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Analysis of Accuracy for Wilson-θ Method with Modified Acceleration |
Fang Deping ;Wang Quanfeng |
College of Civil Engineering, Huaqiao University, 362021, Quanzhou |
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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.
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Received: 13 March 2009
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