加速度修正的Wilson-θ法的精度分析

方德平;王全凤

振动与冲击 ›› 2010, Vol. 29 ›› Issue (6) : 216-218.

PDF(1168 KB)
PDF(1168 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (6) : 216-218.
论文

加速度修正的Wilson-θ法的精度分析

  • 方德平;王全凤
作者信息 +

Analysis of Accuracy for Wilson-θ Method with Modified Acceleration

  • Fang Deping ;Wang Quanfeng
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摘要





Wilson-θ法分为加速度未经过和经过 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。

Abstract

There remain two kinds of Wilson-θ methods, namely, Wilson-θ ① and ② methods. In Wilson-θ ① method, the accelerations are not modified by the dynamic equilibrium equations at the time ; in Wilson-θ ② method, the accelerations are modified. The stability of Wilson-θ ① method is unconditional, but 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, both the stability range and accuracy are less than the ones 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

Key words

Wilson-θ method / stability / calculation precision / linear acceleration method

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导出引用
方德平;王全凤. 加速度修正的Wilson-θ法的精度分析[J]. 振动与冲击, 2010, 29(6): 216-218
Fang Deping;Wang Quanfeng. Analysis of Accuracy for Wilson-θ Method with Modified Acceleration[J]. Journal of Vibration and Shock, 2010, 29(6): 216-218

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