【摘要】 土石坝动力分析常用的是Wilson-θ积分方法,但该方法用于分析高频问题和大步长问题时精度较低。针对该缺点提出一种改进的二次加速度积分法,该算法与一步二次加速度积分法相比,计算精度不变、稳定性要求容易满足,计算用时大大减少。对算法的基本原理、稳定性及精度进行了分析,并给出一个土石坝动力分析的算例,验证了该算法的可行性。与常用的Wilson-θ法、Newmark法和中心差分法进行了数值比较。计算结果表明:该算法在分析高频问题和大步长问题时,计算精度较高。更多还原

【Abstract】 As a commonly used dynamic integration analysis method of earth-rock dam,Wilson-θ method has comparatively low accuracy in analyzing problems involving high frequency and long time interval.Aiming at the disadvantages,an improved quadratic acceleration integration method is put forward.Compared with the one step quadratic acceleration integration method,its numerical accuracy remains the same and the requirements of stability are more easily satisfied but the time needed in calculation is reduced sharply.And then,the fundamental,stability and accuracy of the method are analyzed.Moreover,a case study about the earth-rock dam dynamic analysis is given to prove the feasibility of the method.At last,by comparing the results of the proposed method with those of Wilson-θ method,Newmark method and Central difference method,the numerical accuracy has been analyzed.The results indicate that the proposed method is highly accurate in analyzing problems especially in high frequency and long time interval.更多还原