Modified Wilson-theta Method under State Feedback and Its Calculation Stability

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...

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Vydáno v:	2013 Fourth International Conference on Digital Manufacturing & Automation s. 797 - 800
Hlavní autoři:	Huang Qingfeng, Huang Qunxian
Médium:	Konferenční příspěvek
Jazyk:	angličtina
Vydáno:	IEEE 01.06.2013
Témata:	Acceleration Accuracy Asymptotic stability deviation of movement state Equations equilibrium equation feedback Mathematical model Numerical stability stability State feedback Wilson-θ method
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Shrnutí:	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.
DOI:	10.1109/ICDMA.2013.190