Restoring force correction based on online discrete tangent stiffness estimation method for real-time hybrid simulation
- 29 Downloads
In real-time hybrid simulation (RTHS), it is difficult if not impossible to completely erase the error in restoring force due to actuator response delay using existing displacement-based compensation methods. This paper proposes a new force correction method based on online discrete tangent stiffness estimation (online DTSE) to provide accurate online estimation of the instantaneous stiffness of the physical substructure. Following the discrete curve parameter recognition theory, the online DTSE method estimates the instantaneous stiffness mainly through adaptively building a fuzzy segment with the latest measurements, constructing several strict bounding lines of the segment and calculating the slope of the strict bounding lines, which significantly improves the calculation efficiency and accuracy for the instantaneous stiffness estimation. The results of both computational simulation and real-time hybrid simulation show that: (1) the online DTSE method has high calculation efficiency, of which the relatively short computation time will not interrupt RTHS; and (2) the online DTSE method provides better estimation for the instantaneous stiffness, compared with other existing estimation methods. Due to the quick and accurate estimation of instantaneous stiffness, the online DTSE method therefore provides a promising technique to correct restoring forces in RTHS.
Keywordsonline discrete tangent stiffness estimation restoring force correction fuzzy segment parameter updating real-time hybrid simulation
Unable to display preview. Download preview PDF.
- Carrion JE (2007), “Model-based Strategies for Real-Time Hybrid Testing,” Ph.D. Dissertation, University of Illinois at Urbana-Champaign, Urbana.Google Scholar
- Castaneda N (2012), “Development and Validation of a Real-Time Computational Framework for Hybrid Simulation of Dynamically-Excited Steel Frame Structures,” Ph.D. Dissertation, School of Civil Engineering, Purdue Univ. West Lafayette, IN.Google Scholar
- Chen Cheng and Ricles JM (2008b), “Real-Time Hybrid Testing Using an Unconditionally Stable Explicit Integration Algorithm,” Structures Congress 2008: Crossing Borders (pp. 1–10).Google Scholar
- Cui Q, Xi Ping and Dai Mo (2006), “An Improved Method for Tangent Estimation of Digital Curves,” Journal of Engineering Graphics, 27(1): 70–75.Google Scholar
- Nakashima M, Kaminosomo T and Ishida M and Ando K (1990), “Integration Techniques for Substructure Pseudo Dynamic Test,” Proc., 4th U.S. National Conf. on Earthquake Engineering, Palm Springs, CA, Vol. 2, 515–524.Google Scholar
- Newmark NM (1959), “A Method of Computation for Structural Dynamics,” Journal of the Engineering Mechanics Division, 85(1): 67–94.Google Scholar
- Reveillès JP (1991), “Géométrie discrete, calcul en nombres entiers et algorithmique,” Ph.D. Dissertation, Université Louis Pasteur, Strasbourg. (in French)Google Scholar
- Strutz T (2010), “Data Fitting and Uncertainty: a Practical Introduction to Weighted Least Squares and Beyond,” Vieweg and Teubner. ISBN 978-3-658-11455-8., chapter 3Google Scholar
- Vialard A (1996), “Geometrical Parameters Extraction from Discrete Paths,” Discrete Geometry for Computer Imagery, Lyon, France, November.Google Scholar
- Zhuang Biaozhong, Ge Tong and Yu Zheng (1991), “Dynamic Response of the Base Isolated Structure with Slide Bearings,” Journal of Zhejiang University (Nature Science), 25(2): 143–151. (in Chinese)Google Scholar