第一作者 尹俊红 女，博士生，1986年生

通信作者 李青宁 男，教授，博导，1952年生

邮箱：lqn952@163.com

基于精细积分法的结构碰撞反应谱研究

尹俊红，李青宁，张瑞杰，程麦理，闫磊，孙建鹏，韩春

(西安建筑科技大学 土木工程学院，西安710055)

摘要：碰撞是导致结构地震破坏的重要原因之一，其与两碰撞结构的动力性能和地震作用密切相关，应给出与两个结构动力参数相关的反应谱，以指导结构考虑碰撞的抗震设计。本文给出相邻结构碰撞加速度反应谱定义，推导了精细积分法碰撞计算公式，进行了该反应谱曲面的分析和探讨。结果表明，精细积分法适用于结构碰撞问题的计算，可得到高精度的解，无条件稳定且可提高计算效率。碰撞会加大结构的加速度响应；动力特性相同的两相邻结构产生的响应有差异；增大阻尼比和相邻结构阻尼比差别、以及设置足够大的初始间隙，可有效降低结构的碰撞响应。

关键词：结构碰撞；精细积分法；加速度反应谱；阻尼比；间隙

基金项目：国家自然科学基金资助项目(51078306)；国家自然科学基金资助项目(51408453)；高等学校博士学科点专项科研基金资助项目(20106120110004)；高等学校博士学科点专项科研基金资助项目(20136120120022)

收稿日期：2014-07-24修改稿收到日期：2014-09-30

中图分类号:U442.55文献标志码： A

Structural impact response spectra based on precise time-integration method

YINJun-hong,LIQing-ning,ZHANGRui-jie,CHENGMai-li,YANLei,SUNJian-peng,HANChun(College of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China)

Abstract:Collision is one of the main reasons leading to damage of structures under earthquake excitation,it is closely related to structures’ dynamic characteristics and earthquake action. Response spectra for two adjacent impacting structures related to their dynamic parameters should be deduced to guide their aseismic design considering impact. Here, acceleration response spectra for impact between two adjacent structures were defined, the calculation formulas of pounding based on precise time-integration method were derived,and the response spectra were analyzed and discussed. The study results indicated that the precise time-integration method with high accuracy, unconditionally stable and improved efficiency is suitable for the computation of structural impact problems; acceleration responses of structures increase due to pounding, the responses of two adjacent structures with the same dynamic characteristics are different; to increase damping ratios of the two structures and the difference between the two ratios, and to set up enough large initial gap between the two structures can effectively reduce their impact responses.

Key words: structural pounding; precise time-integration method; acceleration response spectrum; damping ratio; gap

碰撞会对结构造成极大损害[1-2]，碰撞问题被认为是影响结构地震反应和抗震性能的一个重要因素。

利用精细时程积分法无条件稳定、精度高和受时间步长限制小的特点，将其引入求解结构的碰撞问题，验证精细积分法的计算精度和适用性。……