DocumentCode
3027127
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
fYear
2013
fDate
29-30 June 2013
Firstpage
797
Lastpage
800
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Digital Manufacturing and Automation (ICDMA), 2013 Fourth International Conference on
Conference_Location
Qingdao
Type
conf
DOI
10.1109/ICDMA.2013.190
Filename
6598111
Link To Document