Accuracy analysis of Wilson-θ method with modified acceleration

作者：Fang De Ping^*; Wang Quan Feng

来源：Journal of Vibration and Shock, 2010, 29(6): 216-218.

• Accuracy analysis
• Accuracy Improvement
• Calculation precision
• Dynamic equilibrium equation
• Linear acceleration method
• Linear accelerations

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+▵t; 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.

• 出版日期2010