Title :
Modified Wilson-theta Method under State Feedback and Its Calculation Stability
Author :
Huang Qingfeng ; Huang Qunxian
Author_Institution :
Coll. of Civil Eng., Huaqiao Univ., Xiamen, China
Abstract :
In this paper, using system´s dynamic equilibrium equation to determine the imbalance component of calculation acceleration in Wilson-θ integration algorithm, then react to original system as feedback to revise the computational movement state. Two approaches are presented: to revise in lagged time step, it would retain the unconditional stability of original method; to revise in real time, it would be conditional stability in case of θ≥1.37 and Δt ≥ 1 / √2π . As a contract, the situation of Newmark method is discussed also.
Keywords :
differential equations; stability; state feedback; Newmark method; calculation acceleration; calculation stability; computational movement state; differential equation; dynamic equilibrium equation; imbalance component; integration algorithm; modified Wilson-theta method; state feedback; Acceleration; Accuracy; Asymptotic stability; Equations; Mathematical model; Numerical stability; State feedback; Wilson-θ method; deviation of movement state; equilibrium equation; feedback; stability;
Conference_Titel :
Digital Manufacturing and Automation (ICDMA), 2013 Fourth International Conference on
Conference_Location :
Qingdao
DOI :
10.1109/ICDMA.2013.190
