加速度修正的Wilson-θ法的精度分析  

Accuracy analysis of wilson-θ method with modified acceleration

作　　者：方德平[1] 王全凤[1] 

机构地区：[1]华侨大学土木工程学院,福建泉州362021

出　　处：《振动与冲击》2010年第6期216-218,共3页Journal of Vibration and Shock

基　　金：高等学校博士点专项科研基金(200803850001);华侨大学科研启动费项目(07BS508)

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。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.

关 键 词：WILSON-Θ法 稳定性 计算精度 线性加速度法 

分 类 号：TU311.3[建筑科学—结构工程]