摘要
罕遇地震作用下,结构会不可避免进入塑性状态,并且相邻结构会产生碰撞现象。将相邻的复杂结构简化为多个单自由度结构,并在相邻结构间增加接触单元,以模拟多点碰撞。地震反应过程区分为分离状态和碰撞状态,分别建立了增量动力平衡方程和全量动力平衡方程,推导了分离状态增量动力平衡方程和碰撞状态全量动力平衡方程的精细积分法,并解决了滞回曲线界点的精确分析和分离-碰撞状态转换问题。设计了增量精细积分法和全量精细积分法相结合求解弹塑性地震碰撞反应的算法。通过算例分析,验证该算法能精确地模拟结构的材料非线性行为和碰撞行为。在此基础上,对接触单元模型进行参数化分析,结论有助于进一步理解相邻结构碰撞现象。
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.
作者
张瑞杰
李青宁
王天利
叶毅
孙建鹏
ZHANGRuijie;LI Qingning;WANG Tianli;YE Yi;SUN Jianpeng(School of Civil Engineering,Xi - an University of Architecture and Technology,Xi - an 710055,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2018年第14期59-66,共8页
Journal of Vibration and Shock
基金
国家自然科学基金(51508453
51408453)
陕西省教育厅科研计划资助项目(14JK1418)
关键词
地震
多点碰撞
精细积分法
滞回模型
接触单元模型
算法
earthquake
nmlti-point collision
precise integration method
hysteresis model
contact element model
algorithm
