Stability of an explicit time-integration algorithm for hybrid tests, considering stiffness hardening behavior

An explicit unconditionally stable algorithm for hybrid tests, which is developed from the traditional HHT-α algorithm, is proposed. The unconditional stability is first proven by the spectral radius method for a linear system. If the value of α is selected within [-0.5, 0], then the algorithm is sh...

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Vydáno v:Earthquake Engineering and Engineering Vibration Ročník 17; číslo 3; s. 595 - 606
Hlavní autoři: Wang, Tao, Zhou, Huimeng, Zhang, Xipeng, Ran, Tianran
Médium: Journal Article
Jazyk:angličtina
Vydáno: Harbin Institute of Engineering Mechanics, China Earthquake Administration 01.07.2018
Springer Nature B.V
Témata:
Algorithms
Civil Engineering
Collision dynamics
Control
Dynamic stability
Dynamic tests
Dynamical Systems
Earth and Environmental Science
Earth Sciences
Geotechnical Engineering & Applied Earth Sciences
Hardening
Mathematical models
Methods
Nonlinear systems
Root locus
Stability analysis
Stiffness
Technical Paper
Tests
Time integration
Vibration
explicit integration algorithm
stiffness identification
HHT-α algorithm
root locus method
unconditional stability
ISSN:1671-3664, 1993-503X
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Shrnutí:An explicit unconditionally stable algorithm for hybrid tests, which is developed from the traditional HHT-α algorithm, is proposed. The unconditional stability is first proven by the spectral radius method for a linear system. If the value of α is selected within [-0.5, 0], then the algorithm is shown to be unconditionally stable. Next, the root locus method for a discrete dynamic system is applied to analyze the stability of a nonlinear system. The results show that the proposed method is conditionally stable for dynamic systems with stiffness hardening. To improve the stability of the proposed method, the structure stiffness is then identified and updated. Both numerical and pseudo-dynamic tests on a structure with the collision effect prove that the stiffness updating method can effectively improve stability.
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ISSN:1671-3664
1993-503X
DOI:10.1007/s11803-018-0465-6