Mode superposition methods based on hysteretic damping assumption used in seismic calculation of hybrid structures

• Published in: Future generation computer systems Vol. 124; pp. 361 - 368
• Main Authors: Liu, Qinglin, Yuan, Xiongzhou, Gao, Huaguo, Fu, Xueyi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2021
• Subjects: Hybrid structure; Hysteretic damping assumption; Mode superposition method; Seismic calculation; Seismic calculation; Mode superposition method; Hysteretic damping assumption; Hybrid structure
• ISSN: 0167-739X; 1872-7115
• DOI: 10.1016/j.future.2021.06.006

To make it mathematically easy to solve, various practical time history analysis methods are all based on the viscous damping assumption to establish the dynamic equations of the system. From the viscous damping assumption, the conclusion that the damping force or its energy dissipation of the system is proportional to the frequency of the system can be deduced, which is not consistent with the experimental results. When the classical mode superposition method based on the viscous damping assumption is used to calculate the dynamic response of a hybrid structure under an earthquake, how to calculate the modal damping ratio or how to determine a number of significant frequencies of the response to calculate the damping matrix has always been an urgent problem to be resolved in the engineering community. Since the hysteretic damping assumption is consistent with the experimental results, the mode superposition method based on the hysteretic damping assumption is explored in this paper to solve the above problems. The mode superposition method based on the hysteretic damping assumption can avoid the modal damping ratio trouble of the classical mode superposition method based on the viscous damping assumption, and its damping matrix has advantages of simple construction method and small construction workload and clear physical meaning. In this paper, the complex mode superposition method and the real mode superposition method based on the hysteretic damping assumption are studied, the calculation results and calculation efficiency of the two methods are analyzed and compared, and the conclusion is drawn that the real mode superposition method is better than the complex mode superposition method. •Present study introduces two-mode superposition methods systematically, both avoid the modal damping ratio trouble of classical mode superposition method, and the damping matrix is simple and less workload in construction, and clear in the physical meaning.•The obtained results and efficiency of the two-mode superposition methods are analyzed and compared, and their advantages and disadvantages are pointed out to improve the calculation efficiency.