Elastic-plastic seismic collision analysis of adjacent structures based on the precise integration method

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (14) : 59-66.

ZHANG Ruijie, LI Qingning, WANG Tianli, YE Yi, SUN Jianpeng

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Abstract

Under strong earthquake, the structure will inevitably enter into the plastic state and collide with adjacent structures. The adjacent complex structures were modeled as several single degree of freedom structures, and contact elements were added between adjacent structures to simulate multipoint collisions. The seismic responses were divided into two states, the seperation state and the collision state, and then the incremental dynamic equation and the total dynamic equation were established respectively. Further more, the precise integration method for the incremental dynamic equation of the separation state and the total dynamic equation of the collision state were derived. In addition, the exact analysis on the boundary points of the hysteresis curve and the separationcollision state transition were settied. An algorthm of combining the incremental precise integration method and total precise integration method was designed to solve the elasticplastic seismic collision responses of structures. Numerical examples show that the algorithm can accurately simulate the material nonlinear behavior and collision behavior of structures. On this basis, the parametric analysis of the contact element model was carried out, and the conclusion is helpful to further understand the collision phenomenon of adjacent structures.

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earthquake / multi-point collision / precise integration method / hysteresis model / contact element model: algorithm

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ZHANG Ruijie, LI Qingning, WANG Tianli, YE Yi, SUN Jianpeng. Elastic-plastic seismic collision analysis of adjacent structures based on the precise integration method[J]. Journal of Vibration and Shock, 2018, 37(14): 59-66

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