爆炸荷载线性强化抗力模型梁构件动力系数研究  

Study on dynamic coefficient of beam members with linear hardening resistance model under blast load

作　　者：耿少波 韩晓丹[1] 牛艳伟 韩云山[1] 马林林 GENG Shao-bo;HAN Xiao-dan;NIU Yan-wei;HAN Yun-shan;MA Lin-lin(School of Environment and Safety Engineering,North University of China,Taiyuan 030051,China;Research Center of Highway Large Structure Engineering on Safety,Ministry of Education,Chang’an University,Xi’an 710064,China)

机构地区：[1]中北大学环境与安全工程学院,太原030051 [2]长安大学公路大型结构安全教育部工程研究中心,西安710064

出　　处：《计算力学学报》2024年第5期886-893,共8页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(51408558);山西省基础研究计划(202203021211099);旧桥检测与加固技术交通运输行业重点实验室(长安大学)开放基金(300102212516);陕西省自然科学基础研究计划(2023-JC-YB-292);中央高校基本科研业务费专项资金(300102214907)资助项目。

摘　　要：目前梁构件抗爆设计动力系数计算常采用理想弹塑性抗力模型,制约着塑性强化抗力构件的精细化抗爆设计。为解决线性强化抗力类型梁构件的爆炸作用动力系数计算问题,由抗力强化系数和阻尼比数值大小关系,分三种情况推导了柔性和刚性两类构件关于延性比的动力系数解析解。有限元分析及规范对比算例表明,本文推导理论公式精度较高,与抗爆设计规范公式计算结果趋势相似;延性比为1时,抗力强化系数与动力系数无关;延性比大于1且抗力强化系数小于0.01时,可忽略抗力强化系数的影响;延性比大于2时,需考虑阻尼参数后完成抗爆设计分析;延性比大于3时且抗力强化系数大于0.1时,线性强化抗力模型具有较好经济效益。The ideal elastic-plastic resistance model is used extensively in the calculation of dynamic coefficients for beam members subjected to blast load.This conventional model restricts the refined analysis of blast resistant beam members with linear hardening resistance.In order to determine the dynamic coefficient of beam members with linear hardening resistance,according to the numerical relationship between resistance hardening coefficient and damping ratio,the analytical solutions of the dynamic coefficient based on the ductility ratio of flexible and rigid beam members are derived in three cases.The results of finite element analysis and specification comparison show that the derived theoretical formula has high accuracy and similar trend to the calculation results from blast resistant design specification formula.When the ductility ratio is 1,the hardening coefficient of resistance is independent of the dynamic coefficient.When the ductility ratio is greater than 1 and the hardening coefficient is less than 0.01,the influence of the hardening coefficient can be ignored.When the ductility ratio is greater than 2,the damping parameter should be considered in the beam blast resistant design analysis.When the ductility ratio is greater than 3 and the hardening coefficient is greater than 0.1,the linear hardening resistance model has better economic benefits.

关 键 词：线性强化抗力模型 爆炸荷载 动力系数 延性比 梁构件 

分 类 号：TH212[机械工程—机械制造及自动化] O302[理学—力学]