Abstract
The performance of structures with active variable stiffness (AVS) systems exhibits strong nonlinearity due to the variety with time of the stiffness of each storey unit, in which the AVS system is installed. Hence, the classical dynamic analysis method for linear structures, such as the mode-superposition method, is not applicable to structures with AVS systems. In this paper, an approximate analysis method is proposed for displacement responses of structures with AVS systems. Firstly, an equivalent relationship between single-degree-of-freedom (SDOF) structures equipped with AVS systems and so-called fictitious linear structures is established. Then, an approximate mode-superposition (AMS) method is presented for multi-degree-of-freedom (MDOF) structures equipped with AVS systems. The accuracy of this method is investigated through extensive parametrical study using different types of earthquake excitations, and some modification is made to the method. Numerical calculation results indicate that the modified AMS method is effective for estimating the maximum displacements relative to the ground and the maximum interstorey drifts of MDOF structures equipped with AVS systems.
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References
Chen YQ, Liu XH and Gong S L (1981) “Artificial Earthquakes Compatible with Standard Response Spectrum,” Journal of Building Structures, 2(4): 34–43 (in Chinese).
Feng DP (2000), “Theoretical and Experimental Study on Semi-active Structural Control System,”. Ph.D. thesis, Tianjin University (in Chinese).
Kamagata S and Kobori T (1994), “Autonomous Adaptive Control of Active Variable Stiffness Systems for Seismic Ground Motion,” Proc. 1st World Conf. on Struct. Control, Los Angeles, CA, Vol.2, TA4-33-TA4-42.
Kobori T et al. (1990), “Experimental Study on Active Variable Stiffness System-active Seismic Response Controlled Structure,” Proceedings of the 4th World Congress Council on Tall Buildings & Urban Habitat, pp.561–572.
Kobori T et al (1991a), “Shaking Table Experiment and Practical Application of Active Variable Stiffness (AVS) System,” Proc”, 2nd Conf. on Tall Buildings in Seismic Regions, 55th Regional Conf., pp.213–222.
Kobori T et al. (1991b) “Dynamic Loading Test of Real Scale Steel frame with Active Variable Stiffness Device,” Journal of Structural Engineering, 37B: 317–328.
Kobori T and Kamagata S (1992), “Active Variable Stiffness System-active Seismic Response Control,” Proc. U.S.-Italy-Japan Workshop/Symp. on Struct. Control and Intelligent Sys., Elsevier Science, New York, pp.140–153.
Nasu T, Kobori T, Takahashi M, Niwa N and Ogasawara K (2001) “Active variable stiffness system with non-resonant control”. Earthquake Engineering and Structural Dynamics, 30: 1597–1614.
Yamada K and Kobori T (1995) “Control Algorithm for Estimating Future Responses of Active Variable Stiffness Structure,” Earthquake Engineering and Structural Dynamics, 24: 1085–1099.
Yang JN, Wu JC and Li Z (1996) “Control of seismic-excited buildings using active variable stiffness systems,” Engineering Structures, 18(8): 589–596.
Yang JN, Li Z and Wu JC (1994), “Control of Seismic-excited Buildings Using Active Variable Stiffness Systems,” Proc. 1994 Am. Control Conf., IEEE, Piscataway, NJ, pp.1083–1088.
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Supported by: National Natural Science foundation of China, Grant number 59895410
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Wu, B., Liu, F. & Wei, D. Approximate analysis method for displacement responses of structures with active variable stiffness systems. Earthq. Engin. Engin. Vib. 1, 261–265 (2002). https://doi.org/10.1007/s11803-002-0071-4
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DOI: https://doi.org/10.1007/s11803-002-0071-4