,which considers different influence factors synthetically,is defined to describe the stability of the method.The effects of time step,space interval and the value of permeability coefficient on stability are analyzed and the practical stability criterion is put forward.Calculating results show that with increase of time step,the stability of the method is reduced,with the increase of space interval,the stability is enhanced,and with the increase of the value of permeability coefficient,the stability of the method will be enhanced also.更多还原