【摘要】 Wilson-θ法分为加速度未经过和经过t+Δt时刻动力平衡方程修正的Wilson-θ①法和Wilson-θ②法。Wilson-θ①法是无条件稳定的,而Wilson-θ②法不再是无条件稳定的。计算精度分析表明:Wilson-θ②法对计算精度的提高不明显;其稳定的范围和计算精度均小于线性加速度法,不宜采用。更多还原

【Abstract】 There exist two kinds of Wilson-θ methods,namely,Wilson-θ ① and ② methods.In Wilson-θ ① method,the accelerations remain unmodified by the dynamic equilibrium equations at time t+Δt;while in Wilson-θ ② method,the accelerations are modified.The stability of Wilson-θ ① method is unconditional,while the stability of Wilson-θ ② method is not unconditional.The analysis of calculation precision shows: the accuracy improvement by Wilson-θ ② method is not significant,moreover,both the stability range and accuracy are less than those of the linear acceleration method.So Wilson-θ ② method wouldn’t be adopted.更多还原